Nonlinear Gauge Transformation for a Quantum System Obeying an Exclusion-Inclusion Principle
نویسندگان
چکیده
منابع مشابه
Nonlinear Gauge Transformation for a Quantum System Obeying an Exclusion-Inclusion Principle
We introduce a nonlinear and noncanonical gauge transformation which allows the reduction of a complex nonlinearity, contained in a Schrödinger equation, into a real one. This Schrödinger equation describes a canonical system, whose kinetics is governed by a generalized Exclusion-Inclusion Principle. The transformation can be easily generalized and used in order to reduce complex nonlinearities...
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The aim of this work is to describe, at the quantum level, a many body system obeying to a generalized Exclusion-Inclusion Principle (EIP) originated by collective effects, the dynamics, in mean field approximation, being ruled by a nonlinear Schrödinger equation. The EIP takes its origin from a nonlinear kinetic equation where the nonlinearities describe interactions of different physical natu...
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Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...
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applying two definitions of the union of if-events, p. grzegorzewski gave two generalizations of the inclusion-exclusion principle for if-events.in this paper we prove an inclusion-exclusion principle for if-states based on a method which can also be used to prove grzegorzewski's inclusion-exclusion principle for probabilities on if-events.finally, we give some applications of this principle by...
متن کاملThe Inclusion-exclusion Principle for If-states
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events. In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski’s inclusion-exclusion principle for probabilities on IF-events. Finally, we give some applications of this principle ...
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ژورنال
عنوان ژورنال: Journal of Non-linear Mathematical Physics
سال: 2001
ISSN: 1402-9251
DOI: 10.2991/jnmp.2001.8.supplement.28