26 citations
8 papers
Schrödinger equation with Pauli-Fierz Hamiltonian and double well potential as model of vibrationally enhanced tunneling for proton transfer in hydrogen bond
A. E. Sitnitsky
A solution of the two-dimensional Schrödinger equation with Pauli-Fierz Hamiltonian and trigonometric double-well potential is obtained within the framework of the first-order of a…
Model for vibrationally enhanced tunneling of proton transfer in hydrogen bond
A. E. Sitnitsky
Theoretical analysis of the effect of an external vibration on proton transfer (PT) in a hydrogen bond (HB) is carried out. It is based on the two-dimensional Schrödinger equation…
Exactly solvable double-well potential in Schrödinger equation for inversion mode of phosphine molecule
A. E. Sitnitsky
The reduced mass of the effective quantum particle for the inversion mode of phosphine molecule is known to be a position dependent one. In the present article…
Calculation of IR absorption intensities for hydrogen bond from exactly solvable Schrödinger equation
A. E. Sitnitsky
A theoretical description of IR spectroscopy data for a hydrogen bond (HB) is constructed on the base of trigonometric double-well potential for which an exact analytic solution of…
Analytic treatment of IR-spectroscopy data for double well potential
A. E. Sitnitsky
A theoretical scheme for the analysis of experimental data on IR spectroscopy for a quantum particle in a double well potential (DWP) is suggested. The analysis is based on the tri…
Analytic description of inversion vibrational mode for ammonia molecule
A. E. Sitnitsky
The one-dimensional Schrödinger equation with symmetric trigonometric double-well potential is exactly solved via angular prolate spheroidal function. Although it is inferior compa…