ua nt - p h / 06 05 11 9 v 2 2 2 Fe b 20 07 Coherent state quantization and phase operator
نویسنده
چکیده
By using a coherent state quantization à la Klauder-Berezin, phase operators are constructed in finite Hilbert subspaces of the Hilbert space of Fourier series. The study of infinite dimensional limits of mean values of some observables leads towards a simpler convergence to the canonical commutation relations.
منابع مشابه
ua nt - p h / 06 05 11 9 v 1 1 3 M ay 2 00 6 Coherent state quantization and phase operator
By using a coherent state quantizationà la Klauder-Berezin, phase operators are constructed in finite Hilbert subspaces of the Hilbert space of Fourier series. The study of infinite dimensional limits of mean values of some observables phase leads towards a simpler convergence to the canonical commutation relations.
متن کاملua nt - p h / 05 06 17 9 v 1 2 1 Ju n 20 05 Velocity quantization approach of the one - dimensional dissipative harmonic oscillator
Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in the velocity, the problem to get the Hamiltonian for this system is pointed out, and the quantization up to second order in the perturbation approach is used to determine the modification on the eigenvalues when dissipation is taken into consideration. This quantization is realized using the consta...
متن کاملua nt - p h / 05 07 22 2 v 1 2 2 Ju l 2 00 5 Path Integrals , and Classical and Quantum Constraints ∗
Systems with constraints pose problems when they are quantized. Moreover, the Dirac procedure of quantization prior to reduction is preferred. The projection operator method of quantization, which can be most conveniently described by coherent state path integrals, enables one to directly impose a regularized form of the quantum constraints. This procedure also overcomes conventional difficulti...
متن کاملua nt - p h / 06 11 11 6 v 2 1 0 Ja n 20 07 Quantum mechanics on a circle : Husimi phase space distributions and semiclassical coherent state propagators
We discuss some basic tools for an analysis of one-dimensional quantum systems defined on a cyclic coordinate space. The basic features of the generalized coherent states, the complexifier coherent states are reviewed. These states are then used to define the corresponding (quasi)densities in phase space. The properties of these generalized Husimi distributions are discussed, in particular thei...
متن کاملua nt - p h / 96 07 01 9 v 1 2 2 Ju l 1 99 6 Coherent State Path Integrals for Systems with Constraints ∗
We outline the principal results of a recent examination of the quantization of systems with firstand second-class constraints from the point of view of coherent-state phase-space path integration. Two examples serve to illustrate the procedures.
متن کامل