Geodesic
Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)
Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 177-186

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A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.
Keywords: Landau Level, Guiding Ceter, Coherent State 
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     author = {Kuratsuji, Hiroshi and Tochishita, Teruyuki and Mizui, Masayuki},
     title = {Quantum {Mechanics} of {Guiding} {Center} {Motion} in {Strong} {Magnetic} {Field} {(Coherent} {State} {Path} {Integral} {Approach)}},
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Kuratsuji, Hiroshi; Tochishita, Teruyuki; Mizui, Masayuki. Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach). Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 177-186. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a7/