Density of states and transmission in the one-dimensional scattering problem

Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.

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Corrections to the one-dimensional density of states: Observation of a Coulomb gap?

Physical Review Letters ◽

10.1103/physrevlett.56.532 ◽

1986 ◽

Vol 56 (5) ◽

pp. 532-535 ◽

Cited By ~ 26

Author(s):

Alice E. White ◽

R. C. Dynes ◽

J. P. Garno

Keyword(s):

Density Of States ◽

One Dimensional ◽

Coulomb Gap ◽

The One

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Density of states of the one-dimensional disordered quantum sine-Gordon system (g2 = 4π): a Monte Carlo simulation

Physics Letters A ◽

10.1016/0375-9601(95)00945-0 ◽

1996 ◽

Vol 211 (2) ◽

pp. 113-117 ◽

Cited By ~ 2

Author(s):

Hikaru Yamamoto

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Density Of States ◽

One Dimensional ◽

The One

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The direct and inverse problem in Newtonian scattering

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050002895x ◽

1991 ◽

Vol 118 (1-2) ◽

pp. 119-131 ◽

Cited By ~ 3

Author(s):

M. A. Astaburuaga ◽

Claudio Fernández ◽

Víctor H. Cortés

Keyword(s):

Inverse Problem ◽

Phase Space ◽

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Dimensional Case ◽

Classical Particle ◽

Scattering Operator ◽

One Dimensional ◽

The One

SynopsisIn this paper we study the direct and inverse scattering problem on the phase space for a classical particle moving under the influence of a conservative force. We provide a formula for the scattering operator in the one-dimensional case and we settle the properties of the potential that can be deduced from it. We also study the question of recovering the shape of the barriers which can be seen from −∞ and ∞. An example is given showing that these barriers are not uniquely determined by the scattering operator.

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On the inversion and phase recovery of scattered electromagnetic amplitude data

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1989.0130 ◽

1989 ◽

Vol 426 (1871) ◽

pp. 361-375 ◽

Cited By ~ 2

Keyword(s):

Electromagnetic Scattering ◽

Transverse Electric ◽

Complex Structure ◽

Polarization State ◽

Scattering Problem ◽

Transverse Magnetic ◽

One Dimensional ◽

Amplitude Data ◽

Transverse Magnetic Polarization ◽

The One

The one-dimensional inverse electromagnetic scattering problem for the inversion of amplitude data of either linear polarization state is investigated. The method exploits the complex structure of the field scattered from a class of inhomogeneous dielectrics and enables the analytic signal to be reconstructed from measurements of the amplitude alone. The method is demonstrated and exemplified with experimental data in both transverse electric and transverse magnetic polarization states. The implications of the method as a means for regularization of scattered data are briefly discussed.

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Random Schrödinger operators with a background potential

Random Operators and Stochastic Equations ◽

10.1515/rose-2019-2022 ◽

2019 ◽

Vol 27 (4) ◽

pp. 253-259

Author(s):

Hayk Asatryan ◽

Werner Kirsch

Keyword(s):

Inverse Scattering ◽

Density Of States ◽

Anderson Localization ◽

Scattering Problem ◽

Schrödinger Operators ◽

Inverse Scattering Problem ◽

Random Schrödinger Operators ◽

Integrated Density Of States ◽

Schrodinger Operators ◽

One Dimensional

Abstract We consider one-dimensional random Schrödinger operators with a background potential, arising in the inverse scattering problem. We study the influence of the background potential on the essential spectrum of the random Schrödinger operator and obtain Anderson localization for a larger class of one-dimensional Schrödinger operators. Further, we prove the existence of the integrated density of states and give a formula for it.

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