Geodesic
Supersymmetry and acoustic problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 3, pp. 407-411

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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. 
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     author = {A. V. Badanin and B. P. Belinskii and K. N. Il'inskii and V. M. Uzdin},
     title = {Supersymmetry and acoustic problems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {407--411},
     publisher = {mathdoc},
     volume = {90},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a5/}
}
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A. V. Badanin; B. P. Belinskii; K. N. Il'inskii; V. M. Uzdin. Supersymmetry and acoustic problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 3, pp. 407-411. http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a5/