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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| Format: | text |
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Archīum Ateneo
2022
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| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/226 https://doi.org/10.1063/5.0092906 |
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| Summary: | 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. |
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