Titlebook: Quantum Mechanics in Mathematics, Chemistry, and Physics; Karl E. Gustafson,William P. Reinhardt Book 1981 Plenum Press, New York 1981 Ger

alabaster

Problems in the Semiclassical Quantization of Integrable and Nonintegrable Classical Dynamical Systlved for a large class of integrable systems where classical trajectories are confined to Lagrangian manifolds which are topologically N-tori in the 2N dimensional phase space. In this paper we explore two cases where this quantization procedure breaks down. This occurs if the dynamics are nonintegr

Accord

One-Dimensional Crystals in an External Field,roup have meromorphic continuations from Im z > 0 to the whole complex plane. The poles of these continuations are restricted to a discrete set independent of the analytic vectors chosen. Certain random potentials corresponding to an infinite number of particles distributed on the points of a Poisso

朋黨派系

羅盤

Irreversibility and Stochasticity of Chemical Processes, representation ∧ in which there is no information loss under either a or ∧ or ∧. and yet such that the transformed process W*. = ∧U.∧. is no longer deterministic? We show the answer is no. Lemma: Let ∧ be a closed operator in L. (Ω,s,μ) with domain and range containing the characteristic functions

圣歌

剝削

變形

moribund

,A Nonlinear Schr?dinger Equation Yielding the “Shape of Molecules” by Spontaneous Symmetry Breakingference between the lowest two energy levels is below a certain critical value (determined by the free-molecule Coulomb Hamiltonian), then the coupling of the molecule to the quantized radiation field yields two symmetry-broken effective ground states of the molecule (one is the mirror image of the

folliculitis

Total Cross Sections in Non-Relativistic Scattering Theory,two neutral clusters decays sufficiently fast to imply finite total cross sections for atom-atom scattering..We reexamine the definitions of classical and quantum cross sections to discuss some puzzling discrepancies.

惡名聲