An analysis of the quantum mechanical relativistic two-body problem
Thesis/Dissertation
·
OSTI ID:5535779
A 16 {times} 16 relativistic two-body equation has been derived from field theory. This equation is a one time equation and it has all the recoil and spin effects of both Dirac particles. The equation is separable to center of mass and relative motions. The relative motion is separable to radial and angular parts. The 16 radial-coupled first-order differential equations reduce to two sets of eight equations. Each set is reduced to two coupled second-order differential equations on two radial functions. The second-order differential equations are approximated to order {alpha}{sup 4} and the exactly solvable parts are solved. The results of the energy eigenvalues up to order {alpha}{sup 4} are the same as the standard theory.
- Research Organization:
- Wyoming Univ., Laramie, WY (United States)
- OSTI ID:
- 5535779
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MANY-BODY PROBLEM
MECHANICS
MOTION
QUANTUM MECHANICS
RELATIVITY THEORY
TWO-BODY PROBLEM
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MANY-BODY PROBLEM
MECHANICS
MOTION
QUANTUM MECHANICS
RELATIVITY THEORY
TWO-BODY PROBLEM