Matches in SemOpenAlex for { <https://semopenalex.org/work/W3005145152> ?p ?o ?g. }
- W3005145152 abstract "How and why may an interacting system of many particles be described assuming that all particles are independent and identically distributed ? This question is at least as old as statistical mechanics itself. Its quantum version has been rejuvenated by the birth of cold atoms physics. In particular the experimental creation of Bose-Einstein condensates directly asks the following variant: why and how can a large assembly of very cold interacting bosons (quantum particles deprived of the Pauli exclusion principle) all populate the same quantum state ? In this text I review the various mathematical techniques allowing to prove that the lowest energy state of a bosonic system forms, in a reasonable macroscopic limit of large particle number, a Bose-Einstein condensate. This means that indeed in the relevant limit all particles approximately behave as if independent and identically distributed, according to a law determined by minimizing a non-linear Schr{o}dinger energy functional. This is a particular instance of the justification of the mean-field approximation in statistical mechanics, starting from the basic many-body Schr{o}dinger Hamiltonian." @default.
- W3005145152 created "2020-02-14" @default.
- W3005145152 creator A5023783195 @default.
- W3005145152 date "2020-01-01" @default.
- W3005145152 modified "2023-09-26" @default.
- W3005145152 title "Scaling limits of bosonic ground states, from many-body to nonlinear Schrödinger" @default.
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