Semiclassical quantization of circular billiard in homogeneous magnetic field: Berry-Tabor approach
2001 ◽
Vol 26
(5)
◽
pp. 269-280
Keyword(s):
Semiclassical methods are accurate in general in leading order ofħ, since they approximate quantum mechanics via canonical invariants. Often canonically noninvariant terms appear in the Schrödinger equation which are proportional toħ2, therefore a discrepancy between different semiclassical trace formulas in order ofħ2seems to be possible. We derive here the Berry-Tabor formula for a circular billiard in a homogeneous magnetic field. The formula derived for the semiclassical density of states surprisingly coincides with the results of Creagh-Littlejohn theory despite the presence of canonically noninvariant terms.
1999 ◽
Vol 32
(29)
◽
pp. 5509-5515
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