Remarks on Schrödinger operators with an electric field and deterministic potentials

Matania Ben-Artzi

doi:10.1016/0022-247X(85)90154-4

Remarks on Schrödinger operators with an electric field and deterministic potentials

Matania Ben-Artzi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let H₀ = - d² dx² + F · x, H = H₀ + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H₀.

Original language	English
Pages (from-to)	333-339
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	109
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(85)90154-4
State	Published - 1 Aug 1985
Externally published	Yes

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title = "Remarks on Schr{\"o}dinger operators with an electric field and deterministic potentials",

abstract = "Let H0 = - d2 dx2 + F · x, H = H0 + V be Schr{\"o}dinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.",

author = "Matania Ben-Artzi",

year = "1985",

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doi = "10.1016/0022-247X(85)90154-4",

language = "אנגלית",

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T1 - Remarks on Schrödinger operators with an electric field and deterministic potentials

AU - Ben-Artzi, Matania

PY - 1985/8/1

Y1 - 1985/8/1

N2 - Let H0 = - d2 dx2 + F · x, H = H0 + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.

AB - Let H0 = - d2 dx2 + F · x, H = H0 + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.

UR - https://www.scopus.com/pages/publications/46549092972

U2 - 10.1016/0022-247X(85)90154-4

DO - 10.1016/0022-247X(85)90154-4

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AN - SCOPUS:46549092972

SN - 0022-247X

VL - 109

SP - 333

EP - 339

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Remarks on Schrödinger operators with an electric field and deterministic potentials

Abstract

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