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The consequences of the assumption of invariance of a spinor theory under local automorphism transformations of the Clifford algebra basis elements are explored. This invariance is equivalent to allow...
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Schwinger–Dyson Becchi–Rouet–Stora–Tyutin symmetry and the Batalin–Vilkovisky Lagrangian quantization of gauge theories with open or reducible gauge algebras
In this short paper we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

Levinson's theorem, zero-energy resonances, and time delay in one-dimensional scattering systems

J. Math. Phys. 35, 2719 (1994); doi:10.1063/1.530481

Issue Date: June 1994

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M. Sassoli de Bianchi
Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
The one-dimensional Levinson's theorem is derived and used to study zero-energy resonances in a double-potential system. The low energy behavior of time delay is also investigated. In particular, it is shown that the quantum mechanical time delay admits a classical lower bound, in the low energy limit, if the potential has no bound-state solutions. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
History: Received 29 December 1993; accepted 7 February 1994
Permalink: http://link.aip.org/link/?JMAPAQ/35/2719/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Nk
    Classical and quantum physics: mechanics and fields Quantum mechanics Nonrelativistic scattering theory
  • 03.65.Ge
    Classical and quantum physics: mechanics and fields Quantum mechanics Solutions of wave equations: bound states
  • YEAR: 1994

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (15)
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