On the algebraic approach to the time-dependent quadratic Hamiltonian

DOI10.1088/1751-8113/43/38/385204zbMath1198.81105OpenAlexW2015876762MaRDI QIDQ3161096

Alejandro Palma, Lourdes Sandoval, I. Urdaneta

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1088/1751-8113/43/38/385204

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Operator algebra methods applied to problems in quantum theory (81R15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields ⋮ Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

Cites Work

• SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system
• Coherent and squeezed states for light in homogeneous conducting linear media by an invariant operator method
• Thermal state for the capacitance coupled mesoscopic circuit with a power source
• ANNIHILATION AND CREATION OPERATORS FOR THE CALDIROLA–KANAI HAMILTONIAN WITH COMPLEX FRICTION COEFFICIENT
• Unitary relations in time-dependent harmonic oscillators
• Lie Algebraic Solution of Linear Differential Equations
• A THEOREM ON CYCLIC HARMONIC OSCILLATORS
• Quantum Systems Connected by a Time-Dependent Canonical Transformation

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