dorsal/arxiv
View SchemaPhysical model of Schrodinger electron. Feynman convenient way in mathematical description of its quantum behaviour
| Authors | Josiph Mladenov Rangelov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001078 |
| URL | https://arxiv.org/abs/quant-ph/0001078 |
Abstract
The physical model of a nonrelativistic quantized Schrodinger's electron (SE) is offered. The behaviour of the SE well spread elementary electric charge had been understood by means of two independent and different in a frequency and size motions. The description of this resultant motion may be done by substitution of the classical Wiener continuous integral with the quantized Feynmam continuous integral. There are possibility to show by means of the existent not only formal but substantial analogy between the quadratic differential wave equation in partial derivatives of Schrodinger and quadratic differential particle equation in partial derivatives of Hamilton-Jacoby that the addition of a kinetic energy of the stochastic harmonic oscillation of some quantized micro particles to the kinetic energy of classical motion of the same micro particles formally determines their wave behaviour.It turns out the stochastic motion of the quantized micro particles powerfully to break up the smooth thin line of the classical motion of the same micro particle in many broad cylindrically spread path. The SE participate in stochastically roughly determined circumferences within different flats and with different radii, with centres which are successively arranjed over short and very disorderly orientated lines. Therefore the quantized motion of some micro particle cannot be descripted by smooth thin well contured (focused) line, describing the classical motion of the macro particle.
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"abstract": "The physical model of a nonrelativistic quantized Schrodinger\u0027s electron (SE)\nis offered. The behaviour of the SE well spread elementary electric charge had\nbeen understood by means of two independent and different in a frequency and\nsize motions. The description of this resultant motion may be done by\nsubstitution of the classical Wiener continuous integral with the quantized\nFeynmam continuous integral. There are possibility to show by means of the\nexistent not only formal but substantial analogy between the quadratic\ndifferential wave equation in partial derivatives of Schrodinger and quadratic\ndifferential particle equation in partial derivatives of Hamilton-Jacoby that\nthe addition of a kinetic energy of the stochastic harmonic oscillation of some\nquantized micro particles to the kinetic energy of classical motion of the same\nmicro particles formally determines their wave behaviour.It turns out the\nstochastic motion of the quantized micro particles powerfully to break up the\nsmooth thin line of the classical motion of the same micro particle in many\nbroad cylindrically spread path. The SE participate in stochastically roughly\ndetermined circumferences within different flats and with different radii, with\ncentres which are successively arranjed over short and very disorderly\norientated lines. Therefore the quantized motion of some micro particle cannot\nbe descripted by smooth thin well contured (focused) line, describing the\nclassical motion of the macro particle.",
"arxiv_id": "quant-ph/0001078",
"authors": [
"Josiph Mladenov Rangelov"
],
"categories": [
"quant-ph"
],
"title": "Physical model of Schrodinger electron. Feynman convenient way in mathematical description of its quantum behaviour",
"url": "https://arxiv.org/abs/quant-ph/0001078"
},
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