Asymptotic of the density of states for the Schrödinger operator with periodic electromagnetic potential

1997 ◽  
Vol 38 (8) ◽  
pp. 4023-4051 ◽  
Author(s):  
Abderemane Mohamed
Keyword(s):  
Density Of States ◽  
Schrödinger Operator ◽  
Electromagnetic Potential ◽  
Schrodinger Operator

scholarly journals The Smoothness of Schrodinger Operator with Electromagnetic Potential

2019 ◽  
Vol 12 (4) ◽  
pp. 1441-1454
Author(s):  
Yahea Hashem Saleem ◽  
Hadeel Ali Shubber
Keyword(s):  
Schrödinger Operator ◽  
Electromagnetic Potential ◽  
Schrodinger Operator

In this paper, we prove that the Feynman-Kac It^o formula of the Schrodinger operator with electromagnetic (t; x) in equation (1) in [8] is dierentiable of the variable t, and so establish that the innitely dierentiable in a region, therefore, investigate smoothness of this function.

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