On stochastic Schrödinger equation as a Dirac boundary-value problem, and an inductive stochastic limit (Q2708574)
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scientific article
| Language | Label | Description | Also known as |
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| English | On stochastic Schrödinger equation as a Dirac boundary-value problem, and an inductive stochastic limit |
scientific article |
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16 December 2001
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single-jump quantum stochastic unitary evolution
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Dirac boundary value problem
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exactly solvable model
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Schrödinger boundary value problem
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relativistic Hamiltonian
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inductive ultrarelativistic limit
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microscopic time reversibility
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On stochastic Schrödinger equation as a Dirac boundary-value problem, and an inductive stochastic limit (English)
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The author proves that a single-jump quantum stochastic unitary evolution is equivalent to a Dirac boundary value problem on the half line in one extra dimension. It is shown that this exactly solvable model can be obtained from a Schrödinger boundary value problem for a positive relativistic Hamiltonian in the half-line as the inductive ultrarelativistic limit, corresponding to the input flow of Dirac particles with asymptotically infinite momenta. Thus the problem of stochastic approximation is reduced to the quantum-mechanical boundary value problem in the extra dimension. The question of microscopic time reversibility is also studied for this paper.NEWLINENEWLINEFor the entire collection see [Zbl 0957.00037].
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