scholarly journals Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies

2019 ◽  
Vol 9 (4) ◽  
pp. 1223-1248
Author(s):  
Wencai Liu ◽  
Yunfeng Shi
Keyword(s):  
Schrödinger Operators ◽  
Upper Bounds ◽  
Schrodinger Operators ◽  
Spectral Gaps

scholarly journals Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials

2020 ◽  
Vol 61 (9) ◽  
pp. 091507
Author(s):  
Mark S. Ashbaugh ◽  
Derek Kielty
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Spectral Gaps ◽  
Single Well

scholarly journals Sharp Inequalities for Heat Kernels of Schrödinger Operators and Applications to Spectral Gaps

2000 ◽  
Vol 176 (2) ◽  
pp. 368-399 ◽  
Author(s):  
Rodrigo Bañuelos ◽  
Pedro J. Méndez-Hernández
Keyword(s):  
Schrödinger Operators ◽  
Heat Kernels ◽  
Schrodinger Operators ◽  
Spectral Gaps
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