STOCHASTIC METHODS IN QUANTUM MECHANICS

Journal Article · Sun Oct 01 00:00:00 EDT 1961 · J. Math. Anal. and Appls.

DOI:https://doi.org/10.1016/0022-247X(61)90055-5· OSTI ID:4799137

Ramakrishnan, A; Ranganathan, N R

Relations to quantum mechanics of the superposition principle, the concepts of realization and inverse probability, product densities of many- particle systems, the method of regeneration points, and ambigenous stochastic processes are discussed. An alternative interpretation of the Feynman formalism and direct proof of equivalence of the Feynman and field-theoretic formalisms are presented. Possibilities of developing a nonperturbative approach using Feynman formalism by adopting study methods for ambigenous processes evolving both forward and backward, with respect to a one-dimensional, parameter are discussed. Results in the theory of linear matrix equation solutions are presented. (L.N.N.)

• Research Organization: Madras Univ.
• NSA Number: NSA-16-012263
• OSTI ID: 4799137
• Journal Information: J. Math. Anal. and Appls., Vol. Vol: 3; Other Information: Orig. Receipt Date: 31-DEC-62
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
FEYNMAN DIAGRAM
FIELD THEORY
INTERACTIONS
MATHEMATICS
MATRICES
QUANTUM MECHANICS
STATISTICS
STOCHASTIC PROCESSES