Published August 8, 2003
| Version v1
Journal article
Non-Hermitian SUSY hydrogen-like Hamiltonians with real spectra
Creators
- 1. Departamento de Fisica, CINVESTAV-IPN, AP 14-740, 07000 Mexico DF (Mexico)
Description
It is shown that the radial part of the hydrogen Hamiltonian factorizes as the product of two not mutually adjoint first-order differential operators plus a complex constant ε. The 1-SUSY approach is used to construct non-Hermitian operators with hydrogen spectra. Other non-Hermitian Hamiltonians are shown to admit an extra 'complex energy' at ε. New self-adjoint hydrogen-like Hamiltonians are also derived by using a 2-SUSY transformation with complex conjugate pairs ε, ε-bar
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/8497/a33111.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/8497/a33111.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/31/311;
- PII
- S0305-4470(03)60247-7;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 31
- Journal Page Range
- p. 8497-8506
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000317
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; HAMILTONIANS; HYDROGEN; QUANTUM OPERATORS; SUPERSYMMETRY; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SYMMETRY