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Green Function Monte Carlo Method for Excited States of Quantum System
Author(s) -
Taksu Cheon
Publication year - 1996
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.96.971
Subject(s) - physics , quantum monte carlo , monte carlo method , excited state , imaginary time , discretization , statistical physics , eigenvalues and eigenvectors , hybrid monte carlo , function (biology) , monte carlo integration , sine , diffusion monte carlo , monte carlo molecular modeling , quantum mechanics , quantum , open quantum system , mathematical analysis , markov chain monte carlo , mathematics , supersymmetric quantum mechanics , statistics , geometry , evolutionary biology , biology
A novel scheme to solve the quantum eigenvalue problem through theimaginary-time Green function Monte Carlo method is presented. This method isapplicable to the excited states as well as to the ground state of a genericsystem. We demonstrate the validity of the method with the numerical exampleson three simple systems including a discretized sine-Gordon model.Comment: RevTeX 5pg with 3 epsf figure

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