Relativistic phase space: dimensional recurrences
R Delbourgo, ML Roberts - Journal of Physics A: Mathematical …, 2003 - iopscience.iop.org
We derive recurrence relations between phase space expressions in different dimensions
by confining some of the coordinates to tori or spheres of radius R and taking the limit as …
by confining some of the coordinates to tori or spheres of radius R and taking the limit as …
Evaluation of Phase‐Space Integrals
GH Campbell, JV Lepore, RJ Riddell Jr - Journal of Mathematical …, 1967 - pubs.aip.org
The relativistic phase‐space integral over the submanifold defined by total momentum zero
and fixed total energy is reduced to a single contour integration. The number of particles …
and fixed total energy is reduced to a single contour integration. The number of particles …
Phase‐space approach to relativistic quantum mechanics. I. Coherent‐state representation for massive scalar particles
G Kaiser - Journal of Mathematical Physics, 1977 - pubs.aip.org
We construct a family of equivalent representations U λ (λ≳ 0) of the restricted Poincaré
group 𝒫↑+ for a massive scalar particle on spaces 𝒦λ of functions defined over''phase …
group 𝒫↑+ for a massive scalar particle on spaces 𝒦λ of functions defined over''phase …
Phase space of general relativity revisited: A canonical choice of time and simplification of the Hamiltonian
The phase space of general relativity is considered in the asymptotically flat context. Using
spinorial techniques introduced by Witten, a prescription is given to transport rigidly the …
spinorial techniques introduced by Witten, a prescription is given to transport rigidly the …
Path integral for the relativistic particle in curved space
R Ferraro - Physical Review D, 1992 - APS
The propagator for a single relativistic particle in a (D+ 1)-dimensional curved background is
obtained by evaluating the canonical path integral in the true 2D-dimensional phase space …
obtained by evaluating the canonical path integral in the true 2D-dimensional phase space …
Discrete phase space and continuous time relativistic quantum mechanics I: Planck oscillators and closed string-like circular orbits
The discrete phase space continuous time representation of relativistic quantum mechanics
involving a characteristic length l is investigated. Fundamental physical constants such as ℏ …
involving a characteristic length l is investigated. Fundamental physical constants such as ℏ …
World function dynamics in generalized spacetimes
E Álvarez - Physics Letters B, 1988 - Elsevier
A generalization of general relativity is proposed in which the dynamical variable is the two-
point distance in a metric space which is not necessarily homeomorphic to R n, even locally …
point distance in a metric space which is not necessarily homeomorphic to R n, even locally …
Relativistic canonical formalism and the invariant single-particle distribution function in the general theory of relativity
YG Ignat'ev - Soviet Physics Journal, 1983 - Springer
The relativistic canonical formalism is used to construct an eight-dimensional phase space
and an invariant distribution function, and integral and differential operations in the phase …
and an invariant distribution function, and integral and differential operations in the phase …
[CITATION][C] Improved Hamiltonian for general relativity
T Regge, C Teitelboim - Physics Letters B, 1974 - Elsevier
+ (M/g,rr3)X x/] dx dx/, Page 1 Volume 53B, number 1 PHYSICS LETTERS 11 November 1974
IMPROVED HAMILTONIAN FOR GENERAL RELATIVITY ¢ T. REGGE Institute for Advanced …
IMPROVED HAMILTONIAN FOR GENERAL RELATIVITY ¢ T. REGGE Institute for Advanced …
Quantized fields in complex spacetime
G Kaiser - Annals of Physics, 1987 - Elsevier
We extend to quantized fields the phase-space formalism previously developed for one-
particle relativistic quantum theory. An integral transform is derived which extends an …
particle relativistic quantum theory. An integral transform is derived which extends an …