dorsal/arxiv
View SchemaGeneralization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter
| Authors | Y. C. Huang, F. C. Ma, N. Zhang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506078 |
| URL | https://arxiv.org/abs/quant-ph/0506078 |
| DOI | 10.1142/S0217984904007955 |
| Journal | Modern Physics Letters, B18 (2004) 1367-1377 |
Abstract
Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, the general classical statistical uncertain relation is generally generalized to quantum uncertainty principle, the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among uncertainty principle, singularity and condensed matter stability, discover that quantum uncertainty principle prevents from the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics, and we discover that only saying that the classical limit of quantum mechanics is classical mechanics is mistake. As application examples, we deduce both Shrodinger equation and state superposition principle, deduce that there exist decoherent factor from a general mathematical representation of state superposition principle, and the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.
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"abstract": "Classical statistical average values are generally generalized to average\nvalues of quantum mechanics, it is discovered that quantum mechanics is direct\ngeneralization of classical statistical mechanics, and we generally deduce both\na new general continuous eigenvalue equation and a general discrete eigenvalue\nequation in quantum mechanics, and discover that a eigenvalue of quantum\nmechanics is just an extreme value of an operator in possibility distribution,\nthe eigenvalue f is just classical observable quantity. A general classical\nstatistical uncertain relation is further given, the general classical\nstatistical uncertain relation is generally generalized to quantum uncertainty\nprinciple, the two lost conditions in classical uncertain relation and quantum\nuncertainty principle, respectively, are found. We generally expound the\nrelations among uncertainty principle, singularity and condensed matter\nstability, discover that quantum uncertainty principle prevents from the\nappearance of singularity of the electromagnetic potential between nucleus and\nelectrons, and give the failure conditions of quantum uncertainty principle.\nFinally, we discover that the classical limit of quantum mechanics is classical\nstatistical mechanics, the classical statistical mechanics may further be\ndegenerated to classical mechanics, and we discover that only saying that the\nclassical limit of quantum mechanics is classical mechanics is mistake. As\napplication examples, we deduce both Shrodinger equation and state\nsuperposition principle, deduce that there exist decoherent factor from a\ngeneral mathematical representation of state superposition principle, and the\nconsistent difficulty between statistical interpretation of quantum mechanics\nand determinant property of classical mechanics is overcome.",
"arxiv_id": "quant-ph/0506078",
"authors": [
"Y. C. Huang",
"F. C. Ma",
"N. Zhang"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217984904007955",
"journal_ref": "Modern Physics Letters, B18 (2004) 1367-1377",
"title": "Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter",
"url": "https://arxiv.org/abs/quant-ph/0506078"
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