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Interferometry with particles of non-zero rest mass: topological experiments

Technical Report:

Abstract

Interferometry as a space-time process is described, together with its topology. Starting from this viewpoint, a convenient unified formalism for the phase shifts which arise in particle interferometry is developed. This formalism is based on a covariant form of Hamilton`s action principle and Lagrange`s equations of motion. It will be shown that this Lorentz invariant formalism yields a simple perturbation theoretic expression for the general phase shift that arises in matter-wave interferometry. The Lagrangian formalism is compared with the more usual formalism based on the wave propagation vector and frequency. The resulting formalism will be used to analyse the Sagnac effect, gravitational field measurements, and several Aharonov-Bohm-like topological phase shifts. Several topological interferometric experiments using particles of non-zero rest mass are discussed. These experiments involve the use of electrons, neutrons and neutral atoms. Neutron experiments will be emphasised. 45 refs., 15 figs.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/09
Reference Number:
SCA: 661100; PA: AIX-26:017775; EDB-95:031948; SN: 95001329964
Resource Relation:
Other Information: PBD: [1994]
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTERFEROMETRY; PARTICLE BEAMS; SPACE-TIME; AHARONOV-BOHM EFFECT; ATOMS; DE BROGLIE WAVELENGTH; ELECTRONS; ELEMENTARY PARTICLES; EQUATIONS OF MOTION; EXPERIMENTAL DATA; GRAVITATIONAL FIELDS; HAMILTONIAN FUNCTION; LAGRANGIAN FUNCTION; NEUTRON DIFFRACTION; NEUTRONS; PHASE SHIFT; REST MASS; TOPOLOGY; WAVE PROPAGATION; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113699
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616244; TRN: AU9414227017775
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Opat, G I. Interferometry with particles of non-zero rest mass: topological experiments. Australia: N. p., 1994. Web.
Opat, G I. Interferometry with particles of non-zero rest mass: topological experiments. Australia.
Opat, G I. 1994. "Interferometry with particles of non-zero rest mass: topological experiments." Australia.
@misc{etde_10113699,
title = {Interferometry with particles of non-zero rest mass: topological experiments}
author = {Opat, G I}
abstractNote = {Interferometry as a space-time process is described, together with its topology. Starting from this viewpoint, a convenient unified formalism for the phase shifts which arise in particle interferometry is developed. This formalism is based on a covariant form of Hamilton`s action principle and Lagrange`s equations of motion. It will be shown that this Lorentz invariant formalism yields a simple perturbation theoretic expression for the general phase shift that arises in matter-wave interferometry. The Lagrangian formalism is compared with the more usual formalism based on the wave propagation vector and frequency. The resulting formalism will be used to analyse the Sagnac effect, gravitational field measurements, and several Aharonov-Bohm-like topological phase shifts. Several topological interferometric experiments using particles of non-zero rest mass are discussed. These experiments involve the use of electrons, neutrons and neutral atoms. Neutron experiments will be emphasised. 45 refs., 15 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}