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Quantum statistics of the degenerate parametric amplifier

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  • Sebawe Abdalla, M.

Abstract

From the quantum mechanics and the quantum optics point of view the problem of the time-dependent Hamiltonian which describes the degenerate parametric amplifier is presented. Under a certain integrability condition the solution of the Heisenberg equations of motion is given. The wave function for both the Schrödinger picture and quasi-coherent states, as well as the Green's function is obtained. The Glauber second order correlation function, and the squeezing and higher order squeezing is examined. The quasi-probability distribution function is also considered.

Suggested Citation

  • Sebawe Abdalla, M., 1994. "Quantum statistics of the degenerate parametric amplifier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 461-475.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:3:p:461-475
    DOI: 10.1016/0378-4371(94)90093-0
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    1. Aryeh Unger, 1991. "The travails of intra‐party democracy in the Soviet Union: The elections to the 19th conference of the CPSU," Europe-Asia Studies, Taylor & Francis Journals, vol. 43(2), pages 329-354.
    2. Abdalla, Ikhlas H, 1983. "Impact of influence and skill on managerial performance," Omega, Elsevier, vol. 11(3), pages 263-272.
    3. Abdalla, Charles W. & Libby, Lawrence W., 1982. "Economics of Michigan Wetlands," Agricultural Economic Report Series 201303, Michigan State University, Department of Agricultural, Food, and Resource Economics.
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