星期三, 十一月 22, 2006

Kravchenko1996 任意磁场下氢原子的精确解

主要是给出了氢原子的各能级随磁场的变化。

氢原子的哈密顿量:
Exact solution for a hydrogen atom in a magnetic field of arbitrary strength
Yu. P. Kravchenko and M. A. Liberman

An exact solution describing the quantum states of a hydrogen atom in a homogeneous magnetic field of arbitrary strength is obtained in the form of a power series in the radial variable with coefficients being polynomials in the sine of the polar angle. Energy levels and wave functions for the ground state and for several excited states are calculated exactly for the magnetic field varying in the range 0< B/(m^2e^3c/h^3) < 4000.

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