Dirac is an open and royalty-free video compression format, specification and system developed by BBC Research & Development. Schrödinger and… (More)

(More)

Semantic Scholar uses AI to extract papers important to this topic.

Highly Cited

2008

Highly Cited

2008

- W. Schlag
- 2008

In this paper we establish dispersive estimates for solutions to the linear Schrödinger equation in three dimension 1 i ∂ t… (More)

Is this relevant?

Highly Cited

2007

Highly Cited

2007

- Mark Ablowitz
- 2007

A similar type of nonlocal nonlinear Schrödinger (NLS) system arises in both water waves and nonlinear optics. The nonlocality is… (More)

Is this relevant?

Highly Cited

2004

Highly Cited

2004

- Mark J. Ablowitz
- 2004

1. Nonlinear Schrödinger equation: setup and applications The nonlinear Schrödinger (NLS) equation [1, 2, 3] is a prototypical… (More)

Is this relevant?

Highly Cited

2002

Highly Cited

2002

On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime Weizhu Bao,∗ Shi Jin,† and… (More)

Is this relevant?

Highly Cited

2001

Highly Cited

2001

We derive weighted smoothing inequalities for solutions of the free Schrödinger equation. As an application, we give a new proof… (More)

Is this relevant?

Highly Cited

1999

Highly Cited

1999

- Mario Gattobigio, Antonio Liguori, Mihail Mintchev
- 1999

The nonlinear Schrödinger equation on the half line with mixed boundary condition is investigated. After a brief introduction to… (More)

Is this relevant?

Highly Cited

1999

Highly Cited

1999

- Nathan Seiberg
- 1999

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a… (More)

Is this relevant?

Highly Cited

1998

Highly Cited

1998

- Gunther Karner
- 1998

We investigate the dynamical effects of non-stationary boundaries on the stability of a quantum Hamiltonian system described by a… (More)

Is this relevant?

Highly Cited

1995

Highly Cited

1995

- Polchinski
- Physical review letters
- 1995

We show that Dirichlet-branes, extended objects defined by mixed DirichletNeumann boundary conditions in string theory, break… (More)

Is this relevant?

Highly Cited

1995

Highly Cited

1995

- Nicole Berline, E. Getzler
- 1995

Perhaps the most famous theorem of the 1960’s, the Atiyah-Singer index theorem bears all the hallmarks of great mathematics: it… (More)

Is this relevant?