星期三, 十一月 22, 2006

Kravchenko1996 强磁场下氢原子的精确解

计算均匀磁场下的氢原子

Highly Accurate Solution for a Hydrogen Atom in a Uniform Magnetic Field

Yu. P. Kravchenko,1,2 M. A. Liberman,1,2 and B. Johansson1
The highly accurate series solution for a hydrogen atom in a uniform magnetic field of arbitrary strength is obtained. It is derived in the form of a power series in two variables, the radius and the sine of the cone angle, with explicit recurrent relations for the coefficients of the power series. As an illustration, a brief list of energy values with accuracy 10212 hartree for the magnetic field
0 < B < 4000 and pictures of selected anticrossings in the chaotic region of the spectrum are presented.

VOLUME 77, NUMBER 4 PHYS I CAL RE V I EW LETTERS 22 JULY 1996

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