Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

DOI10.1063/1.4947296zbMath1335.81069arXiv1601.05359OpenAlexW2256535414WikidataQ114104085 ScholiaQ114104085MaRDI QIDQ2804966

J. L. Cardoso, V. G. Ibarra-Sierra, J. C. Sandoval-Santana, Alejandro Kunold

Publication date: 9 May 2016

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

Full work available at URL: https://arxiv.org/abs/1601.05359

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Exact time-evolution of a generalized two-dimensional quantum parametric oscillator in the presence of time-variable magnetic and electric fields ⋮ Algebraic structure of Dirac–Pauli equation with account to AMM of neutron in the presence of magnetic field with cylindrical symmetry ⋮ The effective Hamiltonian and propagator of a parabolic confined dissipative electron under a perpendicular magnetic field ⋮ Method for Finding the Exact Effective Hamiltonian of Time‐Driven Quantum Systems ⋮ Quadratic time dependent Hamiltonians and separation of variables

Uses Software

• Mathematica

Cites Work

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