Cover Image

A non-degeneracy theorem for interacting fermions in one dimension

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Corso, Thiago Carvalho
Format:	Preprint
Published:	2025
Subjects:	Spectral Theory Mathematical Physics Quantum Physics Primary: 81Q10 Secondary: 35J10, 81V74
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A rigorous formulation of Density Functional Theory for spinless fermions in one dimension
by: Corso, Thiago Carvalho
Published: (2025)

A quantitative Hohenberg-Kohn theorem and the unexpected regularity of density functional theory in one spatial dimension
by: Corso, Thiago Carvalho, et al.
Published: (2025)

v-representability and Hohenberg-Kohn theorem for non-interacting Schrödinger operators with distributional potentials in the one-dimensional torus
by: Corso, Thiago Carvalho
Published: (2025)

Lieb-Thirring inequalities for the shifted Coulomb Hamiltonian
by: Corso, Thiago Carvalho, et al.
Published: (2024)

A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
by: Hinrichs, Benjamin, et al.
Published: (2023)

Pointwise bounds on confined states in non-relativistic QED
by: Griesemer, M., et al.
Published: (2023)

The Quantum Rabi model: Towards Braak's conjecture
by: Rudnick, Zeév
Published: (2023)

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix
by: Sobolev, Alexander V.
Published: (2025)

Two-term asymptotics of the exchange energy of the electron gas on symmetric polytopes in the high-density limit
by: Corso, Thiago Carvalho
Published: (2023)

On the magnetic perturbation theory for Chern insulators
by: Cornean, Horia D., et al.
Published: (2025)

Commutator Estimates for Low-Temperature Fermi Gases
by: Chong, Jacky J., et al.
Published: (2026)

Magnetic transport due to a translationally invariant potential obstacle
by: Exner, Pavel, et al.
Published: (2024)

Vertex coupling interpolation in quantum chain graphs
by: Exner, Pavel, et al.
Published: (2024)

The density conjecture for Juddian points for the quantum Rabi model
by: Kumar, Rishi, et al.
Published: (2025)

Spectral transitions in some Rabi models
by: Świderski, Grzegorz, et al.
Published: (2026)

A mathematical study of periodic band inversion
by: Guo, Tyler, et al.
Published: (2026)

From orbital magnetism to bulk-edge correspondence
by: Cornean, Horia D., et al.
Published: (2021)

Effective quantum dynamics for magnetic fermions
by: Ferrero, Margherita, et al.
Published: (2024)

Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal
by: Hearnshaw, Peter
Published: (2023)

The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation
by: Maroun, Michael
Published: (2023)

The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics
by: Maroun, Michael
Published: (2021)

Weak coupling asymptotics for the Pauli operator in two dimensions
by: Baur, Matthias
Published: (2024)

The Dirichlet problem for perturbed Stark operators in the half-line
by: Toloza, Julio H., et al.
Published: (2022)

A Poincaré-Steklov map for the MIT bag model
by: Benhellal, Badreddine, et al.
Published: (2022)

A fresh look at the Peierls-Onsager substitution
by: Cornean, Horia D., et al.
Published: (2026)

A rigorous Peierls-Onsager effective dynamics for semimetals in long-range magnetic fields
by: Cornean, Horia D., et al.
Published: (2024)

Local perturbations of potential well arrays
by: Exner, Pavel, et al.
Published: (2025)

Regular Bohr-Sommerfeld rules for non-self-adjoint Berezin--Toeplitz operators and complex Lagrangian states
by: Deleporte, Alix, et al.
Published: (2025)

The Ground State Energy of a Mean-Field Fermi Gas in Two Dimensions
by: Casadei, Gregorio, et al.
Published: (2026)

Nodal count for a random signing of a graph with disjoint cycles
by: Alon, Lior, et al.
Published: (2024)

Dynamical localization and delocalization for random Schrodinger operators with $δ$-interactions in $\mathbb{R}^3$
by: Hislop, Peter D., et al.
Published: (2025)

2D Schrödinger operators with singular potentials concentrated near curves
by: Golovaty, Yuriy
Published: (2020)

On the self-adjointness of two-dimensional relativistic shell interactions
by: Benhellal, Badredine, et al.
Published: (2023)

Dynamical delocalization in disordered 2D Chern insulators
by: Panati, Gianluca, et al.
Published: (2026)

On the relativistic quantum mechanics of a photon between two electrons in 1+1 dimensions
by: Frolov, Lawrence, et al.
Published: (2023)

Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
by: Junge, Lukas
Published: (2026)

On Schrödinger operators with oblique transmission conditions on non-smooth curves
by: Benhellal, Badreddine, et al.
Published: (2024)

The c-Entropy of non-dissipative L-systems
by: Belyi, Sergey, et al.
Published: (2025)

Poisson Geometric Formulation of Quantum Mechanics
by: Sinha, Pritish, et al.
Published: (2023)

Strictly correlated electrons in a quantum ring: from Kohn-Sham to Kantorovich potentials
by: Corso, Thiago Carvalho
Published: (2026)