Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions
نویسندگان
چکیده
منابع مشابه
Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions
We study density correlation functions for an impenetrable Bose gas in a finite box, with Neu-mann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M...
متن کاملDynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions
We study the time and temperature dependent correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions 〈ψ(x1, 0)ψ(x2, t)〉±,T . We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. For the special case x1 = 0, we express correlation functions with Neumann boundary conditions 〈ψ(0, 0)ψ(x2, t)〉+,T , in terms ...
متن کاملCorrelation functions for an impenetrable Bose gas with Neumann or Dirichlet boundaries
We study field correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundaries. We derive the Fredholm minor determinant formulas for the correlation functions in a finite box. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which was introduced as the generalization of the fifth Painlevé equations.
متن کاملDynamical Correlation Functions for an Impenetrable Bose Gas with Open Boundary Conditions
We study the time and temperature dependent correlation functions for an impenetrable bose gas with open boundary conditions. We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. In the case of time independent ground state, our Fredholm determinant formulae degenerate to the one which have been obtained by the help of fermions [1].
متن کاملDynamical Casimir effect with Dirichlet and Neumann boundary conditions
We derive the radiation pressure force on a non-relativistic moving plate in 1+1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary conditions (BC) at the instantaneous position of the plate. We show that when the state of the field is invariant under time translations, the results derived for Dirichlet and Neumann BC are equal. We discuss the forc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1599954