On Maslov's Quantization Condition for Mechanics in a Magnetic Field

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This paper considers Maslov's quantization condition for the dynamical system in a magnetic field on the basis of the theory of Fourier integral operators. As a result, it is clarified that a quasi-classical eigenvalue (energy level) according to the quantization rule provides an approximation of order h^2 to the true eigenvalue of the Schrodinger operator.

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