Grassmann coherent states representation of the path integral: Evaluation of the generating function for spin systems

2002 ◽  
Vol 90 (6) ◽  
pp. 1562-1576 ◽  
Author(s):  
Pablo G. O. Anicich ◽  
Horacio Grinberg
Keyword(s):  
Generating Function ◽  
Path Integral ◽  
Coherent States ◽  
Spin Systems ◽  
Integral Evaluation

scholarly journals From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexandre Belin ◽  
Benjamin Withers
Keyword(s):  
Quantum Theory ◽  
Initial Data ◽  
Path Integral ◽  
Coherent States ◽  
Microscopic Theory ◽  
Delta Function ◽  
Common Method ◽  
Single Trace

Abstract A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.

Path integral for spinning particle in magnetic field via bosonic coherent states

1995 ◽  
Vol 36 (4) ◽  
pp. 1602-1615 ◽  
Author(s):  
T. Boudjedaa ◽  
A. Bounames ◽  
L. Chetouani ◽  
T. F. Hammann ◽  
Kh. Nouicer
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Coherent States ◽  
Spinning Particle

On the Path Integral Evaluation of the S-Matrix for Noncentral Potentials

2020 ◽  
pp. 187-198
Author(s):  
M. V. Carpio-bernido ◽  
E. B. Gravador ◽  
C. C. Bernido
Keyword(s):  
Path Integral ◽  
Integral Evaluation ◽  
S Matrix

Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states

2019 ◽  
Vol 17 (02) ◽  
pp. 2050021
Author(s):  
H. Fakhri ◽  
S. E. Mousavi Gharalari
Keyword(s):  
Harmonic Oscillator ◽  
Generating Function ◽  
Coherent States ◽  
Finite Interval ◽  
Hermite Polynomials ◽  
Oscillator Algebra ◽  
Text Representation ◽  
Ladder Operators ◽  
Recursion Relations ◽  
Wilson Operator

We use the recursion relations of the continuous [Formula: see text]-Hermite polynomials and obtain the [Formula: see text]-difference realizations of the ladder operators of a [Formula: see text]-oscillator algebra in terms of the Askey–Wilson operator. For [Formula: see text]-deformed coherent states associated with a disc in the radius [Formula: see text], we obtain a compact form in [Formula: see text]-representation by using the generating function of the continuous [Formula: see text]-Hermite polynomials, too. In this way, we obtain a [Formula: see text]-difference realization for the [Formula: see text]-oscillator algebra in the finite interval [Formula: see text] as a [Formula: see text]-generalization of known differential formalism with respect to [Formula: see text] in the interval [Formula: see text] of the simple harmonic oscillator.

scholarly journals Path integral evaluation of equilibrium isotope effects

2009 ◽  
Vol 131 (2) ◽  
pp. 024111 ◽  
Author(s):  
Tomáš Zimmermann ◽  
Jiří Vaníček
Keyword(s):  
Path Integral ◽  
Isotope Effects ◽  
Integral Evaluation
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