The pseudo Hermitian invariant operator and time-dependent non-Hermitian Hamiltonian exhibiting a SU(1,1) and SU(2) dynamical symmetry
DOI10.1063/1.5041718zbMath1394.81122OpenAlexW2861702156MaRDI QIDQ4583091
Mustapha Maamache, N. Mana, W. Koussa, Oum Kaltoum Djeghiour
Publication date: 27 August 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5041718
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (6)
Cites Work
- Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
- Three-Hilbert-space formulation of quantum mechanics
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians
- Non-Hermitian interaction representation and its use in relativistic quantum mechanics
- Time-dependent $\mathcal {P}$$\mathcal {T}$-symmetric quantum mechanics
- Non-Selfadjoint Operators in Quantum Physics
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- General Theory of Spin-Wave Interactions
- Choice of a metric for the non-Hermitian oscillator
- Generalized Swanson models and their solutions
- The recursion method of a linear operator inversion. II
- The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator
- Berry phase of a resonant state
- On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
- Transition elements for a non-Hermitian quadratic Hamiltonian
- Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator
- Exact Quantization Conditions. II
- Time evolution of non-Hermitian Hamiltonian systems
- Pseudo-Hermiticity and some consequences of a generalized quantum condition
- A non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations
- On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field
- Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians
This page was built for publication: The pseudo Hermitian invariant operator and time-dependent non-Hermitian Hamiltonian exhibiting a SU(1,1) and SU(2) dynamical symmetry