Properties of a pseudo-Hermitian Hamiltonian for harmonic oscillator decorated with Dirac delta interactions
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Publication:5000481
DOI10.1007/S10582-005-0110-2zbMath1465.81016OpenAlexW2066803663MaRDI QIDQ5000481
Publication date: 14 July 2021
Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10582-005-0110-2
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)
Related Items (4)
On the spectrum of the Schrödinger Hamiltonian of the one-dimensional harmonic oscillator perturbed by two identical attractive point interactions ⋮ The spectrum of a harmonic oscillator operator perturbed by point interactions ⋮ Non-real eigenvalues of the harmonic oscillator perturbed by an odd, two-point interaction ⋮ Bound state solutions of the Schrödinger equation for a \(\mathcal{PT}\)-symmetric potential with Dirac delta functions
Cites Work
- Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum.
- Two-dimensional electron gas in a uniform magnetic field in the presence of a -impurity
- ExactPT-symmetry is equivalent to Hermiticity
- Solvable simulation of a double-well problem in -symmetric quantum mechanics
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Spectral properties of a short-range impurity in a quantum dot
- Bound states ofn-dimensional harmonic oscillator decorated with Dirac delta functions
- Solvability and -symmetry in a double-well model with point interactions
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