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math-ph2024
Lieb-Thirring inequality for the 2D Pauli operator
Rupert L. Frank, Hynek Kovařík
By the Aharonov-Casher theorem, the Pauli operator has no zero eigenvalue when the normalized magnetic flux satisfies , but it does have a zero energy resonance. We…
math-ph2021
Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two
Hynek Kovařík
We consider two-dimensional Pauli and Dirac operators with a polynomially vanishing magnetic field. The main results of the paper provide resolvent expansions of these operators in…