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

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

We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin 1 ∕ 2 particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We fin...

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Veröffentlicht in:Journal of mathematical physics 2008-04, Vol.49 (4), p.042107-042107-12
Hauptverfasser: Bouguerra, Y., Bounames, A., Maamache, M., Saadi, Y.
Format: Artikel
Sprache:eng
Schlagworte:
AHARONOV-BOHM EFFECT
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EQUATIONS
Exact sciences and technology
HARMONIC OSCILLATORS
MASS
Mathematical methods in physics
Mathematical problems
MATHEMATICAL SOLUTIONS
Mathematics
Physics
Sciences and techniques of general use
SPIN
Theorems
Theory
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
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Zusammenfassung:We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin 1 ∕ 2 particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We find that the irregular solution at the origin as well as the regular one contributes to the phase of the wavefunction.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2903752