376 lines
11 KiB
BibTeX
376 lines
11 KiB
BibTeX
@article{Frame:2017fah,
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title = {Eigenvector {{Continuation}} with {{Subspace Learning}}},
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author = {Frame, Dillon and He, Rongzheng and Ipsen, Ilse and Lee, Daniel and Lee, Dean and Rrapaj, Ermal},
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year = {2018},
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journal = {Phys. Rev. Lett.},
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volume = {121},
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number = {3},
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pages = {032501},
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publisher = {{American Physical Society}},
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doi = {10.1103/PhysRevLett.121.032501}
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}
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@article{sarkar2021selflearning,
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title = {Self-learning emulators and eigenvector continuation},
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author = {Sarkar, Avik and Lee, Dean},
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journal = {Phys. Rev. Res.},
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volume = {4},
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issue = {2},
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pages = {023214},
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numpages = {6},
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year = {2022},
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month = {Jun},
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publisher = {American Physical Society},
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doi = {10.1103/PhysRevResearch.4.023214},
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url = {https://link.aps.org/doi/10.1103/PhysRevResearch.4.023214}
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}
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@book{taylor,
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place={New York},
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title={Scattering theory: the quantum theory on nonrelativistic collisions},
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publisher={Dover publications},
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author={Taylor, John Robert},
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year={2006}
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}
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@article{pedestrian,
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author = {de la Madrid,R. and Gadella,M. },
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title = {A pedestrian introduction to Gamow vectors},
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journal = {American Journal of Physics},
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volume = {70},
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number = {6},
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pages = {626-638},
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year = {2002},
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doi = {10.1119/1.1466817},
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URL = {https://doi.org/10.1119/1.1466817},
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eprint = {https://doi.org/10.1119/1.1466817}
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}
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@article{delaMadrid:2008sr,
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author = "de la Madrid, R.",
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title = "{The Resonance amplitude associated with the Gamow states}",
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eprint = "0810.0876",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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doi = "10.1016/j.nuclphysa.2008.08.003",
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journal = "Nucl. Phys. A",
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volume = "812",
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pages = "13--27",
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year = "2008"
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}
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@article{delaMadrid:2012aa,
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title = {The Rigged {{Hilbert}} Space Approach to the {{Gamow}} States},
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author = {{de la Madrid}, Rafael},
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year = {2012},
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journal = {Journal of Mathematical Physics},
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volume = {53},
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number = {10},
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pages = {102113},
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publisher = {{American Institute of Physics}},
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issn = {0022-2488},
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doi = {10.1063/1.4758925},
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langid = {english}
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}
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@book{kukulin1989theory,
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title = {Theory of Resonances: Principles and Applications},
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author = {Kukulin, V. I. and Krasnopolsky, V. M. and Hor{\'a}cek, J},
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isbn = {9789027723642},
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lccn = {lc88012649},
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series = {Reidel Texts in the Mathematical Sciences},
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year = {1989},
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publisher = {Springer Netherlands}
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}
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@book{jose_classical_2006,
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address = {Cambridge},
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edition = {6th printing},
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title = {Classical dynamics: a contemporary approach},
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isbn = {978-0-521-63636-0 978-0-521-63176-1},
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shorttitle = {Classical dynamics},
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language = {eng},
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publisher = {Cambridge Univ. Press},
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author = {José, Jorge V. and Saletan, Eugene J.},
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year = {2006}
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}
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@article{Fuda:1973zz,
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author = "Fuda, Michael G. and Whiting, James S.",
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title = "{Generalization of the Jost Function and Its Application to Off-Shell Scattering}",
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doi = "10.1103/PhysRevC.8.1255",
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journal = "Phys. Rev. C",
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volume = "8",
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pages = "1255--1261",
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year = "1973"
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}
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@article{Sarkar:2020mad,
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author = "Sarkar, Avik and Lee, Dean",
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title = "{Convergence of Eigenvector Continuation}",
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eprint = "2004.07651",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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doi = "10.1103/PhysRevLett.126.032501",
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journal = "Phys. Rev. Lett.",
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volume = "126",
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number = "3",
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pages = "032501",
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year = "2021"
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}
