scholarly journals Quantization of Free Scalar Fields in the Presence of Natural Cutoffs

2012 ◽  
Vol 2012 ◽  
pp. 1-19
Author(s):  
K. Nozari ◽  
F. Moafi ◽  
F. Rezaee Balef
Keyword(s):  
Quantum Theory ◽  
Path Integral ◽  
Deformation Parameter ◽  
Heisenberg Algebra ◽  
Scalar Fields ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Higher Dimensional ◽  
Free Scalar ◽  
Maximal Momentum

We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebrax^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, whereβis a deformation parameter. We consider both canonical and path integral formalisms of the scenario. Finally a higher dimensional extension is easily performed in the path integral formalism.

scholarly journals QUANTIZATION OF FIELDS BASED ON GENERALIZED UNCERTAINTY PRINCIPLE

2006 ◽  
Vol 21 (16) ◽  
pp. 1285-1296 ◽  
Author(s):  
TOSHIHIRO MATSUO ◽  
YUUICHIROU SHIBUSA
Keyword(s):  
Quantum Theory ◽  
Scalar Field ◽  
Path Integral ◽  
Uncertainty Principle ◽  
Deformation Parameter ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Integral Formalism ◽  
Higher Dimensional ◽  
Free Scalar

We construct a quantum theory of free scalar field in (1+1) dimensions based on the deformed Heisenberg algebra [Formula: see text] where β is a deformation parameter. Both canonical and path integral formalisms are employed. A higher dimensional extension is easily performed in the path integral formalism.

Path integral formalism for Osp(1 mod 2) coherent states

1994 ◽  
Vol 27 (18) ◽  
pp. L697-L702 ◽  
Author(s):  
Xiao-Ming Liu ◽  
Shun-Jin Wang
Keyword(s):  
Path Integral ◽  
Coherent States ◽  
Integral Formalism ◽  
Path Integral Formalism

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
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