Quantum Mechanical Description and Representations

A.G. Sitenko

Zhiyong Wang, Cai-Dong Xiong, Bing He

In this paper, applying the spinor representation of the electromagnetic field, we present a quantum-mechanical description of waveguides. As an example of application, a potential qubit generated via photon tunneling is discussed.

John C. Inkson

Zhiyong Wang, Xiong Cai-Dong, Bing He

Applying the spinor representation of the electromagnetic field, this paper present a quantum-mechanical description of waveguides. As an example of application, a potential qubit generated by photon tunnelling is discussed.

J. Žák

A general approach to the description of an angle and phase is given on the basis of the $\mathrm{kq}$ representation. It is shown that an angular coordinate in quantum mechanics has to be treated as a quasicoordinate in order to avoid inconsistencies. The $\mathrm{kq}$ representation leads to a consistent definition of the angular-momentum-angle degree of freedom. Using the correspondence between classical and quantum mechanics for the phase of a harmonic oscillator, operators are defined that form a new quantum-mechanical representation. This representation clarifies the concept of the phase and sheds light on the general understanding of rotations in quantum mechanics.

Richard Healey