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Title: Quantum motion of a neutron in a waveguide in the gravitational field

Abstract

We study theoretically the quantum motion of a neutron in a horizontal waveguide in the gravitational field of the Earth. The waveguide in question is equipped with a mirror below and a rough surface absorber above. We show that such a system acts as a quantum filter, i.e. it effectively absorbs quantum states with sufficiently high transversal energy but transmits low-energy states. The states transmitted are determined mainly by the potential well formed by the gravitational field of the Earth and the mirror. The formalism developed for quantum motion in an absorbing waveguide is applied to the description of the recent experiment on the observation of the quantum states of neutrons in the Earth's gravitational field.

Authors:
; ; ; ; ; ;  [1];  [2];  [2];  [3];  [4];  [5]
  1. P.N. Lebedev Physical Institute, 53 Leninsky prospekt, 119991, Moscow (Russian Federation)
  2. (Germany)
  3. (ILL), 6 rue Jules Horowitz, F-38042, Grenoble (France)
  4. (LPSC), IN2P3-CNRS, UJFG, 53, Avenue des Martyrs, F-38026, Grenoble (France)
  5. (Italy)
Publication Date:
OSTI Identifier:
20776767
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044029; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FILTERS; GRAVITATIONAL FIELDS; MIRRORS; NEUTRONS; POTENTIALS; SURFACES; WAVEGUIDES

Citation Formats

Voronin, A.Yu., Abele, H., Baessler, S., Nesvizhevsky, V.V., Petukhov, A.K., Protasov, K.V., Westphal, A., Physikalisches Institut der Universitaet Heidelberg, Philosophenweg 12, 69120 Heidelberg, Institut of Physics, University of Mainz, 55099 Mainz, Institut Laue-Langevin, Laboratoire de Physique Subatomique et de Cosmologie, and ISAS-SISSA and INFN, Via Beirut 2-4, I-34014 Trieste. Quantum motion of a neutron in a waveguide in the gravitational field. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.044029.
Voronin, A.Yu., Abele, H., Baessler, S., Nesvizhevsky, V.V., Petukhov, A.K., Protasov, K.V., Westphal, A., Physikalisches Institut der Universitaet Heidelberg, Philosophenweg 12, 69120 Heidelberg, Institut of Physics, University of Mainz, 55099 Mainz, Institut Laue-Langevin, Laboratoire de Physique Subatomique et de Cosmologie, & ISAS-SISSA and INFN, Via Beirut 2-4, I-34014 Trieste. Quantum motion of a neutron in a waveguide in the gravitational field. United States. doi:10.1103/PhysRevD.73.044029.
Voronin, A.Yu., Abele, H., Baessler, S., Nesvizhevsky, V.V., Petukhov, A.K., Protasov, K.V., Westphal, A., Physikalisches Institut der Universitaet Heidelberg, Philosophenweg 12, 69120 Heidelberg, Institut of Physics, University of Mainz, 55099 Mainz, Institut Laue-Langevin, Laboratoire de Physique Subatomique et de Cosmologie, and ISAS-SISSA and INFN, Via Beirut 2-4, I-34014 Trieste. Wed . "Quantum motion of a neutron in a waveguide in the gravitational field". United States. doi:10.1103/PhysRevD.73.044029.
@article{osti_20776767,
title = {Quantum motion of a neutron in a waveguide in the gravitational field},
author = {Voronin, A.Yu. and Abele, H. and Baessler, S. and Nesvizhevsky, V.V. and Petukhov, A.K. and Protasov, K.V. and Westphal, A. and Physikalisches Institut der Universitaet Heidelberg, Philosophenweg 12, 69120 Heidelberg and Institut of Physics, University of Mainz, 55099 Mainz and Institut Laue-Langevin and Laboratoire de Physique Subatomique et de Cosmologie and ISAS-SISSA and INFN, Via Beirut 2-4, I-34014 Trieste},
abstractNote = {We study theoretically the quantum motion of a neutron in a horizontal waveguide in the gravitational field of the Earth. The waveguide in question is equipped with a mirror below and a rough surface absorber above. We show that such a system acts as a quantum filter, i.e. it effectively absorbs quantum states with sufficiently high transversal energy but transmits low-energy states. The states transmitted are determined mainly by the potential well formed by the gravitational field of the Earth and the mirror. The formalism developed for quantum motion in an absorbing waveguide is applied to the description of the recent experiment on the observation of the quantum states of neutrons in the Earth's gravitational field.},
doi = {10.1103/PhysRevD.73.044029},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}