Absolutely continuous spectrum of one-dimensional random Schrödinger operators and hamiltonian systems

1988 ◽  
pp. 195-205
Author(s):  
S. Kotani
Keyword(s):  
Continuous Spectrum ◽  
Hamiltonian Systems ◽  
Schrödinger Operators ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
Absolutely Continuous Spectrum ◽  
Absolutely Continuous ◽  
One Dimensional

NOTE TO THE PAPER BY P. D. HISLOP AND S. NAKAMURA: STARK HAMILTONIAN WITH UNBOUNDED RANDOM POTENTIALS

1993 ◽  
Vol 05 (02) ◽  
pp. 453-456 ◽  
Author(s):  
GÜNTER STOLZ
Keyword(s):  
Continuous Spectrum ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Absolutely Continuous Spectrum ◽  
Random Potentials ◽  
Absolutely Continuous ◽  
One Dimensional

A physically non-satisfactory assumption in a result of Hislop and Nakamura [3] on the absence of absolutely continuous spectrum for one-dimensional Schrödinger operators is shown to be removable.

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