The aim of this work is to derive logarithmic Sobolev inequalities, with respect to the Fock vacuum state and for the second quantized Hamiltonian dÎ(Há´§-Î¼I) of an ideal Bose gas with Dirichlet boundary conditions in a finite volume Ë from the free energy variation with respect to a Gibbs temperature state and from the monotonicity of the relative entropy. Hypercontractivity of the semigroup e-Î²dÎ(HË) is also deduced.
|Titolo:||Logarithmic Sobolev Inequalities for an Ideal Bose Gas|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||02.1 Contributo in Volume|