Schrödinger equation with potential function vanishing exponentially fast
نویسندگان
چکیده
منابع مشابه
Schrödinger equation of general potential
It is well known that the Schrödinger equation is only suitable for the particle in common potential V (~r, t). In this paper, a general Quantum Mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential V (~r, ~̇r, t). We think these new quantum wave equations can be applied in many fields. PACS numbers:...
متن کاملA fast eikonal equation solver using the Schrödinger wave equation
Abstract. We use a Schrödinger wave equation formalism to solve the eikonal equation. We show that a solution to the eikonal equation is obtained in the limit as ~ → 0 of the solution to the corresponding linear Schrödinger equation. The Schrödinger equation corresponding to the eikonal turns out to be a generalized, screened Poisson equation. Despite being linear, it does not have a closed-for...
متن کاملFast Communication Burgers’ Equation with Vanishing Hyper-viscosity∗
We prove that bounded solutions of the vanishing hyper-viscosity equation, ut + f(u)x + (−1)sε∂2s x u = 0 converge to the entropy solution of the corresponding convex conservation law ut +f(u)x = 0, f ′′ > 0. The hyper-viscosity case, s > 1, lacks the monotonicity which underlines the Krushkov BV theory in the viscous case s = 1. Instead we show how to adapt the Tartar-Murat compensated compact...
متن کاملPseudotime Schrödinger equation with absorbing potential for quantum scattering calculations.
The Schrödinger equation (Hpsi) (r) = [E+u(E)W(r)]psi(r) with an energy-dependent complex absorbing potential -u(E)W(r), associated with a scattering system, can be reduced for a special choice of u(E) to a harmonic inversion problem of a discrete pseudotime correlation function y(t) = phi(T)U(t)phi. An efficient formula for Green's function matrix elements is also derived. Since the exact prop...
متن کاملThe Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential
The nonlinear Schrödinger equation with general nonlinearity of polynomial growth and harmonic confining potential is considered. More precisely, the confining potential is strongly anisotropic; i.e., the trap frequencies in different directions are of different orders of magnitude. The limit as the ratio of trap frequencies tends to zero is carried out. A concentration of mass on the ground st...
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: Journal of Taibah University for Science
سال: 2019
ISSN: 1658-3655
DOI: 10.1080/16583655.2019.1616905