Published 1981
| Version v1
Report
Open
Uniform product formulae with application to the Feynman-Nelson integral for open systems
Creators
- 1. Karlova Univ., Prague (Czechoslovakia)
- 2. Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics
Description
The product formula for perturbations of propagators by Faris is generalized: we show that one can use arbitrary partitions of a given interval and perform the limit uniformly with respect to the partition norm. The results are applied to express solutions of the Schroedinger equation, in particular for some complex and time-dependent potentials, by means of Nelson-type path integrals
Availability note (English)
MF available from INIS under the Report Number.Files
13654463.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 7 p.
- Report number
- JINR-E--2-81-186
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 13654463
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DISSIPATION FACTOR; FEYNMAN PATH INTEGRAL; HARMONIC OSCILLATORS; HILBERT SPACE; MATHEMATICAL OPERATORS; PROPAGATOR; QUANTUM MECHANICS; SCHROEDINGER EQUATION
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRALS; MATHEMATICAL SPACE; MECHANICS; SPACE
Optional Information
- Notes
- 12 refs.