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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 …
Decay properties of zero-energy resonances of multi-particle Schr\"odinger operators and why the Efimov effect does not exist for systems of particles
S Barth, A Bitter, S Vugalter - arxiv preprint arxiv:1910.04139, 2019 - arxiv.org
We consider $ N $-body Schr\" odinger operators with a virtual level at the threshold of the
essential spectrum. We show that in the case of $ N\geq 3$ particles in dimension $ n\geq3 …
essential spectrum. We show that in the case of $ N\geq 3$ particles in dimension $ n\geq3 …
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 …
Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators
S Barth, A Bitter - Documenta mathematica, 2020 - content.ems.press
We consider N-body Schrödinger operators with N≥ 3 quantum particles interacting via
short-range potentials in dimension d≥ 3, where the essential spectrum coincides with the …
short-range potentials in dimension d≥ 3, where the essential spectrum coincides with the …
[PDF][PDF] Virtual levels of multi-particle quantum systems and their implications for the Efimov effect
A Bitter - 2020 - elib.uni-stuttgart.de
In this thesis we investigate Schrödinger operators corresponding to N-particle quantum
systems in dimension d≥ 3. First, we study the lower spectral threshold of the essential …
systems in dimension d≥ 3. First, we study the lower spectral threshold of the essential …
[PDF][PDF] systems of N≥ 4particles
S Barth, A Bitter, S Vugalter - waves.kit.edu
We consider N-body Schrödinger operators with a virtual level at the threshold of the
essential spectrum. We show that in the case of N≥ 3 particles in dimension n≥ 3 virtual …
essential spectrum. We show that in the case of N≥ 3 particles in dimension n≥ 3 virtual …