Schroedinger perturbation theory in the adiabatic representation of the three-body problem

Journal Article · Sun May 01 00:00:00 EDT 1977 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6842931

Vinitskii, S I; Ponomarev, L I

A perturbation theory for the calculation of the binding energy and the wave functions of a three-body system is developed for the problem of three bodies with Coulomb approximation. The zeroth approximation used was an adiabatic basis, i.e., solutions and terms of the two-center problem of quantum mechanics, and the kinetic energy of the relative motion of like charged particles is regarded as a perturbation. The method is illustrated with the calculation of the binding energy of the pd..mu.. mesic molecule as an example.

• Research Organization: Joint Institute for Nuclear Research
• OSTI ID: 6842931
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 45:5; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

640303* -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
BINDING ENERGY
CRYOGENIC FLUIDS
ELEMENTS
ENERGY
FLUIDS
FUNCTIONS
HELIUM
MANY-BODY PROBLEM
MECHANICS
MOLECULES
MUONIC MOLECULES
NONMETALS
PERTURBATION THEORY
QUANTUM MECHANICS
RARE GASES
THREE-BODY PROBLEM
WAVE FUNCTIONS