Test of Gauge Invariance: Charged Harmonic Oscillator in an Electromagnetic Field
Description:
The gauge-invariant formulation of quantum mechanics is compared to the conventional approach for the case of a one-dimensional charged harmonic oscillator in an electromagnetic field in the electric dipole approximation. The probability of finding the oscillator in the ground state or excited states as a function of time is calculated, and the two approaches give different results. On the basis of gauge invariance, the gauge-invariant formulation of quantum mechanics gives the correct probabil…
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Date:
August 1980
Creator:
Wen, Chang-tai
Partner:
UNT Libraries