Department of Physics, Shanghai University, Shanghai 200444, China
Abstract:
A detailed procedure based on an analytical transfer matrix
method is presented to solve bound-state problems. The derivation is
strict and complete. The energy eigenvalues for an arbitrary
one-dimensional potential can be obtained by the method. The
anharmonic oscillator potential and the rational potential are two
important examples. Checked by numerical techniques, the results for
the two potentials by the present method are proven to be exact and
reliable.