An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a nonlinear generalization of the Klein-Gordon equation. These generalizations were carried by introducing nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard, linear equations, are recovered in the limit q → 1. The main characteristic of this field theory consists on the fact that besides the usual
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October 2013
Research Article|
October 08 2013
Nonlinear quantum equations: Classical field theory
M. A. Rego-Monteiro;
M. A. Rego-Monteiro
Centro Brasileiro de Pesquisas Físicas and
National Institute of Science and Technology for Complex Systems
, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ, Brazil
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F. D. Nobre
F. D. Nobre
a)
Centro Brasileiro de Pesquisas Físicas and
National Institute of Science and Technology for Complex Systems
, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ, Brazil
Search for other works by this author on:
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
J. Math. Phys. 54, 103302 (2013)
Article history
Received:
September 28 2012
Accepted:
September 19 2013
Citation
M. A. Rego-Monteiro, F. D. Nobre; Nonlinear quantum equations: Classical field theory. J. Math. Phys. 1 October 2013; 54 (10): 103302. https://doi.org/10.1063/1.4824129
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