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- Title
Solution of a one-dimensional torsion Schrödinger equation with a general periodic potential.
- Authors
Turovtsev, V.; Belotserkovskii, A.; Orlov, Yu.
- Abstract
Relations are found for the calculation of eigenvalues and eigenfunctions of the Hamiltonian of internal rotational motion in molecules in the basis of plane waves. The dependences of kinematic coefficient F(φ) and potential V(φ) on dihedral angle φ are represented by Fourier series for both symmetric and asymmetric functions, as well as for general periodic functions. If a molecule has symmetry elements, the found solution transforms to that previously known.
- Subjects
EIGENVALUES; EIGENFUNCTIONS; HAMILTON'S equations; ROTATIONAL motion; PLANE wavefronts; PERIODIC functions
- Publication
Optics & Spectroscopy, 2014, Vol 117, Issue 5, p710
- ISSN
0030-400X
- Publication type
Article
- DOI
10.1134/S0030400X14090264