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Highly Cited

2008

Highly Cited

2008

We discuss a realization of the nonrelativistic conformal group (the Schrodinger group) as the symmetry of a spacetime. We write… Expand

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Highly Cited

2006

Highly Cited

2006

Abstract In this paper we study the problem { − Δ u + u + λ ϕ u = u p , − Δ ϕ = u 2 , lim | x | → + ∞ ϕ ( x ) = 0 , where u… Expand

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Highly Cited

2004

Highly Cited

2004

Basic Framework.- The Physical Context.- Structural Properties.- Rigorous Theory.- Existence and Long-Time Behavior.- Standing… Expand

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Highly Cited

1998

Highly Cited

1998

In this paper we study the eigenvalue problem for the Schrödinger operator coupled with the electromagnetic field E,H. The case… Expand

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Highly Cited

1987

Highly Cited

1987

Self-Adjointness.- Lp-Properties of Eigenfunctions, and All That.- Geometric Methods for Bound States.- Local Commutator… Expand

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Highly Cited

1987

Highly Cited

1987

The Cauchy problem for the nonlinear Schrodinger equation i∂ t u=Δu−F o u, u(0)=φ, on space domain R m , m≥1, is solved under the… Expand

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Highly Cited

1984

Highly Cited

1984

Abstract Various numerical methods are employed in order to approximate the nonlinear Schrodinger equation, namely: (i) The… Expand

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Highly Cited

1983

Highly Cited

1983

AbstractA sharp sufficient condition for global existence is obtained for the nonlinear Schrödinger equation
$$\begin{array}{*{20… Expand

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Highly Cited

1981

Highly Cited

1981

We prove a large number of results about atoms in constant magnetic field including (i) Asymptotic formula for the ground state… Expand

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Highly Cited

1975

Highly Cited

1975

A simple random‐walk method for obtaining ab initio solutions of the Schrodinger equation is examined in its application to the… Expand

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