Published September 2005
| Version v1
Journal article
Properties of a pseudo-Hermitian Hamiltonian for harmonic oscillator decorated with Dirac delta interactions
Creators
- 1. Bogazici University-TUBITAK, Feza Gursey Institute, Kandilli, Istanbul (Turkey)
- 2. Department of Physics, Bogazici University, Bebek, Istanbul (Turkey)
Description
We have investigated bound state solutions of the Schroedinger equation for one-dimensional harmonic oscillator potential together with even number of Dirac delta functions. These point interactions are located at symmetric points x = xi and x = -xi (i = 1, 2, ..., N) and they have complex conjugate strengths σ(tilde)i and σ(tilde)i*, respectively.We present explicit forms of eigenfunctions and an algebraic eigenvalue equation and numerical solutions for this PT-symmetric Hamiltonian. (author)
Additional details
Publishing Information
- Journal Title
- Czechoslovak Journal of Physics
- Journal Volume
- 55
- Journal Issue
- 9
- Journal Page Range
- p. 1081-1184
- ISSN
- 0011-4626
Conference
- Title
- 3. international workshop 'Pseudo-Hermitian Hamiltonians in quantum physics'
- Dates
- 20-22 Jun 2005
- Place
- Istanbul (Turkey)
INIS
- Country of Publication
- Czech Republic
- Country of Input or Organization
- Czech Republic
- INIS RN
- 37000059
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- DELTA FUNCTION; HARMONIC OSCILLATORS; HARMONIC POTENTIAL; P INVARIANCE; SCHROEDINGER EQUATION; T INVARIANCE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; NUCLEAR POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; WAVE EQUATIONS
Optional Information
- Contract/Grant/Project number
- Award ED-TUBA-GEBIP/2001-1-4; Grant 04HB301
- Notes
- 18 refs.