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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 3, Pages 407–411
(Mi tmf5552)
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This article is cited in 1 scientific paper (total in 1 paper)
Supersymmetry and acoustic problems
A. V. Badanin, B. P. Belinskii, K. N. Il'inskii, V. M. Uzdin Leningrad State University
Abstract:
The oscillations of a compressible fluid within a region bounded by a flat plate on one side and an acoustically soft boundary on the other are studied. A supersymmetric structure of the resolvent is established. It is shown that, because of the presence of the supersymrnetry, the solution has properties in common with the solution to the quantum-mechanical problem of an electron in a magnetic field. The connection between supersymmetry and the symmetry group of the problem is demonstrated.
Received: 25.01.1991
Citation:
A. V. Badanin, B. P. Belinskii, K. N. Il'inskii, V. M. Uzdin, “Supersymmetry and acoustic problems”, TMF, 90:3 (1992), 407–411; Theoret. and Math. Phys., 90:3 (1992), 277–280
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https://www.mathnet.ru/eng/tmf5552 https://www.mathnet.ru/eng/tmf/v90/i3/p407
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Abstract page: | 545 | Full-text PDF : | 292 | References: | 85 | First page: | 2 |
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