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@article{Bonilla:2022rph,
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author = "Bonilla, Edgard and Giuliani, Pablo and Godbey, Kyle and Lee, Dean",
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title = "{Training and projecting: A reduced basis method emulator for many-body physics}",
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eprint = "2203.05284",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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doi = "10.1103/PhysRevC.106.054322",
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journal = "Phys. Rev. C",
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volume = "106",
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number = "5",
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pages = "054322",
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year = "2022"
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}
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@article{Melendez:2022kid,
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author = "Melendez, J. A. and Drischler, C. and Furnstahl, R. J. and Garcia, A. J. and Zhang, Xilin",
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title = "{Model reduction methods for nuclear emulators}",
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eprint = "2203.05528",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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doi = "10.1088/1361-6471/ac83dd",
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journal = "J. Phys. G",
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volume = "49",
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number = "10",
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pages = "102001",
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year = "2022"
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}
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@misc{ghojogh2023eigenvalue,
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title={Eigenvalue and Generalized Eigenvalue Problems: Tutorial},
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author={Benyamin Ghojogh and Fakhri Karray and Mark Crowley},
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year={2023},
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eprint={1903.11240},
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archivePrefix={arXiv},
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primaryClass={stat.ML}
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}
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@misc{KroneckerSumWolfram,
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author = {Weisstein, Eric W.},
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title = {Kronecker Sum},
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note = {From {\it MathWorld} -- A Wolfram Web Resource. \url{https://mathworld.wolfram.com/KroneckerSum.html}},
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year = {2023}
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}
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@book{lehoucq1998arpack,
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title={ARPACK Users' Guide: Solution of Large-scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods},
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author={Lehoucq, R.B. and Sorensen, D.C. and Yang, C.},
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isbn={9780898714074},
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lccn={98061204},
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series={Software, Environments, and Tools},
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url={https://books.google.com/books?id=iMUea23N_CQC},
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year={1998},
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publisher={Society for Industrial and Applied Mathematics}
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}
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@article{Konig:2020lzo,
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title = {Few-{{Body Bound States}} and {{Resonances}} in {{Finite Volume}}},
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author = {K{\"o}nig, Sebastian},
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year = {2020},
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journal = {Few-Body Syst.},
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volume = {61},
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number = {3},
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pages = {20},
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issn = {1432-5411},
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doi = {10.1007/s00601-020-01550-8}
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}
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@unpublished{Groenenboom:2001aa,
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type = {Lecture {{Notes}}},
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title = {The {{Discrete Variable Representation}}},
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author = {Groenenboom, G. C.},
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year = {2001},
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address = {{University of Nijmwegen}},
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annotation = {Lecture Notes, Post Graduate course on Theoretical Chemistry and
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Spectroscopy Domaine des Masures, Han-sur-Lesse, Belgium},
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howpublished = "\url{https://www.theochem.ru.nl/files/dbase/gcg2001.pdf}"
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}
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@article{Bulgac:2013mz,
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author = "Bulgac, Aurel and Forbes, Michael McNeil",
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title = "{Use of the discrete variable representation basis in nuclear physics}",
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eprint = "1301.7354",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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reportNumber = "INT-PUB-13-004, NT@UW-13-08",
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doi = "10.1103/PhysRevC.87.051301",
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journal = "Phys. Rev. C",
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volume = "87",
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number = "5",
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pages = "051301",
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year = "2013"
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}
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@article{Klos:2018sen,
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author = {Klos, P. and K\"onig, S. and Hammer, H. W. and Lynn, J. E. and Schwenk, A.},
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title = "{Signatures of few-body resonances in finite volume}",
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eprint = "1805.02029",
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archivePrefix = "arXiv",
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primaryClass = "nucl-th",
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doi = "10.1103/PhysRevC.98.034004",
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journal = "Phys. Rev. C",
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volume = "98",
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number = "3",
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pages = "034004",
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year = "2018"
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}
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@article{Aguilar:1971ve,
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author = "Aguilar, J. and Combes, J. M.",
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title = "{A class of analytic perturbations for one-body schroedinger hamiltonians}",
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doi = "10.1007/BF01877510",
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journal = "Commun. Math. Phys.",
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volume = "22",
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pages = "269--279",
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year = "1971"
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}
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@article{Balslev:1971vb,
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author = "Balslev, E. and Combes, J. M.",
