Abstract
Publisher Summary This chapter discusses the zero-range potential model (ZRPM) and its application in atomic and molecular physics. The ZRPM is a method of treating the problem of a particle in the field of a short-range potential well when there is a shallow energy level near the boundary of the continuum spectrum. The basic idea of ZRPM is to replace the Schrodinger equation inside the well by a certain boundary condition on the wavefunction at the center of the well. The ZRPM can be easily generalized for the case when there are several potential wells at rest or moving and also when, besides the wells, there are electric and magnetic fields. The chapter also discusses the basic relations and presents some applications of one- and many-center boundary conditions in atomic and molecular physics. A charged particle was studied under the action of (1) a homogeneous electric field, (2) a homogeneous magnetic field, (3) crossed electric and magnetic fields, (4) a rotating electric field, and (5) a Coulomb field of a point charge.
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