Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''

Abstract

In the preceding Comment (quant-ph/0209032) Trifonov disputes our recently proposed uncertainty relations for a quantum particle on a circle. He states that (i) the quantity ${\Delta }^2(\hat{\varphi })$ introduced by us representing the uncertainty of the angle is not a proper measure of the position uncertainty and therefore the proposed inequalities can hardly be qualified as a relevant uncertainty relations on a circle; and that (ii) the most suitable uncertainty relations on a circle are those based on the Gram-Robertson matrix. It is shown by examples that both points are erroneous.

5 pages

References in corpus (8)

• Coherent states for a quantum particle on a circle
• Coherent states on the circle
• Coherent states on spheres
• Coherent states for a particle on a sphere
• On the uncertainty relations and squeezed states for the quantum mechanics on a circle
• State Extended Uncertainty Relations
• Quantum Jumps on a Circle
• Comment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle"

Cited by in corpus (7)

• Quantization of the canonically conjugate pair angle and orbital angular momentum
• Coherent states of a charged particle in a uniform magnetic field
• Action-angle coherent states for quantum systems with cylindric phase space
• Quantum localisation on the circle
• Three paths toward the quantum angle operator
• On the position uncertainty measure on the circle
• A possible general approach regarding the conformability of angular observables with mathematical rules of quantum mechanics