Abstract
p-Mechanics is a consistent physical theory which describes both quantum and classical mechanics simultaneously (V. V. Kisil, p-Mechanics as a physical theory. An Introduction, E-print:arXiv:quant-ph/0212101, 2002; International Journal of Theoretical Physics 41(1), 63–77, 2002). We continue the development of p-mechanics by introducing the concept of states. The set of coherent states we introduce allows us to evaluate classical observables at any point of phase space and simultaneously to evaluate quantum probability amplitudes. The example of the forced harmonic oscillator is used to demonstrate these concepts.
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Brodlie, A. Classical and Quantum Coherent States. International Journal of Theoretical Physics 42, 1707–1731 (2003). https://doi.org/10.1023/A:1026175103658
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DOI: https://doi.org/10.1023/A:1026175103658