Quantum Jumps on a Circle

Abstract

It is demonstrated that in contrast to the well-known case with a quantum particle moving freely in a real line, the wave packets corresponding to the coherent states for a free quantum particle on a circle do not spread but develop periodically in time. The discontinuous changes during the course of time in the phase representing the position of a particle can be interpreted as the quantum jumps on a circle.

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References in corpus (4)

• Spectroscopy of nanoscopic semiconductor rings
• Coherent states for a quantum particle on a circle
• Coherent states on the circle
• Coherent states for a particle on a sphere

Cited by in corpus (11)

• Quantization of the canonically conjugate pair angle and orbital angular momentum
• Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects
• Action-angle coherent states for quantum systems with cylindric phase space
• Quantum localisation on the circle
• Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''
• From the Weyl quantization of a particle on the circle to number-phase Wigner functions
• Three paths toward the quantum angle operator
• Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators
• Coherent states for the q-deformed quantum mechanics on a circle
• A possible general approach regarding the conformability of angular observables with mathematical rules of quantum mechanics
• Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors