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Coherent states versus De Broglie-Wavelets

Technical Report:

Abstract

There are two types of nonspreading localized wave forms representing a stable, individual, indivisible, single quantum particle with interference properties endowed with classical (hidden) parameters, i.e. initial positions and velocity: coherent states and wavelets. The first is exactly known for oscillator, the second for free particles. Their relation and their construction is discussed from a new unified point of view. We then extend this contraction to the Coulomb problem, where with the introduction of a new time variable T, nonspreading states are obtained. (author). 10 refs.
Authors:
Publication Date:
Aug 01, 1993
Product Type:
Technical Report
Report Number:
IC-93/233
Reference Number:
SCA: 661100; PA: AIX-25:007042; EDB-94:015555; ERA-19:007529; NTS-94:015076; SN: 94001126769
Resource Relation:
Other Information: PBD: Aug 1993
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRONS; EIGENSTATES; WAVE PACKETS; ORBITS; SCHROEDINGER EQUATION; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113132
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE94611075; TRN: XA9335340007042
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
7 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Barut, A O. Coherent states versus De Broglie-Wavelets. IAEA: N. p., 1993. Web.
Barut, A O. Coherent states versus De Broglie-Wavelets. IAEA.
Barut, A O. 1993. "Coherent states versus De Broglie-Wavelets." IAEA.
@misc{etde_10113132,
title = {Coherent states versus De Broglie-Wavelets}
author = {Barut, A O}
abstractNote = {There are two types of nonspreading localized wave forms representing a stable, individual, indivisible, single quantum particle with interference properties endowed with classical (hidden) parameters, i.e. initial positions and velocity: coherent states and wavelets. The first is exactly known for oscillator, the second for free particles. Their relation and their construction is discussed from a new unified point of view. We then extend this contraction to the Coulomb problem, where with the introduction of a new time variable T, nonspreading states are obtained. (author). 10 refs.}
place = {IAEA}
year = {1993}
month = {Aug}
}