Foldy-Wouthuysen transformations in an indefinite-metric space. III. Relation to Lorentz transformations for first-order wave equations and the Poincare generators

Journal Article · Sat Jan 15 04:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.416· OSTI ID:7233610

Krajcik, R A; Nieto, M M

We show that there exists a definite relationship between a Lorentz transformation and a Foldy-Wouthuysen (FW) transformation for any relativistic wave equation in an indefinite-metric space which satisfies the following criteria: (i) The equation is first order with no external constraint equations. (ii) An adjoint equation (or, equivalently, a parity operator) exists. (iii) Lorentz transformation operators and related Poincare generators are well defined. (iv) Any built-in subsidiary components can be decoupled. Our result allows us to obtain the explicit forms of the FW-transformed Poincare generators from the original generators and in principle allows us to determine the exact, closed-form FW transformation. (AIP)

• Research Organization: Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 7233610
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657001* -- Theoretical Physics-- General & Miscellaneous-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FOLDY-WOUTHUYSEN TRANSFORM
GENERAL RELATIVITY THEORY
LIE GROUPS
LORENTZ TRANSFORMATIONS
METRICS
POINCARE GROUPS
RELATIVITY THEORY
SPACE-TIME
SYMMETRY GROUPS
TRANSFORMATIONS
WAVE EQUATIONS