Simplifying the Electronic Schr¨odinger Equation
Schr¨odinger Equation and the Quantization of Celestial Systems
... Scientific Electronic Preprint Server, ...generalize Schr ¨odinger equation to describe quantization of celestial ...of Schr¨odinger equation from ...
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A Schr¨odinger Equation for Solving the Riemann Hypothesis
... resulting Schr¨ odinger equation is performed, and a convergent solution for the nontrivial zeros of the analytic continuation of the Riemann zeta function is ...
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Numerical Solution of Time-Dependent Gravitational Schr ¨odinger Equation
... gravitational Schr¨odinger equation, including Rubcic & Rubcic’s method and also Nottale’s Scale Relativity ...gravitational Schr ¨odinger equation ...gravitational ...
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Covariance of the Schr¨ odinger equation under low velocity boosts.
... that Schr¨odinger wave functions are not covari- ant under Galilean ...the Schr¨odinger group and claim Galilean invariance of the Schr¨odinger wave ...the ...
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ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION
... nonlinear Schr¨ odinger equation (d-NLS equation) are ...d-NLS equation is introduced in order to make ...d-NLS equation and the analytical solutions are compared with the ...
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OF MAGNETIC SCHR ¨ ODINGER OPERATORS
... 3.2. We are now in a position to prove the main theorem. The lemma below is proved in almost the same way as in the proof of [7, Lemma 4.6]. We skip its proof. Lemma 3.5. Assume the same assumptions as in Theorem 1.1. ...
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Algorithm for computing a wave packet evolution of the time-dependent Schr¨ odinger equation
... time-dependent Schr¨ odinger equation on a finite time interval is pre- ...time-dependent Schr¨ odinger equa- tion for the P¨ oschl-Teller two-center problem is used to illustrate an ...
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Schr¨odinger Equation for a Half Spin Electron in a Time Dependent Magnetic Field
... We now deal with time-independent ˜θ and time-dependent ˜ φ, so that ˜θ = θ = constant. As eigenvalues of the operator C we get (see the last page for equation (38)), which correspond to the energies of the lower ...
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A NUMERICAL STUDY OF SCHR ODINGER EQUATION COUPLED WITH NEWTONIAN GRAVITY APPROVED BY DISSERTATION COMMITTEE:
... Chapter 6 Conclusion There are several conclusions from this work. One is that time dependent numerical solutions of three dimensional PDEs require careful planning and study. As one has seen, the coupling of the ...
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Krylov Subspace Spectral Methods for the Time-Dependent Schr¨odinger Equation with Non-Smooth Potentials
... Abstract—This paper presents modifications of Krylov Subspace Spectral (KSS) Methods, which build on the work of Gene Golub and others per- taining to moments and Gaussian quadrature to pro- duce high-order accurate ...
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Statistical Mechanics-based Schr¨odinger treatment of Gravity
... simple Schr¨ odinger mechanism was utilized, in which his celebrated equation is solved with a potential function based on the microscopic Verlinde’s entropic force advanced in [Physica A 511 (2018) ...
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Spatial Disorder Of Coupled Discrete Nonlinear Schr¨odinger Equations
... Nonlinear Schr¨ odinger Equations Shih-Feng Shieh ∗ Abstract —In this paper, we study the spatial disorder of coupled discrete nonlinear Schr¨ odinger (CDNLS) equations with piecewise-monotone ...
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Spatial Disorder of Soliton Solutions for 2D Nonlinear Schr¨odinger Lattices
... by the construction of homoclinic/hetronic orbits. In [26], the spatial disorder in the one-dimensional NLS equations equipped with periodic/quasiperiodic trapped potentials was studied, in which a coherent structure ...
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Existence of Fractional Stochastic Schr¨odinger Evolution Equations with Potential and Optimal Controls
... Z. Yan and X. Jia are with the Department of Mathematics, Hexi Univer- sity, Zhangye, Gansu 734000, P.R. China, e-mail: [email protected]. Schr¨odinger equation for delta potentials. Wang et al. [17] ...
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Numerical solution of elliptic boundary-value problems for Schr¨ odinger-type equations using the Kantorovich method
... for Schr¨ odinger-type equations based on Kantorovich method that re- duces the initial problem to a set of boundary-value problems for a system of ordinary second-order differential equations are ...3D ...
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On the scattering theory for the cubic nonlinear. one space dimension. Schr\"odinger and Hartree type equations in. 1.
... \{ iu_{t}+ \frac{1}{2}u_{xx}=f(|u|^{2})u , (t, x)\in R^{2} u(0, x)=u_{0}(x) , x\in R , where the nonlinear interaction term is f(|u|^{2})=V*|u|^{2} , V(x)=\lambda|x|^{-\delta} , \lambda\in R , 0<\delta<1 in the ...
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On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative
... fractional Schr¨ odinger equation was discovered by Nick Laskin [13] as a result of extending the Feynman path integral, from the Brownian-like to Levy-like quantum mechanical ...fractional ...
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The Neutrosophic Logic View to Schr¨odinger’s Cat Paradox
... † Sciprint.org — a Free Scientific Electronic Preprint Server, http://www.sciprint.org E-mail: [email protected] This article discusses Neutrosophic Logic interpretation of the Schrodinger’s cat paradox. We argue ...
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SCHR ¨ ODINGER OPERATORS
... p 0 )-boundedness of commutator generated by Riesz transform associated with the Schr¨ odinger operator and BM O A type functions. By using the sharp maximal function estimates and establishing the “good-λ ...
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OF MAGNETIC SCHR ¨ ODINGER OPERATORS
... 1. Introduction In quantum mechanics, a vector potential is said to have a direct sig- nificance to particles moving in a magnetic field. This quantum effect is known as the Aharonov–Bohm effect (AB effect) ([1]). This ...
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