Quantum Dynamics and Non-Inertial Frames of Reference. III: Charged Particle in Time-Dependent Uniform Electromagnetic Field | Zendy

S. Takagi | Zendy

Open Access

Quantum Dynamics and Non-Inertial Frames of Reference. III: Charged Particle in Time-Dependent Uniform Electromagnetic Field

Author(s) -

S. Takagi

Publication year - 1991

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/86.4.783

Subject(s) - physics , inertial frame of reference , electromagnetic field , dynamics (music) , classical mechanics , quantum dynamics , quantum electrodynamics , particle (ecology) , quantum , field (mathematics) , relativistic dynamics , charged particle , quantum particle , quantum mechanics , ion , oceanography , mathematics , acoustics , pure mathematics , geology

By successive applications of time-dependent rotation, translation and dilatation, it is shown that' a charged time·dependent harmonic oscillator in a uniform time-dependent electromagnetic field is equivalent to a free particle. This equivalence is employed to present a simple derivation of the Feynman kernel as well as to obtain a concrete picture of the time evolution of a generic wave packet. A compact formula for an evolving anisotropic Gaussian packet is also derived. A special case of this formula gives a squeezed coherent state for a harmonic oscillator whose frequency is an arbitrary function of time. Finally we discuss an Aharonov·Bohm-Berry·like phase associated with a wave packet whose center traces a closed circuit.

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