scholarly journals Unique Determination of a Magnetic Schrödinger Operator with Unbounded Magnetic Potential from Boundary Data

2016 ◽  
pp. rnw263 ◽  
Author(s):  
Boaz Haberman
Keyword(s):  
Schrödinger Operator ◽  
Boundary Data ◽  
Magnetic Potential ◽  
Unique Determination ◽  
Schrodinger Operator ◽  
Magnetic Schrödinger Operator

scholarly journals Ambarzumian-type Problems for Discrete Schrödinger Operators

2021 ◽  
Vol 15 (8) ◽  
Author(s):  
Burak Hatinoğlu ◽  
Jerik Eakins ◽  
William Frendreiss ◽  
Lucille Lamb ◽  
Sithija Manage ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Schrödinger Operator ◽  
Inverse Spectral Problem ◽  
Unique Determination ◽  
Schrodinger Operator ◽  
Real Constant ◽  
Discrete Schrödinger Operator ◽  
Various Boundary Conditions ◽  
Discrete Schrödinger Operators

AbstractWe discuss the problem of unique determination of the finite free discrete Schrödinger operator from its spectrum, also known as the Ambarzumian problem, with various boundary conditions, namely any real constant boundary condition at zero and Floquet boundary conditions of any angle. Then we prove the following Ambarzumian-type mixed inverse spectral problem: diagonal entries except the first and second ones and a set of two consecutive eigenvalues uniquely determine the finite free discrete Schrödinger operator.

scholarly journals Temporally stable coherent states for a free magnetic Schrödinger operator

2004 ◽  
Vol 45 (7) ◽  
pp. 2694-2717 ◽  
Author(s):  
K. Thirulogasanthar ◽  
Nasser Saad ◽  
Attila B. von Keviczky
Keyword(s):  
Schrödinger Operator ◽  
Coherent States ◽  
Schrodinger Operator ◽  
Magnetic Schrödinger Operator
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