Dynamical Casimir effect with Dirichlet and Neumann boundary conditions
نویسندگان
چکیده
منابع مشابه
Dynamical 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 کاملCurved planar quantum wires with Dirichlet and Neumann boundary conditions
The spectral properties of curved quantum wires with Dirichlet boundary condition were widely investigated (e.g. [1], [2], [3]). It was shown that any small curvature of the tube in dimensions 2 and 3 produces at least one positive eigenvalue below the essential spectrum threshold. The problem of the existence of such eigenvalues in the straight quantum waveguides with a combination of Dirichle...
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 کاملA structurally damped plate equation with Dirichlet-Neumann boundary conditions
We investigate sectoriality and maximal regularity in L-LSobolev spaces for the structurally damped plate equation with DirichletNeumann (clamped) boundary conditions. We obtain unique solutions with optimal regularity for the inhomogeneous problem in the whole space, in the half-space, and in bounded domains of class C. It turns out that the first-order system related to the scalar equation on...
متن کاملCasimir effect with non-local boundary conditions
Non-local boundary conditions have been considered in theoretical highenergy physics with emphasis on one-loop quantum cosmology, one-loop conformal anomalies, Bose–Einstein condensation models and spectral branes. In the present paper, for the first time in the literature, the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated f...
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 Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/36/44/011