alabaster 发表于 2025-3-23 12:45:55
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 nonintegrAccord 发表于 2025-3-23 17:12:58
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朋党派系 发表于 2025-3-23 19:02:49
http://reply.papertrans.cn/79/7814/781337/781337_13.png罗盘 发表于 2025-3-24 01:38:03
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 发表于 2025-3-24 03:35:28
http://reply.papertrans.cn/79/7814/781337/781337_15.png剥削 发表于 2025-3-24 10:29:52
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http://reply.papertrans.cn/79/7814/781337/781337_17.pngmoribund 发表于 2025-3-24 18:31:52
,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 thefolliculitis 发表于 2025-3-24 20:21:02
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.恶名声 发表于 2025-3-25 02:12:51
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