An invariant imbedding analysis of general wave scattering problems
The invariant imbedding technique, via the solution of a Riccati-type equation, is modified to calculate the wave fields inside and scattered from a strongly (laterally and vertically) heterogenous, a...
The invariant imbedding technique, via the solution of a Riccati-type equation, is modified to calculate the wave fields inside and scattered from a strongly (laterally and vertically) heterogenous, a...
Master equation based formulation of nonequilibrium statistical mechanics
For a nonequilibrium system characterized by its state space, by a dynamics defined by a transfer matrix and by a reference equilibrium dynamics given by a detailed-balance transfer matrix, we define ...
For a nonequilibrium system characterized by its state space, by a dynamics defined by a transfer matrix and by a reference equilibrium dynamics given by a detailed-balance transfer matrix, we define ...
The construction of spinor fields on manifolds with smooth degenerate metrics
J. Math. Phys. 37, 3882 (1996); doi:10.1063/1.531607
Issue Date: August 1996
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We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex spinor fibration to make precise the meaning of continuity of a spinor field and give an express- ion for the components of a local spinor connection that is valid in the absence of a frame of local orthonormal vectors. These considerations enable one to construct a Dirac equation for the discussion of the behavior of spinors in the vicinity of the metric degeneracy. We conclude that the theory contains more freedom than the spacetime Dirac theory and we discuss some of the implications of this for the continuity of conserved currents. ©1996 American Institute of Physics.
| History: | Received 28 June 1995; accepted 25 March 1996 |
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http://link.aip.org/link/?JMAPAQ/37/3882/1 |
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BibSonomy
KEYWORDS and PACS
SPINOR FIELDS,
MATHEMATICAL MANIFOLDS,
METRICS,
DIRAC EQUATION,
SPACE–,
TIME,
TOPOLOGY,
UNIFIED–,
FIELD THEORIES,
GRAVITATIONAL FIELDS,
GENERAL RELATIVITY THEORY
- 04.20.Gz
General relativity and gravitation Classical general relativity Spacetime topology, causal structure, spinor structure - 03.65.Pm
Classical and quantum physics: mechanics and fields Quantum mechanics Relativistic wave equations - 03.50.Kk
Classical and quantum physics: mechanics and fields Classical field theory Other special classical field theories - YEAR: 1996
RELATED DATABASES
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (7)
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