dorsal/arxiv
View Schema``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics
| Authors | Olga Man'ko, V. I. Man'ko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9903002 |
| URL | https://arxiv.org/abs/quant-ph/9903002 |
Abstract
In the probability representation of the standard quantum mechanics, the explicit expression (and its quasiclassical van-Fleck approximation) for the ``classical'' propagator (transition probability distribution), which completely describes the quantum system's evolution, is found in terms of the quantum propagator. An expression for the ``classical'' propagator in terms of path integral is derived. Examples of free motion and harmonic oscillator are considered. The evolution equation in the Bargmann representation of the optical tomography approach is obtained.
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"abstract": "In the probability representation of the standard quantum mechanics, the\nexplicit expression (and its quasiclassical van-Fleck approximation) for the\n``classical\u0027\u0027 propagator (transition probability distribution), which\ncompletely describes the quantum system\u0027s evolution, is found in terms of the\nquantum propagator. An expression for the ``classical\u0027\u0027 propagator in terms of\npath integral is derived. Examples of free motion and harmonic oscillator are\nconsidered. The evolution equation in the Bargmann representation of the\noptical tomography approach is obtained.",
"arxiv_id": "quant-ph/9903002",
"authors": [
"Olga Man\u0027ko",
"V. I. Man\u0027ko"
],
"categories": [
"quant-ph"
],
"title": "``Classical\u0027\u0027 Propagator and Path Integral in the Probability Representation of Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9903002"
},
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