scholarly journals Sharp Gaussian Estimates for Heat Kernels of Schrödinger Operators

2019 ◽  
Vol 91 (1) ◽  
Author(s):  
Krzysztof Bogdan ◽  
Jacek Dziubański ◽  
Karol Szczypkowski
Keyword(s):  
Schrödinger Operators ◽  
Heat Kernels ◽  
Schrodinger Operators ◽  
Gaussian Estimates

scholarly journals Heat kernels of generalized degenerate Schrödinger operators and Hardy spaces

2021 ◽  
Vol 280 (1) ◽  
pp. 108785
Author(s):  
The Anh Bui ◽  
Tan Duc Do ◽  
Nguyen Ngoc Trong
Keyword(s):  
Hardy Spaces ◽  
Schrödinger Operators ◽  
Heat Kernels ◽  
Schrodinger Operators

scholarly journals CLUSTER PROPERTIES OF ONE PARTICLE SCHRÖDINGER OPERATORS

1994 ◽  
Vol 06 (05) ◽  
pp. 833-853 ◽  
Author(s):  
V. KOSTRYKIN ◽  
R. SCHRADER
Keyword(s):  
Phase Shift ◽  
Schrödinger Operators ◽  
Spectral Shift ◽  
Laplace Transforms ◽  
Heat Kernels ◽  
Schrodinger Operators ◽  
Matrix Elements ◽  
S Matrix ◽  
Total Phase ◽  
Cluster Properties

Cluster properties of one particle Schrödinger operators are proved, where the potential is the sum of two terms and the center of one is moved to infinity. These cluster properties hold for the on-shell S-matrix elements, the spectral shift functions (and thus the total phase shift) as well as their Laplace transforms, i.e. the traces of the differences of appropriate heat kernels.

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