P. Palting et al., THE HARMONIC-OSCILLATOR TENSOR APPROACH TO THE EIGENSPECTRA OF MULTIPLE-WELL MOLECULAR POTENTIALS - II - PERIODIC POTENTIALS, Journal of molecular structure. Theochem, 432(1), 1998, pp. 1-7
We display the matrix elements for the vibrational operators q(k) sin(
omega(k)q), q(k) cos(omega(k)q), q(k) sinh(omega(k)q) and q(k) cosh(om
ega(k)4) k=0, 1, 2, 3,... derived using an irreducible tensor techniqu
e in the basis of the non-degenerate harmonic oscillator wave function
s. We give an example of a variational eigenvalue calculation, using m
atrix elements calculated in this manner, of an arbitrary periodical a
nd non-periodical potentials expanded in fourier series. (C) 1998 Else
vier Science B.V.