References analysis of the Wikipedia article "Non-Hermitian quantum mechanics" in the English version

arxiv.org

Hatano, Naomichi; Nelson, David R. (1996-07-15). "Localization Transitions in Non-Hermitian Quantum Mechanics". Physical Review Letters. 77 (3): 570–573. arXiv:cond-mat/9603165. Bibcode:1996PhRvL..77..570H. doi:10.1103/PhysRevLett.77.570. S2CID 43569614.

Bender, Carl M.; Boettcher, Stefan (1998-06-15). "Real Spectra in Non-Hermitian Hamiltonians Having $\mathsc{P}\mathsc{T}$ Symmetry". Physical Review Letters. 80 (24): 5243–5246. arXiv:physics/9712001. Bibcode:1998PhRvL..80.5243B. doi:10.1103/PhysRevLett.80.5243. S2CID 16705013.

Bender, Carl M. (2007). "Making sense of non-Hermitian Hamiltonians". Reports on Progress in Physics. 70 (6): 947–1018. arXiv:hep-th/0703096. Bibcode:2007RPPh...70..947B. doi:10.1088/0034-4885/70/6/R03. ISSN 0034-4885. S2CID 119009206.

Zhang, Ruili; Qin, Hong; Xiao, Jianyuan (2020-01-01). "PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability". Journal of Mathematical Physics. 61 (1): 012101. arXiv:1904.01967. Bibcode:2020JMP....61a2101Z. doi:10.1063/1.5117211. ISSN 0022-2488. S2CID 102483351.

Mostafazadeh, Ali (2002). "Pseudo-Hermiticity versus symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian". Journal of Mathematical Physics. 43 (1): 205–214. arXiv:math-ph/0107001. Bibcode:2002JMP....43..205M. doi:10.1063/1.1418246. ISSN 0022-2488. S2CID 15239201.

Mostafazadeh, Ali (2002). "Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum". Journal of Mathematical Physics. 43 (5): 2814–2816. arXiv:math-ph/0110016. Bibcode:2002JMP....43.2814M. doi:10.1063/1.1461427. ISSN 0022-2488. S2CID 17077142.

Mostafazadeh, Ali (2002). "Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries". Journal of Mathematical Physics. 43 (8): 3944–3951. arXiv:math-ph/0107001. Bibcode:2002JMP....43.3944M. doi:10.1063/1.1489072. ISSN 0022-2488. S2CID 7096321.

Scolarici, G. (2003-10-01). "On the pseudo-Hermitian nondiagonalizable Hamiltonians". Journal of Mathematical Physics. 44 (10): 4450–4459. arXiv:quant-ph/0211161. doi:10.1063/1.1609031.

Ruschhaupt, A; Delgado, F; Muga, J G (2005-03-04). "Physical realization of -symmetric potential scattering in a planar slab waveguide". Journal of Physics A: Mathematical and General. 38 (9): L171–L176. arXiv:1706.04056. doi:10.1088/0305-4470/38/9/L03. ISSN 0305-4470. S2CID 118099017.

Bender, Carl M.; Brody, Dorje C.; Müller, Markus P. (2017-03-30). "Hamiltonian for the Zeros of the Riemann Zeta Function". Physical Review Letters. 118 (13): 130201. arXiv:1608.03679. Bibcode:2017PhRvL.118m0201B. doi:10.1103/PhysRevLett.118.130201. PMID 28409977. S2CID 46816531.

doi.org

Dirac, P. A. M. (18 March 1942). "Bakerian Lecture - The physical interpretation of quantum mechanics". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 180 (980): 1–40. Bibcode:1942RSPSA.180....1D. doi:10.1098/rspa.1942.0023.

Pauli, W. (1 July 1943). "On Dirac's New Method of Field Quantization". Reviews of Modern Physics. 15 (3): 175–207. Bibcode:1943RvMP...15..175P. doi:10.1103/revmodphys.15.175.

Lee, T.D.; Wick, G.C. (February 1969). "Negative metric and the unitarity of the S-matrix". Nuclear Physics B. 9 (2): 209–243. Bibcode:1969NuPhB...9..209L. doi:10.1016/0550-3213(69)90098-4.

Taussky, Olga; Parker, W. (1960). "Problem 4846". The American Mathematical Monthly. 67 (2): 192–193. doi:10.2307/2308556.

Drazin, Michael (1962). "Criteria for the reality of matrix eigenvalues". Mathematische Zeitschrift. 78 (1): 449–452. doi:10.1007/BF01195188.

Scolarici, G. (2003-10-01). "On the pseudo-Hermitian nondiagonalizable Hamiltonians". Journal of Mathematical Physics. 44 (10): 4450–4459. arXiv:quant-ph/0211161. doi:10.1063/1.1609031.

Bender, Carl (April 2016). "PT symmetry in quantum physics: from mathematical curiosity to optical experiments". Europhysics News. 47, 2 (2): 17–20. Bibcode:2016ENews..47b..17B. doi:10.1051/epn/2016201.

Makris, K. G.; El-Ganainy, R.; Christodoulides, D. N.; Musslimani, Z. H. (2008-03-13). "Beam Dynamics in $\mathcal{P}\mathcal{T}$ Symmetric Optical Lattices". Physical Review Letters. 100 (10): 103904. Bibcode:2008PhRvL.100j3904M. doi:10.1103/PhysRevLett.100.103904. PMID 18352189.

Guo, A.; Salamo, G. J.; Duchesne, D.; Morandotti, R.; Volatier-Ravat, M.; Aimez, V.; Siviloglou, G. A.; Christodoulides, D. N. (2009-08-27). "Observation of $\mathcal{P}\mathcal{T}$-Symmetry Breaking in Complex Optical Potentials". Physical Review Letters. 103 (9): 093902. Bibcode:2009PhRvL.103i3902G. doi:10.1103/PhysRevLett.103.093902. PMID 19792798.

Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy; Christodoulides, Demetrios N.; Segev, Mordechai; Kip, Detlef (March 2010). "Observation of parity–time symmetry in optics". Nature Physics. 6 (3): 192–195. Bibcode:2010NatPh...6..192R. doi:10.1038/nphys1515. ISSN 1745-2481.

Miller, Johanna L. (October 2017). "Exceptional points make for exceptional sensors". Physics Today. 10, 23 (10): 23–26. Bibcode:2017PhT....70j..23M. doi:10.1063/PT.3.3717.

harvard.edu

ui.adsabs.harvard.edu

Pauli, W. (1 July 1943). "On Dirac's New Method of Field Quantization". Reviews of Modern Physics. 15 (3): 175–207. Bibcode:1943RvMP...15..175P. doi:10.1103/revmodphys.15.175.

Lee, T.D.; Wick, G.C. (February 1969). "Negative metric and the unitarity of the S-matrix". Nuclear Physics B. 9 (2): 209–243. Bibcode:1969NuPhB...9..209L. doi:10.1016/0550-3213(69)90098-4.

Miller, Johanna L. (October 2017). "Exceptional points make for exceptional sensors". Physics Today. 10, 23 (10): 23–26. Bibcode:2017PhT....70j..23M. doi:10.1063/PT.3.3717.

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Non-Hermitian quantum mechanics (English Wikipedia)

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