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

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罗盘

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

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moribund

,A Nonlinear Schrödinger 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.

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