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On the linear forms of the Schrodinger equation
Schrodinger equation linear forms Quantum Physics
2011/10/9
Abstract: Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting fr...
Stationary Nonlinear Schrodinger Equation on Simplest Graphs: Boundary conditions and exact solutions
Nonlinear Schrodinger Equation Simplest Graphs Mathematical Physics
2011/9/29
Abstract: We treat the stationary (cubic) nonlinear Schr\"odinger equation (NSLE) on simplest graphs. Formulation of the problem and exact analytical solutions of NLSE are presented for star graphs co...
Novel Bound States Treatment of the Two Dimensional Schrodinger Equation with Pseudocentral Plus Multiparameter Noncentral Potential
Pseudocentral potentials noncentral potential two dimensional Schrodinger equation
2011/7/28
Abstract: By converting the rectangular basis potential V(x,y) into the form as V(r)+V(r, phi) described by the pseudo central plus noncentral potential, particular solutions of the two dimensional Sc...
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrodinger Equation
variable separation approach (1+1)-dimensional nonlinear models
solution of soliton
2007/8/15
2004Vol.42No.4pp.568-572DOI:
Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrodinger Equation
XU Chang-Zhi1,2 and ZHANG Jie-Fang1
1 In...