scholarly journals Integration Over a Generic Algebra

1997 ◽  
Vol 12 (32) ◽  
pp. 5803-5826 ◽  
Author(s):  
R. Casalbuoni
Keyword(s):  
Path Integral ◽  
Configuration Spaces ◽  
Integral Formalism ◽  
Explicit Algorithm ◽  
Path Integral Formalism ◽  
Generic Algebra ◽  
Definition Of ◽  
General Conditions

In this paper we consider the problem of quantizing theories defined over configuration spaces described by noncommuting parameters. If one tries to do that by generalizing the path-integral formalism, the first problem one has to deal with is the definition of integral over these generalized configuration spaces. This is the problem we state and solve in the present work, by constructing an explicit algorithm for the integration over a generic algebra. The general conditions a given algebra has to satisfy in order to admit our integration are not yet fully understood, but many examples are discussed in order to illustrate our construction.

Application of path integral formalism in spectral line broadening: Lyman- in hydrogenic plasma

2005 ◽  
Vol 94 (3-4) ◽  
pp. 335-346 ◽  
Author(s):  
H. Bouguettaia ◽  
Is. Chihi ◽  
K. Chenini ◽  
M.T. Meftah ◽  
F. Khelfaoui ◽  
...  
Keyword(s):  
Spectral Line ◽  
Path Integral ◽  
Line Broadening ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Spectral Line Broadening

Multi-instantons and exact results IV: Path integral formalism

2011 ◽  
Vol 326 (8) ◽  
pp. 2186-2242 ◽  
Author(s):  
Ulrich D. Jentschura ◽  
Jean Zinn-Justin
Keyword(s):  
Path Integral ◽  
Exact Results ◽  
Integral Formalism ◽  
Path Integral Formalism

scholarly journals The solar-interior equation of state with the path-integral formalism

2009 ◽  
Vol 505 (2) ◽  
pp. 735-742 ◽  
Author(s):  
A. Perez ◽  
K. Mussack ◽  
W. Däppen ◽  
D. Mao
Keyword(s):  
Equation Of State ◽  
Path Integral ◽  
Solar Interior ◽  
Integral Formalism ◽  
Path Integral Formalism

Effects of barrier penetration on energy spectrum and wave functions in the path integral formalism

1978 ◽  
Vol 136 (2) ◽  
pp. 259-276 ◽  
Author(s):  
Iring Bender ◽  
Dieter Gromes ◽  
Heinz J. Rothe ◽  
Klaus D. Rothe
Keyword(s):  
Energy Spectrum ◽  
Path Integral ◽  
Wave Functions ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Barrier Penetration

COVARIANT VS. UNITARY QUANTIZATION: SUPERSYMMETRIC RECONCILIATION

1993 ◽  
Vol 08 (10) ◽  
pp. 1773-1785
Author(s):  
L. ROZANSKY
Keyword(s):  
Path Integral ◽  
Integral Formalism ◽  
Quantization Procedure ◽  
One Dimensional ◽  
Path Integral Formalism ◽  
Unitary Gauge ◽  
Gravitational Theories ◽  
Dirac Spin

A quantization of one-dimensional supergravity, which leads to a Dirac spin 1/2 particle, is considered. A propagator of this particle is calculated in the path integral formalism. A covariant procedure (which involves ghosts) is applied in the unitary gauge. We show that supersymmetry can remove the discrepancy between the covariant and unitary quantization procedure, which was discovered in Ref. 4 for the case of nonsupersymmetric gravitational theories.

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