Brownian local time and quantum mechanics (Q1093257)
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scientific article; zbMATH DE number 4022315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Brownian local time and quantum mechanics |
scientific article; zbMATH DE number 4022315 |
Statements
Brownian local time and quantum mechanics (English)
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1986
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Let V be any (sufficiently regular) attractive potential in one and two dimensions. We make rigorous an argument of M. Kac, relating the recurrence of the Brownian motion to the existence of at least one bound state for the quantum Hamiltonian \(H=-(\Delta /2)+V\).
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local time
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bound state
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recurrence of the Brownian motion
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quantum Hamiltonian
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