Nonlinear canonical quantum system of collectively interacting particles via an exclusion-inclusion principle

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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...

متن کامل

The 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 by...

متن کامل

Quantum Systems Obeying a Generalized Exclusion - Inclusion Principle

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...

متن کامل

the 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 by...

متن کامل

An Operator Approach to the Principle of Inclusion and Exclusion

Using an operator approach we derive Sylvester-Whitworth formulae for sets A'a. By the same token we treat the problem where both sets of A's and B's are involved. Our result extends the Sylvester-Whitworth inclusion and exclusion formula to the resolution of the number of elements in exactly mi sets of A's and mi sets of B's respectively. The formula are applied to the complete graph and compl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 1998

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.58.5574