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The Ehrenfest Theorem in Quantum Field Theory

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The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

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Summary

The validity of the Ehrenfest theorem in Abelian and non-Abelian quantum field theories is examined. The gauge symmetries are taken to be unbroken. By suitably choosing the physical subspace, the above validity is proven in both the cases.

Mathematics Subject Classification (2000) 81Q05, 81T13, 81V05

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Authors and Affiliations

  1. Chennai Mathematical Institute, H1, SIPCOT IT Park, Padur Post, Siruseri, Chennai, 603103, India

    Ragavachariar Parthasarathy

Authors
  1. Ragavachariar Parthasarathy
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Corresponding author

Correspondence to Ragavachariar Parthasarathy .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of Florida, Gainesville, 32611, Florida, USA

    Krishnaswami Alladi

  2. , Department of Physics, University of Florida, Gainesville, 32611, Florida, USA

    John R. Klauder

  3. , Department of Statistics, The Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Calyampudi R. Rao

Additional information

Dedicated to the memory of Prof. Alladi Ramakrishnan

Professor Alladi Ramakrishnan founded the Institute of Mathematical Sciences(MATSCIENCE) in 1962 and attracted bright young students interested in theoreticalphysics. His contributions to the theory of Stochastic processes, elementary particle physics and Generalized Clifford Algebras will be remembered forever. He was instrumental in my joining MATSCIENCE in 1977 and encouraged me till hisend in my research work. I consider it my duty to dedicate this article in his memory.

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Parthasarathy, R. (2010). The Ehrenfest Theorem in Quantum Field Theory. In: Alladi, K., Klauder, J., Rao, C. (eds) The Legacy of Alladi Ramakrishnan in the Mathematical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6263-8_32

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