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title = "{Spectral properties of many-body schroedinger operators with dilatation-analytic interactions}",
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doi = "10.1007/BF01877511",
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journal = "Commun. Math. Phys.",
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volume = "22",
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pages = "280--294",
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year = "1971"
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}
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@article{Reinhardt:1982aa,
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author = {Reinhardt, W. P.},
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title = {Complex coordinates in the theory of atomic and molecular structure and dynamics},
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journal = {Annu. Rev. Phys. Chem.},
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volume = {33},
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pages = {223},
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year = {1982},
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keywords = {},
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url = {https://dx.doi.org/10.1146/annurev.pc.33.100182.001255}
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}
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@article{ho_method_1983,
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title = {The method of complex coordinate rotation and its applications to atomic collision processes},
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volume = {99},
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issn = {0370-1573},
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url = {https://www.sciencedirect.com/science/article/pii/0370157383901126},
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doi = {https://doi.org/10.1016/0370-1573(83)90112-6},
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number = {1},
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journal = {Physics Reports},
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author = {Ho, Y. K.},
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year = {1983},
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pages = {1--68},
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}
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@article{Konig:2019adq,
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title = {Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification},
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author = {K{\"o}nig, S. and Ekstr{\"o}m, A. and Hebeler, K. and Lee, D. and Schwenk, A.},
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year = {2020},
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journal = {Physics Letters B},
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volume = {810},
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pages = {135814},
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issn = {0370-2693},
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doi = {10.1016/j.physletb.2020.135814}
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}
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@article{Moiseyev:1978aa,
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title = {Resonance Properties of Complex-Rotated Hamiltonians},
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author = {Moiseyev, N. and Certain, P.R. and Weinhold, F.},
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doi = {10.1080/00268977800102631},
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langid = {english},
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journal = {Mol. Phys.}
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}
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@article{Moiseyev:1998aa,
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title = {Quantum Theory of Resonances: Calculating Energies, Widths and Cross-Sections by Complex Scaling},
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shorttitle = {Quantum Theory of Resonances},
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author = {Moiseyev, Nimrod},
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year = {1998},
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volume = {302},
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doi = {10.1016/S0370-1573(98)00002-7},
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langid = {english},
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journal = {Phys. Rept.}
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}
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@article{Afnan:1991kb,
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author = "Afnan, I. R.",
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title = "{Resonances in few body systems}",
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doi = "10.1071/PH910201",
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year = "1991"
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}
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@book{Moiseyev:2011,
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title = {Non-{{Hermitian Quantum Mechanics}}},
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author = {Moiseyev, Nimrod},
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year = {2011},
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publisher = {{Cambridge University Press}},
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isbn = {978-1-139-49699-5}
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}
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@article{Luscher:1985dn,
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title = {Volume dependence of the energy spectrum in massive quantum field theories - {I}. {Stable} particle states},
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volume = {104},
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issn = {1432-0916},
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url = {https://doi.org/10.1007/BF01211589},
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doi = {10.1007/BF01211589},
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language = {en},
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number = {2},
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urldate = {2021-01-25},
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author = {Lüscher, M.},
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month = jun,
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pages = {177--206},
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}
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@article{Luscher:1986pf,
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title = {Volume dependence of the energy spectrum in massive quantum field theories - {II}. {Scattering} states},
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volume = {105},
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issn = {1432-0916},
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url = {https://doi.org/10.1007/BF01211097},
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doi = {10.1007/BF01211097},
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language = {en},
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number = {2},
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urldate = {2021-01-25},
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journal = {Comm. Math. Phys.},
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author = {Lüscher, M.},
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}
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title = {Two-particle states on a torus and their relation to the scattering matrix},
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url = {https://www.sciencedirect.com/science/article/pii/0550321391903666},
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doi = {10.1016/0550-3213(91)90366-6},
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language = {en},
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number = {2-3},
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urldate = {2021-01-25},
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journal = {Nucl. Phys. B},
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author = {Lüscher, M.},
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year = {1991},
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note = {Publisher: North-Holland},
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pages = {531--578},
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} |