Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles

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...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Romeo, Daisy A, Nable, Job A
التنسيق: text
منشور في: Archīum Ateneo 2022
الموضوعات:
الوصول للمادة أونلاين:https://archium.ateneo.edu/mathematics-faculty-pubs/226
https://doi.org/10.1063/5.0092906
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الملخص: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.