Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect

DOI10.1063/1.2903752zbMath1152.81348OpenAlexW2059360709MaRDI QIDQ5504860

Y. Saadi, Y. Bouguerra, A. Bounames, Mustapha Maamache

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2903752

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

Irreducible tensor form for the spin-photon coupling

Cites Work

• Time-dependent 2D harmonic oscillator in presence of the Aharanov-Bohm effect
• Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field.
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov-Bohm effect
• Biot-Savart-like law in electrostatics
• Ermakov systems, exact solution, and geometrical angles and phases
• Significance of Electromagnetic Potentials in the Quantum Theory
• Supersymmetry of a nonstationary Pauli equation
• Unitary transformation approach to the cyclic evolution of SU(1, 1) and SU(2) time-dependent systems and geometrical phases
• Evolution of Gaussian wave packet and nonadiabatic geometrical phase for the time-dependent singular oscillator
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• Harmonic oscillator interacting with conical singularities
• New forms of wavefunctions for the isotropic harmonic oscillator in a time-dependent magnetic field
• ENERGY SPECTRUM OF THE GROUND STATE OF A TWO-DIMENSIONAL RELATIVISTIC HYDROGEN ATOM IN THE PRESENCE OF A CONSTANT MAGNETIC FIELD
• Topological Aharonov-Bohm effect in a two-dimensional harmonic oscillator
• The quantum damped harmonic oscillator

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