On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene
DOI10.1063/5.0147461zbMath1521.81502MaRDI QIDQ6080745
Emmanuel A. Pereira, Oswaldo M. Del Cima, Daniel H. T. Franco, Magno Branco Alves
Publication date: 4 October 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fermionic systems in quantum theory (81V74)
Cites Work
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- Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot
- Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
- Schrödinger operators with magnetic fields. I: General interactions
- Stability and instability of relativistic electrons in classical electromagnetic fields
- On electrons and nuclei in a magnetic field
- A Lieb-Thirring bound for a magnetic Pauli Hamiltonian
- An uncertainty principle for fermions with generalized kinetic energy
- Hardy-Lieb-Thirring inequalities for fractional Pauli operators
- Magnetic Lieb-Thirring inequalities
- On the Lieb-Thirring estimates for the Pauli operator
- Magnetic lieb-thirring inequalities with optimal dependence on the field strength
- Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
- Box dimension, oscillation and smoothness in function spaces
- On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- ON THE ZERO MODES OF WEYL–DIRAC OPERATORS AND THEIR MULTIPLICITY
- The Stability of Matter in Quantum Mechanics
- Stability of Matter in Magnetic Fields
- On the interaction of two electrons
- On moments of negative eigenvalues for the Pauli operator
- Spectral properties of rotationally symmetric massless Dirac operators
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