Heisenberg limit for displacements with semiclassical states
نویسندگان
چکیده
منابع مشابه
Semiclassical limit for mixed states with singular and rough potentials
We consider the semiclassical limit for the Heisenberg-von Neumann equation with a potential which consists of the sum of a repulsive Coulomb potential, plus a Lipschitz potential whose gradient belongs to BV ; this assumption on the potential guarantees the well posedness of the Liouville equation in the space of bounded integrable solutions. We find sufficient conditions on the initial data t...
متن کاملSemiclassical description of Heisenberg models via spin–coherent states
We use spin–coherent states as a time-dependent variational ansatz for a semiclassical description of a large family of Heisenberg models. In addition to common approaches we also evaluate the square variance 〈H2〉 − 〈H〉2 of the Hamiltonian in terms of coherent states. This quantity turns out to have a natural interpretation with respect to timedependent solutions of the equations of motion and ...
متن کاملSymmetry of Bound and Antibound States in the Semiclassical Limit
(2) HV def = −∂ x + V (x), on R, or on [0,∞) with Dirichlet or Neumann boundary conditions. The resonances or scattering poles of HV are defined as the poles of the meromorphic continuation of the resolvent, RV (λ) = (HV − λ ), from Imλ > 0, to C. Except for the poles at λ for which λ are eigenvalues of HV , RV (λ) is bounded on L 2 for Imλ > 0. Its Schwartz kernel, that is the Green function, ...
متن کاملCoherent States, Dynamics and Semiclassical Limit on Quantum Groups
Coherent states on the quantum group SUq(2) are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit q → 1 is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit is emphasized. An approach to q-deformation as a q-Weyl quantization and a relavence of co...
متن کاملSemiclassical States for Constrained Systems
Abstract The notion of semi-classical states is first sharpened by clarifying two issues that appear to have been overlooked in the literature. Systems with linear and quadratic constraints are then considered and the group averaging procedure is applied to kinematical coherent states to obtain physical semi-classical states. In the specific examples considered, the technique turns out to be su...
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: Physical Review A
سال: 2004
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.69.044101