Research output: Contribution to journal › Article › peer-review
Supersymmetry and acoustic problems. / Badanin, A. V.; Belinskii, B. P.; Il'inskii, K. N.; Uzdin, V. M.
In: Theoretical and Mathematical Physics, Vol. 90, No. 3, 01.03.1992, p. 277-280.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Supersymmetry and acoustic problems
AU - Badanin, A. V.
AU - Belinskii, B. P.
AU - Il'inskii, K. N.
AU - Uzdin, V. M.
PY - 1992/3/1
Y1 - 1992/3/1
N2 - 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 supersymmetry, 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.
AB - 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 supersymmetry, 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.
UR - http://www.scopus.com/inward/record.url?scp=34249836292&partnerID=8YFLogxK
U2 - 10.1007/BF01036533
DO - 10.1007/BF01036533
M3 - Article
AN - SCOPUS:34249836292
VL - 90
SP - 277
EP - 280
JO - Theoretical and Mathematical Physics (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 3
ER -
ID: 36624405