Orthogonalization process by recurrence relations
Journal Article
·
· Phys. Rev. Lett.; (United States)
An orthogonalization process is proposed, applicable to spaces which are realizations of abstract Hilbert space. It is simpler than the Gram-Schmidt process. A recurrence relation which orthogonalizes a physical space is proposed and it is shown that the generalized Langevin equation is contained therein. This process serves as a basis for understanding the nature of the dynamic many-body formalism.
- Research Organization:
- Department of Physics, University of Georgia, Athens, GA 30602
- DOE Contract Number:
- AS09-77ER01023
- OSTI ID:
- 6630331
- Journal Information:
- Phys. Rev. Lett.; (United States), Vol. 49:15
- Country of Publication:
- United States
- Language:
- English
Similar Records
Study of mechanism of hydrogen diffusion in separation devices. Progress report for 1980-1983
Derivation of the generalized Langevin equation by a method of recurrence relations
Coherent orthogonal polynomials
Technical Report
·
Mon Aug 15 00:00:00 EDT 1983
·
OSTI ID:6630331
Derivation of the generalized Langevin equation by a method of recurrence relations
Journal Article
·
Sat Oct 01 00:00:00 EDT 1983
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:6630331
Coherent orthogonal polynomials
Journal Article
·
Thu Aug 15 00:00:00 EDT 2013
· Annals of Physics (New York)
·
OSTI ID:6630331
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
ORTHOGONAL TRANSFORMATIONS
RECURSION RELATIONS
FUNCTIONS
HILBERT SPACE
LANGEVIN EQUATION
MANY-BODY PROBLEM
QUANTUM OPERATORS
BANACH SPACE
EQUATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
SPACE
TRANSFORMATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
GENERAL PHYSICS
QUANTUM MECHANICS
ORTHOGONAL TRANSFORMATIONS
RECURSION RELATIONS
FUNCTIONS
HILBERT SPACE
LANGEVIN EQUATION
MANY-BODY PROBLEM
QUANTUM OPERATORS
BANACH SPACE
EQUATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
SPACE
TRANSFORMATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics