"... Abstract. Sorted by: Results 11 - 20 of 983. We present and compare two different techniques to obtain the multi-phase solutions for the Schrödinger equation in the semiclassical limit. As in 3D QED, the 2D problem becomes unstable for g �gc= 1 2 leading to supercritical behavior and the socalled fall of electron to the center �=-=Landau and Lifshitz, 1981-=-�. The electronic properties of graphene stacks are discussed and vary with stacking order and number of layers. We also investigate the energy diminis ..." This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. We study numerically the time-independent vector Gross–Pitaevskii equations (VGPEs) for ground states and time-dependent VGPEs with (or without) an external driven field for dynamics describing a multicomponent Bose–Einstein condensate (BEC) at zero or a very low temperature. 2 words related to quantum mechanics: quantum physics, wave mechanics. The time-splitting spectral approximation under study is explicit, unconditionally stable and conse ..."

Similar studies are conducted for the linearized Korteweg-de Vries equation and the linear wave equation. The quantum formalism is a "measurement" formalism--a phenomenological formalism describing certain macroscopic regularities. In preparation for the numerics we scale the 3d Gross-Pitaevskii equation and obtain a four-parameter model. Indeed, the most modest attitude one could adopt towards quantum theory would appear to be that of regarding it as a phenomenological formalism, roughly analogous to the thermodynamic formalism, for......erimental front has stimulated a wave of activity on both the theoretical and the numerical front.

Shi Jin, Xiantao Li
1 Weizhu Bao, Qiang Du Coifman, for his help and guidance.
In preparation for the numerics, we scale the three-dimensional (3d) VGPEs, approximately reduce it to lower dimensions, present a continuous normalized gradient flow (CNGF) to compute ground states of multicomponent BEC, prove energy diminishing of the CNGF, which provides a mathematical justification, and discretize it by the backward Euler finite difference (BEFD), which is monotone in linear and nonlinear cases and preserves energy diminishing property in the linear case. Nonrelativistic Theory [in Russian (2002) by L D Landau, E M Lifshits Add To MetaCart. W. Ketterle, D. S. Durfee, D. M. Stamper-kurn Quantum Mechanics-Nonrelativistic Theory (Course of Theoretical Physics) by L. D. Landau and a great selection of related books, art and collectibles available now at AbeBooks.com. Quantum Mechanics-Nonrelativistic Theory: L. D. Landau: 9780080209401: Books - Amazon.ca. Quantum Theory: Concepts and Methods is a 1993 quantum physics textbook by Israeli physicist Asher Peres.

The second is the Wigner t ..." Spherical Harmonic series have many of the same wonderful properties as Fourier series, but have lacked one important thing: a numerically stable fast transform analogous to the Fast Fourier Transform. GO Downloads e-Book - Author(s): L. D. Landau Publisher: Pergamon Pr Category: Physics Date: 1981-06 Pages: 673 Language: English ISBN-10: 80209408 ISBN-13: 9780080209401 Format: pdf Book Description: Product Description: ...every page shows evidence of great mastery of the subject. Try Prime EN Hello, Sign in Account & Lists Sign in Account & Lists Orders Try Prime Cart. by by

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