Exact solution for a hydrogen atom in a magnetic field of arbitrary strength

Physics

Scientific paper

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Solutions Of Wave Equations: Bound States, Zeeman And Stark Effects, Neutron Stars, Partial Differential Equations

Scientific paper

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

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