Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry
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| Creator |
Shin, K.C.
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| Description |
We study the eigenvalue problem −u''+V(z)u=λu in the complex plane with the boundary condition that u(z) decays to zero as z tends to infinity along the two rays arg z=−π/2± 2π/(m+2), where V(z)=−(iz)m−P(iz) for complex-valued polynomials P of degree at most m−1≥2. We provide an asymptotic formula for eigenvalues and a necessary and sufficient condition for the anharmonic oscillator to have infinitely many real eigenvalues.
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| Date |
2019-02-07T19:14:13Z
2019-02-07T19:14:13Z 2010 |
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| Type |
Article
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| Identifier |
Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry / K.C. Shin // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 13 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34L20; 34L40 http://dspace.nbuv.gov.ua/handle/123456789/146153 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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