Orthogonalization process by recurrence relations

Journal Article · Mon Oct 11 04:00:00 EDT 1982 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.49.1072· OSTI ID:6630331

Lee, M H

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), Journal Name: Phys. Rev. Lett.; (United States) Vol. 49:15; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
EQUATIONS
FUNCTIONS
HILBERT SPACE
LANGEVIN EQUATION
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
ORTHOGONAL TRANSFORMATIONS
QUANTUM MECHANICS
QUANTUM OPERATORS
RECURSION RELATIONS
SPACE
TRANSFORMATIONS