Class of invariants for the two-dimensional time-dependent Landau problem and harmonic oscillator in a magnetic field

DOI10.1063/1.3653486zbMath1272.81226arXiv1103.4314OpenAlexW3101126361MaRDI QIDQ2851751

Gaetano Fiore, Laure Gouba

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4314

Mathematics Subject Classification ID

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) Many-body theory; quantum Hall effect (81V70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ Constrains of charge-to-mass ratios on noncommutative phase space ⋮ On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field ⋮ Dirac's method for the two-dimensional damped harmonic oscillator in the extended phase space ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Second quantized scalar QED in homogeneous time-dependent electromagnetic fields ⋮ Landau electron in a rotating environment: a general factorization of time evolution ⋮ Coherent States and Their Generalizations for a Charged Particle in a Magnetic Field

Cites Work

• Unnamed Item
• Nonlinearity from linearity: the Ermakov-Pinney equation revisited
• Landau problem with a general time-dependent electric field
• Lewis-Riesenfeld approach to the solutions of the Schrödinger equation in the presence of a time-dependent linear potential
• On second quantization on noncommutative spaces with twisted symmetries
• Quantal phase factors accompanying adiabatic changes
• Formulation, interpretation and application of non-commutative quantum mechanics
• On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Spin in a general time-varying magnetic field: generalization of the adiabatic factorization of time evolution
• Quantized Space-Time
• Noncommutative field theory

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