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Title: Ghost orbit spectroscopy

Abstract

Direct periodic-orbit expansions of individual spectral eigenvalues is a new direction in quantum mechanics. Using a unitary S-matrix theory, we present exact, convergent, integral-free ghost orbit expansions of spectral eigenvalues for a step potential in the tunneling regime. We suggest an experiment to extract ghost orbit information from measured spectra in the tunneling regime (ghost orbit spectroscopy). We contrast our unitary, convergent theory with a recently published nonunitary, divergent theory [Yu. Dabaghian and R. Jensen, Eur. J. Phys. 26, 423 (2005)].

Authors:
;  [1];  [2]
  1. Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155 (United States)
  2. Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800 (United States)
Publication Date:
OSTI Identifier:
21069756
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevE.73.016211; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENFUNCTIONS; EIGENVALUES; ORBITS; PERIODICITY; POTENTIALS; QUANTUM MECHANICS; S MATRIX; SPECTROSCOPY; TUNNEL EFFECT

Citation Formats

Bhullar, A. S., Bluemel, R., and Koch, P. M.. Ghost orbit spectroscopy. United States: N. p., 2006. Web. doi:10.1103/PHYSREVE.73.016211.
Bhullar, A. S., Bluemel, R., & Koch, P. M.. Ghost orbit spectroscopy. United States. doi:10.1103/PHYSREVE.73.016211.
Bhullar, A. S., Bluemel, R., and Koch, P. M.. Sun . "Ghost orbit spectroscopy". United States. doi:10.1103/PHYSREVE.73.016211.
@article{osti_21069756,
title = {Ghost orbit spectroscopy},
author = {Bhullar, A. S. and Bluemel, R. and Koch, P. M.},
abstractNote = {Direct periodic-orbit expansions of individual spectral eigenvalues is a new direction in quantum mechanics. Using a unitary S-matrix theory, we present exact, convergent, integral-free ghost orbit expansions of spectral eigenvalues for a step potential in the tunneling regime. We suggest an experiment to extract ghost orbit information from measured spectra in the tunneling regime (ghost orbit spectroscopy). We contrast our unitary, convergent theory with a recently published nonunitary, divergent theory [Yu. Dabaghian and R. Jensen, Eur. J. Phys. 26, 423 (2005)].},
doi = {10.1103/PHYSREVE.73.016211},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}