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135
On time evolutions associated with the nonstationary Schro”dinger equation” in L
 D. Faddeev’s Seminar on Mathematical Physics, Ed. M. SemenovTianShansky, Amer. Math. Soc. Transl
, 2000
"... The set of integrable symmetries of the nonstationary Schrödinger equation is shown to admit a natural decomposition into subsets of mutually commuting symmetries. Hierarchies of time evolutions associated with each of these subsets ultimately lead to nonlinear (possibly, operator) equations of the ..."
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Cited by 2 (2 self)
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The set of integrable symmetries of the nonstationary Schrödinger equation is shown to admit a natural decomposition into subsets of mutually commuting symmetries. Hierarchies of time evolutions associated with each of these subsets ultimately lead to nonlinear (possibly, operator) equations
Renormalized Perturbation Theory for Quartic Anharmonic Oscillator
, 1999
"... this paper, we investigate the Schro# dinger equation for the anharmonic oscillator ..."
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this paper, we investigate the Schro# dinger equation for the anharmonic oscillator
On the Derivation of the TimeDependent Equation of Schro dinger
, 2000
"... Few have done more than Martin Gutzwiller to clarify the connection between classical timedependent motion and the timeindependent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the timedependent Schro dinger equation in this volume de ..."
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Few have done more than Martin Gutzwiller to clarify the connection between classical timedependent motion and the timeindependent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the timedependent Schro dinger equation in this volume
Copyright © 2011 SciRes. AM Orbital Stability of Solitary Waves for Generalized KleinGordonSchrödinger Equations
, 2011
"... This paper concerns the orbital stability for exact solitary waves of the Generalized KleinGordonSchrödinger equations. Since the abstract results of Grillakis et al. [1,2] can not be applied directly, we can extend the abstract stability theory and use the detailed spectral analysis to obtain th ..."
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This paper concerns the orbital stability for exact solitary waves of the Generalized KleinGordonSchrödinger equations. Since the abstract results of Grillakis et al. [1,2] can not be applied directly, we can extend the abstract stability theory and use the detailed spectral analysis to obtain
Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the SelfInduced ParityTime Symmetric Potential
"... In this paper, I construct a generalized Darboux transformation for the nonlocal nonlinear Schrödinger equation with the selfinduced paritytime symmetric potential. The Norder rational solution is derived by the iterative rule and it can be expressed by the determinant form. In particular, I ca ..."
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In this paper, I construct a generalized Darboux transformation for the nonlocal nonlinear Schrödinger equation with the selfinduced paritytime symmetric potential. The Norder rational solution is derived by the iterative rule and it can be expressed by the determinant form. In particular, I
msp STRICHARTZ ESTIMATES ON ASYMPTOTICALLY HYPERBOLIC MANIFOLDS
"... We prove local in time Strichartz estimates without loss for the restriction of the solution of the Schrödinger equation, outside a large compact set, on a class of asymptotically hyperbolic manifolds. 1. The results 1 2. The strategy of the proof of Theorem 1.2 7 3. Estimates on the geodesic flow ..."
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We prove local in time Strichartz estimates without loss for the restriction of the solution of the Schrödinger equation, outside a large compact set, on a class of asymptotically hyperbolic manifolds. 1. The results 1 2. The strategy of the proof of Theorem 1.2 7 3. Estimates on the geodesic flow
Coulombattenuated exchange energy density functionals
, 1996
"... Exact and local spin density approximation (LSDA) exchange energy density functionals in the Coulombattenuated Schro $ dinger equation (CASE) approximation are constructed. When expressed as asymptotic series in the attenuation parameter x, their leading terms are identical. If a Gaussian basis set ..."
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Cited by 4 (0 self)
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Exact and local spin density approximation (LSDA) exchange energy density functionals in the Coulombattenuated Schro $ dinger equation (CASE) approximation are constructed. When expressed as asymptotic series in the attenuation parameter x, their leading terms are identical. If a Gaussian basis
Abstract
, 2000
"... We consider the DirichlettoNeumann map associated to the Schrö– dinger equation with a potential on a bounded domain Ω ⊂ R n,n ≥ 3. We show that the integral of the potential over a twoplane Π is determined by the values of the integral kernel of the DirichlettoNeumann map on any open subset O ..."
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We consider the DirichlettoNeumann map associated to the Schrö– dinger equation with a potential on a bounded domain Ω ⊂ R n,n ≥ 3. We show that the integral of the potential over a twoplane Π is determined by the values of the integral kernel of the DirichlettoNeumann map on any open subset O
Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation
"... Faraday waves are described, under appropriate conditions, by a damped nonlocal parametrically driven nonlinear Schrödinger equation. As the strength of the applied forcing increases this equation undergoes a sequence of transitions to chaotic dynamics. The origin of these transitions is explained ..."
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Faraday waves are described, under appropriate conditions, by a damped nonlocal parametrically driven nonlinear Schrödinger equation. As the strength of the applied forcing increases this equation undergoes a sequence of transitions to chaotic dynamics. The origin of these transitions is explained
Physica B 296 (2001) 107}111 SchroK dinger equation with imaginary potential
"... We numerically investigate the solution of the SchroK dinger equation in a onedimensional system with gain. The gain is introduced by adding a positive imaginary potential in the system. We "nd that the timeindependent solution gives that the ampli"cation suppresses wave transmission at ..."
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We numerically investigate the solution of the SchroK dinger equation in a onedimensional system with gain. The gain is introduced by adding a positive imaginary potential in the system. We "nd that the timeindependent solution gives that the ampli"cation suppresses wave transmission
Results 1  10
of
135