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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 237–248
DOI: https://doi.org/10.4213/tmf5976 (Mi tmf5976) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Additional constraints on quasi-exactly solvable systems

S. M. Klishevich

Institute for High Energy Physics
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DOI: https://doi.org/10.4213/tmf5976
Abstract: We consider constraints on two-dimensional quantum mechanical systems in domains with boundaries. The constraints result from the Hermiticity requirement for the corresponding Hamiltonians. We construct new two-dimensional families of formally exactly solvable systems. Taking the mentioned constraints into account, we show that the systems are in fact quasi-exactly solvable at best. Nevertheless, in the context of pseudo-Hermitian Hamiltonians, some of the constructed families are exactly solvable.
Keywords: quasi-exactly solvable system, pseudo-Hermitian Hamiltonian.
Received: 01.05.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 203–212
DOI: https://doi.org/10.1007/s11232-007-0015-2
Bibliographic databases:
Language: Russian
Citation: S. M. Klishevich, “Additional constraints on quasi-exactly solvable systems”, TMF, 150:2 (2007), 237–248; Theoret. and Math. Phys., 150:2 (2007), 203–212
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf5976
  • https://doi.org/10.4213/tmf5976
  • https://www.mathnet.ru/eng/tmf/v150/i2/p237
    • This publication is cited in the following 1 articles:
    1. Liyan Liu, Qinghai Hao, “Planar hydrogen-like atom in inhomogeneous magnetic fields: Exactly or quasi-exactly solvable models”, Theoret. and Math. Phys., 183:2 (2015), 730–736  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :167
    References:40
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