Complex analytical mechanics, complex nonstandard stochastic process and quantum mechanics (Q2756235)
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scientific article; zbMATH DE number 1672771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex analytical mechanics, complex nonstandard stochastic process and quantum mechanics |
scientific article; zbMATH DE number 1672771 |
Statements
2 September 2002
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stochastic mechanics
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Hamilton-Jacobi equation
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least action principle
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Schrödinger equation
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Complex analytical mechanics, complex nonstandard stochastic process and quantum mechanics (English)
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English abstract: We introduce a complex and nonstandard stochastic process, nondiffusive and nonlocal, and therefore very different from classical stochastic processes. This process corresponds to trajectories in a new type of fiber space. Then we define on this fiber space a complex analytical mechanics analogous to classical mechanics, but based on a new least action principle and on the complex minplus analysis introduced by the author [ibid. 329, No. 9, 783-788 (1999; Zbl 0941.49012)]. This approach can give new models in mechanics and in particular in quantum mechanics.
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