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217
Invariant Cantor manifolds of quasiperiodic oscillations for a nonlinear Schr6dinger equation
"... This paper is concerned with the nonlinear Schrödinger equation iut = uxx − mu − f (u2)u, (1) on the finite xinterval [0, π] with Dirichlet boundary conditions u(t, 0) = 0 = u(t, π), − ∞ < t < ∞. ..."
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Cited by 83 (2 self)
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This paper is concerned with the nonlinear Schrödinger equation iut = uxx − mu − f (u2)u, (1) on the finite xinterval [0, π] with Dirichlet boundary conditions u(t, 0) = 0 = u(t, π), − ∞ < t < ∞.
Quantum Equilibrium and the Origin of Absolute Uncertainty
, 1992
"... The quantum formalism is a "measurement" formalisma phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system of ..."
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Cited by 167 (52 self)
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The quantum formalism is a "measurement" formalisma phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system
ALLORDERS WORMHOLE VERTEX OPERATORS FROM THE WHEELERDEWITT EQUATION
, 1992
"... We discuss the calculation of semiclassical wormhole vertex operators from wave functions which satisfy the WheelerdeWitt equation and momentum constraints, together with certain ‘wormhole boundary conditions’. We consider a massless minimally coupled scalar field, initially in the spherically sym ..."
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Cited by 1 (0 self)
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We discuss the calculation of semiclassical wormhole vertex operators from wave functions which satisfy the WheelerdeWitt equation and momentum constraints, together with certain ‘wormhole boundary conditions’. We consider a massless minimally coupled scalar field, initially in the spherically
c ○ World Scientific Publishing Company WHEELERDEWITT EQUATION WITH VARIABLE CONSTANTS.
, 2001
"... In this paper we study how all the physical “constants ” vary in the framework described by a model in which we have taken into account the generalize conservation principle for its stressenergy tensor. This possibility enable us to take into account the adiabatic matter creation in order to get ri ..."
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rid of the entropy problem. We try to generalize this situation by contemplating multifluid components. To validate all the obtained results we explore the possibility of considering the variation of the“constants ” in the quantum cosmological scenario described by the WheelerDeWitt equation
Time decay for solutions of Schrödinger equations with rough and timedependent potentials.
, 2001
"... In this paper we establish dispersive estimates for solutions to the linear SchrSdinger equation in three dimension (0.1) 1.0tO  A0 + Vb = 0, O(s) = f where V(t, x) is a timedependent potential that satisfies the conditions suPllV(t,.)llL(R) + sup f f IV(*'x)l drdy < Co. ..."
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Cited by 114 (14 self)
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In this paper we establish dispersive estimates for solutions to the linear SchrSdinger equation in three dimension (0.1) 1.0tO  A0 + Vb = 0, O(s) = f where V(t, x) is a timedependent potential that satisfies the conditions suPllV(t,.)llL(R) + sup f f IV(*'x)l drdy < Co.
Schr\"odinger evolution equations and associated smoothing effect
"... Abstract. We shall review auther’s recent results on the existence, uniqueness, regularity and the smoothing property of a unitary propagator $U(t, s) $ : $u(s)arrow u(t) $ in $H=L^{2}(R^{n}) $ for time dependent Schr\"odinger equations in an external electromagnetic field. Potentials are assu ..."
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Abstract. We shall review auther’s recent results on the existence, uniqueness, regularity and the smoothing property of a unitary propagator $U(t, s) $ : $u(s)arrow u(t) $ in $H=L^{2}(R^{n}) $ for time dependent Schr\"odinger equations in an external electromagnetic field. Potentials
Wave Front Set for Solutions to Schr\"odimger Equations
"... In this note, we discuss the wave front set for solutions to Schrodinger equation with variable coefficients. It is wellknown that the propagation speed of the wave front set of solutions to Schr\"odinger equation is infinite, and hence we cannot expect the usual propagation theorem such as fo ..."
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In this note, we discuss the wave front set for solutions to Schrodinger equation with variable coefficients. It is wellknown that the propagation speed of the wave front set of solutions to Schr\"odinger equation is infinite, and hence we cannot expect the usual propagation theorem
OSCILLATORY INTEGRALS WITH NONHOMOGENEOUS PHASE FUNCTIONS RELATED TO SCHR ¨ODINGER EQUATIONS
"... ABSTRACT. In this paper we consider solutions to the free Schrödinger equation in n + 1 dimensions. When we restrict the last variable to be a smooth function of the first n variables we find that the solution, so restricted, is locally in L2, when the initial data is in an appropriate Sobolev spac ..."
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Cited by 1 (0 self)
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ABSTRACT. In this paper we consider solutions to the free Schrödinger equation in n + 1 dimensions. When we restrict the last variable to be a smooth function of the first n variables we find that the solution, so restricted, is locally in L2, when the initial data is in an appropriate Sobolev
Matrix Numerov method for solving Schr€odinger’s equation,”
 Am. J. Phys.
, 2012
"... Abstract We recast the wellknown Numerov method for solving Schrödinger's equation into a representation of the kinetic energy operator on a discrete lattice. With just a few lines of Mathematica code, it is simple to calculate and plot accurate eigenvalues and eigenvectors for a variety of p ..."
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Cited by 1 (1 self)
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Abstract We recast the wellknown Numerov method for solving Schrödinger's equation into a representation of the kinetic energy operator on a discrete lattice. With just a few lines of Mathematica code, it is simple to calculate and plot accurate eigenvalues and eigenvectors for a variety
Results 1  10
of
217