dorsal/arxiv
View SchemaThe concept of Existence and the derivation of a Quantum Force
| Authors | C. G. S. Costa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402200 |
| URL | https://arxiv.org/abs/quant-ph/0402200 |
Abstract
We define a new dynamical variable, the relative existence e, in terms of space and time. Taking it as a generalized positional coordinate, we show that for conservative systems the canonically conjugated momentum is identified as the classical force. Applying Wilson-Sommerfeld-Bohr's quantum conditions for a conditionally periodic motion, we derive an expression for the quantum force, F = hbar k f_e, where k is the wave number and f_e is the characteristic frequency of the system. Applying Dirac's method to the Poisson Brackets involving existence and force, we obtain the uncertainty relation Delta e Delta F >= hbar/2. The force quantization may have already been observed in stimulated bichromatic optical force experiments, used to deflect, decelerate and manipulate laser-cooled atomic beams.
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"abstract": "We define a new dynamical variable, the relative existence e, in terms of\nspace and time. Taking it as a generalized positional coordinate, we show that\nfor conservative systems the canonically conjugated momentum is identified as\nthe classical force. Applying Wilson-Sommerfeld-Bohr\u0027s quantum conditions for a\nconditionally periodic motion, we derive an expression for the quantum force, F\n= hbar k f_e, where k is the wave number and f_e is the characteristic\nfrequency of the system. Applying Dirac\u0027s method to the Poisson Brackets\ninvolving existence and force, we obtain the uncertainty relation Delta e Delta\nF \u003e= hbar/2. The force quantization may have already been observed in\nstimulated bichromatic optical force experiments, used to deflect, decelerate\nand manipulate laser-cooled atomic beams.",
"arxiv_id": "quant-ph/0402200",
"authors": [
"C. G. S. Costa"
],
"categories": [
"quant-ph"
],
"title": "The concept of Existence and the derivation of a Quantum Force",
"url": "https://arxiv.org/abs/quant-ph/0402200"
},
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