A possible general approach regarding the conformability of angular observables with mathematical rules of quantum mechanics

Abstract

The conformability of angular observales (angular momentum and azimuthal angle) with the mathematical rules of quantum mechanics is a question which still rouses debates. It is valued negatively within the existing approaches which are restricted by two amendable presumptions. If the respective presumptions are removed one can obtain a general approach in which the mentioned question is valued positively.

15 pages LaTeX

References in corpus (11)

• Quantization of the canonically conjugate pair angle and orbital angular momentum
• Quantum Phase and Quantum Phase Operators: Some Physics and Some History
• On the uncertainty relations and squeezed states for the quantum mechanics on a circle
• Are Number and Phase Complementary Observables?
• The complementarity of quantum observables: theory and experiment
• Quantum Jumps on a Circle
• Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''
• On the position uncertainty measure on the circle
• Phase of the quantum oscillator
• On the uncertainty relations and quantum measurements: conventionalities, shortcomings, reconsiderations
• On the number-phase problem

Cited by in corpus (2)

• Derivation of generalized Einstein's equations of gravitation in some non-inertial reference frames based on the theory of vacuum mechanics
• A survey on uncertainty relations and quantum measurements