Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
Document Type
Conference Proceeding
Publication Date
2022
Abstract
This work presents coherent state quantization f↔f(x)|XX|dμ(X) applied to the classical time of arrival functions of the form T(q,p)=-μqp, expressed in different coordinate systems, corresponding to phase spaces of the p confined and free particle, respectively. The most important ingredient in this technique is the coherent state. Two ways of constructing coherent states will be adopted:via unitary group representations and via superposition method, applied to time of arrival function of one-dimensional confined and free particles.
Recommended Citation
Romeo, Daisy A. and Nable, Job A., (2022). Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/226