Orthogonalization Process by Recurrence Relations

Orthogonalization Process by Recurrence Relations

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 th...

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Veröffentlicht in:Phys. Rev. Lett.; (United States) 1982-10, Vol.49 (15), p.1072-1075
1. Verfasser: Lee, M. Howard
Format: Artikel
Sprache:eng
Schlagworte:
BANACH SPACE
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EQUATIONS
FUNCTIONS
HILBERT SPACE
LANGEVIN EQUATION
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
ORTHOGONAL TRANSFORMATIONS
QUANTUM MECHANICS
QUANTUM OPERATORS
RECURSION RELATIONS
SPACE
TRANSFORMATIONS 657002 > Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
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Beschreibung
Zusammenfassung: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.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.49.1072