On a Domain Characterization of Schrodinger Operators with Gradient Magnetic Vector Potentials and Singular Potentials

1989 ◽  
Vol 105 (2) ◽  
pp. 317
Author(s):  
Jerome A. Goldstein ◽  
Roman Svirsky
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Singular Potentials ◽  
Magnetic Vector ◽  
Vector Potentials

A note on the domain characterization of certain Schrödinger operators with strongly singular potentials

1984 ◽  
Vol 97 ◽  
pp. 125-130 ◽  
Author(s):  
Hubert Kalf
Keyword(s):  
Schrödinger Operators ◽  
Adjoint Operator ◽  
The Self ◽  
Alternative Proof ◽  
Schrodinger Operators ◽  
Singular Potentials ◽  
Strongly Singular Potentials

SynopsisFor β > β0: = 1 −[(n − 2)/2]2 and n ≧ 2, it was recently shown by Simon that the self-adjoint operator associated with −Δ + βr−2 in L2(ℝn) has domain H2(ℝn) ∩D(r−2) the constant β0 being the best possible. An alternative proof of this result is given.

scholarly journals A characterization of singular Schrödinger operators on the half-line

2020 ◽  
pp. 1-19
Author(s):  
Raffaele Scandone ◽  
Lorenzo Luperi Baglini ◽  
Kyrylo Simonov
Keyword(s):  
Schrödinger Operators ◽  
Half Line ◽  
Schrodinger Operators
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