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On the Magnetic Laplacian with a Piecewise Constant Magnetic Field in. R3
EL Giacomelli - Quantum Mathematics I, 2023 - Springer
We study a Schrödinger operator in. R3+:={x∈ R3| x=(x1, x2, x3), x2> 0} with a magnetic
field admitting a piecewise constant strength and a uniform direction. We review some …
field admitting a piecewise constant strength and a uniform direction. We review some …
Quantum systems at the brink
We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger
operators that also works at the threshold of the essential spectrum. It can be viewed as a …
operators that also works at the threshold of the essential spectrum. It can be viewed as a …
On the ground state of lattice Schr\"{o} dinger operators
We prove necessary and sufficient conditions for lattice Schr\"{o} dinger operators to have a
zero energy bound state in arbitrary dimension. The two criteria are sharp, complementary …
zero energy bound state in arbitrary dimension. The two criteria are sharp, complementary …