tag:blogger.com,1999:blog-5439168179960787195.post134684509084566727..comments2024-03-28T17:13:01.117+10:00Comments on Condensed concepts: A good place to start a many-body theoryRoss H. McKenziehttp://www.blogger.com/profile/09950455939572097456noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5439168179960787195.post-85284585925556556292010-03-17T18:16:38.808+10:002010-03-17T18:16:38.808+10:00The Hartree-Fock approach is actually much more ge...The Hartree-Fock approach is actually much more general than Slater determinants. See e.g. Tishby and Levine. A Self-Consistent Field Procedure for Stationary States Using An Algebraic Approach and the Maximum Entropy Principle. Chemical Physics Letters (1984) vol. 104 (1) pp. 4-8. <br /><br />The Hartree-Fock Hamiltonian is derived here for the state that maximizes the von Neumann entropy subject to constraints on the one-electron observables. <br /><br />If the state is constrained to ALSO be an N-electron pure state, then the state is a Slater determinant. If this constraint is NOT required, then the Hartree-Fock Hamiltonian may still apply. This suggests that the Hartree-Fock Hamiltonian is more general than the case of a closed isolated system (i.e. it is more general than Schrodinger equation).<br /><br />Either I am raving mad, or this is really important but widely ignored.Seth Olsenhttps://www.blogger.com/profile/09304457461800104790noreply@blogger.com