Geodesic
Connection between Cartesian and polar wave functions of a nonrelativistic charged particle in a homogeneous magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 140-143
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A linear transformation is found between the Cartesian and polar wave functions of a nonrelativistic charged particle moving in a homogeneous magnetic field. It is shown that the coefficients of this linear transformation coincide with the normalized Hermite functions $\overline H_n(y_0/a)$, where $y_0=a^2p_x/\hbar$, $p_x$ is the projection of the momentum, and $a$ is a parameter with the dimensions of a length characteristic of the investigated problem. 
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     title = {Connection between {Cartesian} and polar wave functions of a~nonrelativistic charged particle in a~homogeneous magnetic field},
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G. S. Pogosyan; V. M. Ter-Antonyan. Connection between Cartesian and polar wave functions of a nonrelativistic charged particle in a homogeneous magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 140-143. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a14/

[1] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, «Nauka», 1974 | MR

[2] M. H. Johnson, B. A. Lippmann, Phys. Rev., 76 (1949), 828 | DOI | MR | Zbl

[3] V. I. Kogan, V. M. Galitskii, Sbornik zadach po kvantovoi mekhanike, GITTL, 1956

[4] G. S. Pogosyan, V. M. Ter-Antonyan, G. T. Torosyan, Preprint PLRF-77-04, Erevan, 1977

[5] D. A. Varshalovich, A. N. Moskalev, V. K. Khersonskii, Kvantovaya teoriya uglovogo momenta, «Nauka», 1975

[6] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, 1963, str. 852 | MR

[7] G. S. Pogosyan, V. M. Ter-Antonyan, Izv. AN Arm. SSR, 13 (1978), 3 | MR

[8] E. B. Aronson, I. A. Malkin, V. I. Manko, EChAYa, 5, no. 1, Atomizdat, 1974 | MR