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A new approach called the Schr\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations.
We investigate the integrability of generalized nonautonomous nonlinear Schr\"odinger (NLS) equations governing the dynamics of the single- and double-component Bose-Einstein condensates (BECs). The ...
In this work, we generalize previous results about the Fractionary Schr\"{o}dinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theo...
Using a recently developed technique to solve Schr\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\"odinger equation(PDMS...
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
By solving the Schrodinger equation one obtains the whole energy spectrum, both the bound and the continuum states. If the Hamiltonian depends on a set of parameters, these could be tuned to a trans...
The mathematical physics literatures as well as quantum mechanics textbooks on spherically symmetric potentials are enormous. Despite of these there is no unique point of view about the boundary behav...
The Canonical Function Method (CFM) is a powerful accurate and fast method that solves the Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. Its vers...
2001Vol.36No.4pp.401-404DOI: A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrödinger Equation FAN En-Gui Institute of Mathematics, ...
2007Vol.48No.1pp.151-158DOI: A Method to Solve the Schrödinger Equation for Any Power Hypercentral Potentials A.A. Rajabi Physics Department, Shahrood University of...
2007Vol.47No.6pp.1001-1009DOI: Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass JU Guo-Xing,1 CAI Chang-Ying,1,2 X...
2007Vol.47No.3pp.474-478DOI: Applications of Extended Hyperbolic Function Method for Quintic Discrete Nonlinear Schrödinger Equation ZHAO Hong, HAN Ji-Guang, WANG Wei-Tao, an...
2006Vol.46No.6pp.961-965DOI: Periodic Waves of a Discrete Higher Order Nonlinear Schrödinger Equation Robert Conte1 and K.W. Chow2 1 Service de physique de l'état ...
2006Vol.45No.4pp.721-726DOI: Optical Solitary Waves in Fourth-Order Dispersive Nonlinear Schrödinger Equation with Self-steepening and Self-frequency Shift ZONG Feng-De, DAI...
2006Vol.45No.1pp.127-130DOI: Exact Solution to (1+1)-Dimensional Higher-Order Schrödinger Equation via an Extended Mapping Approach ZHU Hai-Ping,1 ZHENG Chun-Long,1,2 and FAN...

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