Quantum White Noises and Free Fields-Reference-Cited by-同舟云学术

Quantum White Noises and Free Fields

Published:1998-01 Issue:01 Volume:01 Page:69-82
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Huang Zhiyuan¹,Luo Shunlong²

Affiliation:

1. Department of Mathematics, Huazhong University of Science & Technology, Wuhan, Hubei 430074, China

2. Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China

Abstract

Nuclear Wick algebra of generalized operators generated by quantum white noise is introduced in order to formulate the formal manipulations in free fields at rigorous mathematical level. Solutions of second quantized field equations and various physical observables such as energy and momenta of the fields are realized as generalized operators adn the renormalizations through Wick ordering procedure are investigated from functional analytical point of view.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025798000065

Reference10 articles.

1. The quantum theory of the emission and absorption of radiation

2. Yukawa coupling of quantum fields in two dimensions. I

3. Infinite dimensional rotations and Laplacians in terms of white noise calculus

4. Quantum white noises—White noise approach to quantum stochastic calculus

5. Decay and scattering of solutions of a nonlinear relativistic wave equation

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