Published December 15, 1988 | Version v1
Journal article Metadata-only

On the calculation of the Berry phase in a solvable model

Creators

  • 1. Technische Univ., Graz (Austria). Inst. fuer Theoretische Physik und Reaktorphysik
  • 2. Vienna Univ. (Austria). Inst. fuer Theoretische Physik

Description

We study fermions defined on a one-dimensional interval, for which the interaction is given by a four-parameter family of boundary conditions. We compare the full solution to the adiabatic approximation and determine the Berry phase for a number of typical orbits in parameter space. We observe the occurrence of a non-trivial fundamental group and discuss the possibilities of avoided crossings and apparent crossings. (orig.)

Additional details

Publishing Information

Journal Title
Physics Letters, (Section) B
Journal Volume
215
Journal Issue
2
Series
Phys. Lett., B.
Journal Page Range
359-363
ISSN
0370-2693
CODEN
PYLBA

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
20020004
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ADIABATIC APPROXIMATION; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; DIFFERENTIAL GEOMETRY; DIRAC EQUATION; EIGENFUNCTIONS; EIGENSTATES; EIGENVALUES; EIGENVECTORS; FERMIONS; FOUR-DIMENSIONAL CALCULATIONS; FUNCTIONAL ANALYSIS; HAMILTONIANS; HILBERT SPACE; ONE-DIMENSIONAL CALCULATIONS; PARTICLE INTERACTIONS; PHASE SHIFT; QUANTUM FIELD THEORY; SMOOTH MANIFOLDS; SPINOR FIELDS; TIME DEPENDENCE; U-1 GROUPS; U-2 GROUPS
Descriptors DEC
BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; GEOMETRY; INTERACTIONS; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS; U GROUPS; WAVE EQUATIONS

Optional Information

Contract/Grant/Project number
Contract P5588