scholarly journals On spectral theory for Schrödinger operators with strongly singular potentials

2006 ◽  
Vol 279 (9-10) ◽  
pp. 1041-1082 ◽  
Author(s):  
Fritz Gesztesy ◽  
Maxim Zinchenko
Keyword(s):  
Spectral Theory ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Singular Potentials ◽  
Strongly Singular Potentials

scholarly journals Commutation methods for Schrödinger operators with strongly singular potentials

2011 ◽  
Vol 285 (4) ◽  
pp. 392-410 ◽  
Author(s):  
Aleksey Kostenko ◽  
Alexander Sakhnovich ◽  
Gerald Teschl
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Singular Potentials ◽  
Strongly Singular 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.

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