corner
corner

Phys. Rev. Lett. 49, 1072–1075 (1982)

Orthogonalization Process by Recurrence Relations

Download: PDF (358 kB) Buy this article Export: BibTeX or EndNote (RIS)

M. Howard Lee
Department of Physics, University of Georgia, Athens, Georgia 30602

Received 26 July 1982; published in the issue dated 11 October 1982

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.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.49.1072
DOI:
10.1103/PhysRevLett.49.1072
PACS:
03.65.Fd, 02.30.+g