Wick products of the CCR algebra

2011 ◽  
Vol 284 (10) ◽  
pp. 1280-1285
Author(s):  
B. J. González ◽  
E. R. Negrin
Keyword(s):  
Ccr Algebra ◽  
Wick Products

Recursion Relation for Wick Products of the CCR Algebra

2008 ◽  
Vol 2 (3) ◽  
pp. 441-447 ◽  
Author(s):  
Benito J. González ◽  
Emilio R. Negrin
Keyword(s):  
Recursion Relation ◽  
Ccr Algebra ◽  
Wick Products

scholarly journals Hölder-Type Inequalities for Norms of Wick Products

2008 ◽  
Vol 2008 ◽  
pp. 1-22 ◽  
Author(s):  
Alberto Lanconelli ◽  
Aurel I. Stan
Keyword(s):  
Random Variable ◽  
Upper Bounds ◽  
Minimal Condition ◽  
Wick Product ◽  
Identity Operator ◽  
Second Quantization ◽  
Measurable Functions ◽  
Quantization Operator ◽  
Wick Products ◽  
Finite Moments

Various upper bounds for the L2-norm of the Wick product of two measurable functions of a random variable X, having finite moments of any order, together with a universal minimal condition, are proven. The inequalities involve the second quantization operator of a constant times the identity operator. Some conditions ensuring that the constants involved in the second quantization operators are optimal, and interesting examples satisfying these conditions are also included.

Some Norm Inequalities for Gaussian Wick Products

2010 ◽  
Vol 28 (3) ◽  
pp. 523-539 ◽  
Author(s):  
Alberto Lanconelli ◽  
Aurel I. Stan
Keyword(s):  
Norm Inequalities ◽  
Wick Products

scholarly journals Wick products of complex valued random variables

1996 ◽  
pp. 135-155
Author(s):  
Fred Espen Benth ◽  
Bernt Øksendal ◽  
Jan Ubøe ◽  
Tusheng Zhang
Keyword(s):  
Random Variables ◽  
Wick Products ◽  
Complex Valued

Computing Phase Change Front and Temperature Histories in Stochastic Media

2004 ◽  
Author(s):  
A. F. Emery ◽  
D. Bardot
Keyword(s):  
Differential Equations ◽  
Phase Change ◽  
Latent Heat ◽  
Polynomial Chaos ◽  
Perturbation Techniques ◽  
Stochastic Media ◽  
Front Position ◽  
Wick Products ◽  
Stochastic Properties

Although many phase change problems involve uncertain or stochastic properties, the computation of temperatures and front position is typically based on known properties. This paper considers the effect of uncertain or noisy properties, particularly the latent heat, and investigates the application of perturbation techniques, polynomial chaos, and Wick products in computing the temperatures and front position. These methods are dependent upon formulating the problem in a manner in which the uncertain properties appear in the differential equations and are thus limited in their applicability.

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