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Probabilistic Methods for Discrete Nonlinear Schrödinger Equations
Author(s) -
Chatterjee Sourav,
Kirkpatrick Kay
Publication year - 2012
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21388
Subject(s) - mathematics , dimension (graph theory) , nonlinear system , probabilistic logic , schrödinger's cat , nonlinear schrödinger equation , schrödinger equation , statistical physics , mathematical analysis , pure mathematics , physics , quantum mechanics , statistics
We show that the thermodynamics of the focusing cubic discrete nonlinear Schrödinger equation are exactly solvable in dimension 3 and higher. A number of explicit formulas are derived. © 2012 Wiley Periodicals, Inc.