Published June 1995 | Version v1
Journal article Metadata-only

Gauge and supersymmetric structure of quantum mechanics on hypersurface, embedded into Euclidean space

Creators

  • 1. AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Fiziki
  • 2. Hokkaido Univ., Sapporo (Japan)

Description

The quantum mechanics of scalar and spinor particles in the short-range confinement potential, connected with hypersurface Vn, embedded into Euclidean space Rp of superior of dimensions p>n, has been constructed. It has been shown that at p>n+1 their dynamics is determined by the quantum potential which can be expressed through curvatures of hypersurface Vn and possesses a non-Abelian gauge structure which is adequately described in the terms of Kaluza-Klein scheme. 15 refs

Additional details

Additional titles

Original title (Russian)
Калибровочная и суперсимметричная структура квантовой механики на гиперповерхностях, вложенных в евклидово пространство

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
58
Journal Issue
6
Journal Page Range
p. 1137-1145.
ISSN
0044-0027
CODEN
IDFZA7

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
27016856
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BAG MODEL; EUCLIDEAN SPACE; GAUGE INVARIANCE; POTENTIALS; QUANTUM MECHANICS; SUPERSYMMETRY
Descriptors DEC
EXTENDED PARTICLE MODEL; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MECHANICS; PARTICLE MODELS; RIEMANN SPACE; SPACE; SYMMETRY