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What is the boundary condition for radial wave function of the Schrödinger equation ?
Schrodinger equation radial equation boundary condition singular potentials
2010/10/20
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...
Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation
Schrö dinger equation Canonical Function Method
2010/3/10
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...
A Unified and Explicit Construction
of N-Soliton Solutions for the Nonlinear Schrödinger Equation
Schrö dinger equation N-fold Darboux transformation
N-soliton solutions
2007/8/15
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, ...
A Method to Solve the Schrödinger Equation for Any Power
Hypercentral Potentials
power hypercenteral potential Shrö dinger equation
2007/8/15
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...
Coordinate Transformation and Exact Solutions of Schrödinger
Equation with Position-Dependent Effective Mass
coordinate transformation Schrö dinger equation
position-dependent mass eigenfunction special functions
2007/8/15
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...
Applications of Extended Hyperbolic Function Method for Quintic
Discrete Nonlinear Schrödinger Equation
extended hyperbolic function method quintic discrete
nonlinear Schrö dinger equation discrete solitons alternating phase
2007/8/15
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...
Periodic Waves of a Discrete Higher Order Nonlinear Schrödinger Equation
discrete higher-order nonlinear Schrö dinger equation
discrete Hirota equation elliptic function solutions
2007/8/15
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 ...
Optical Solitary Waves in Fourth-Order Dispersive Nonlinear
Schrödinger Equation with Self-steepening and Self-frequency Shift
fourth-order dispersive nonlinear Schrö dinger equation bright optical
solitary wave dark optical solitary wave
2007/8/15
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...
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
higher-order nonlinear Schrö dinger equation
atmospheric dynamics bright solitary wave dark solitary wave
2007/8/15
2006Vol.45No.3pp.573-576DOI:
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
HUANG Fei,1,2 TANG Xiao-Yan,1 and LOU Sen-Yue1,3
...
The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients
cubic-quintic nonlinear Schrö dinger equation with
variable coefficients homogeneous balance principle solitary wave
2007/8/15
2006Vol.45No.2pp.343-346DOI:
The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients
ZHANG Jin-Liang,1 WANG Ming-Liang,1,2 and LI Xiang...
Exact Solution to (1+1)-Dimensional Higher-Order Schrödinger Equation via an Extended Mapping Approach
extended mapping approach Schrö dinger equation exact solution
2007/8/15
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...
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
extended NLSE generally
projective Riccati equation method soliton solutions optical fiber
2007/8/15
2006Vol.45No.1pp.131-134DOI:
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
BAI Cheng-Lin, ZHAO Hong, and Wang Wei-Tao
Physica...
New Exact Envelope Traveling Wave Solutions of High-Order Dispersive
Cubic-Quintic Nonlinear Schrödinger Equation
trial equation method exact solution nonlinear Schrö dinger equation
2007/8/15
2005Vol.44No.5pp.799-801DOI:
New Exact Envelope Traveling Wave Solutions of High-Order Dispersive
Cubic-Quintic Nonlinear Schrödinger Equation
LIU Cheng-Shi
Departm...
Hamiltonian Formalism of the Derivative Nonlinear Schrödinger Equation
soliton Hamiltonian theory nonlinear equation
2007/8/15
2003Vol.39No.2pp.181-188DOI:
Hamiltonian Formalism of the Derivative Nonlinear Schrödinger Equation
CAI Hao, LIU Feng-Min, and HUANG Nian-Ning
Department of Physics...
Wronskian Approach and One-Dimensional Schrödinger Equation
with Double-Well Potential
double-well potential Wronskian determinant
2007/8/15
2003Vol.39No.1pp.21-26DOI:
Wronskian Approach and One-Dimensional Schrödinger Equation
with Double-Well Potential
QIU Jian1 and SU Ru-Keng1,2
1 Department of Physic...