Cover Image

A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Corso, Thiago Carvalho
Format:	Preprint
Published:	2023
Subjects:	Mathematical Physics Functional Analysis Quantum Physics 81Q40, 81V55, 46N20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals
by: Benguria, Rafael D., et al.
Published: (2025)

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

On the relativistic effect in the Dirac--Fock theory
by: Meng, Long
Published: (2025)

On adiabatic theory for extended fermionic lattice systems
by: Henheik, Joscha, et al.
Published: (2022)

Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
by: Nguyen, Dinh-Thi, et al.
Published: (2022)

Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
by: Porat, Immanuel Ben, et al.
Published: (2022)

Hamiltonian for a Bose gas with Contact Interactions
by: Ferretti, Daniele, et al.
Published: (2024)

Local enhancement of the mean-field approximation for bosons
by: Lemm, Marius, et al.
Published: (2024)

Rigorous derivation of an effective model for periodic Schrödinger equations with linear band crossing of Dirac type
by: Danesi, Elena
Published: (2026)

Limited regularity of a specific electronic reduced density matrix for molecules
by: Jecko, Thierry, et al.
Published: (2023)

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

Abstract semiclassical analysis of the van Hove model
by: Falconi, Marco, et al.
Published: (2024)

Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
by: Falconi, Marco, et al.
Published: (2021)

Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity
by: Ferretti, Daniele, et al.
Published: (2022)

Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
by: Dietze, Charlotte, et al.
Published: (2022)

On Quantum Sobolev Inequalities
by: Lafleche, Laurent
Published: (2022)

Gaussian quantum Markov semigroups on finitely many modes admitting a normal invariant state
by: Girotti, Federico, et al.
Published: (2024)

A mathematical analysis of the GW0 method for computing electronic excited energies of molecules
by: Cancès, Eric, et al.
Published: (2015)

Self-adjoint realizations of higher-order squeezing operators
by: Fischer, Felix, et al.
Published: (2025)

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

Quantum Relative Entropy and the Mean-Field Limit
by: Guo, Gaoyue, et al.
Published: (2026)

Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
by: Hasler, David, et al.
Published: (2023)

Effective Dynamics for Weakly Interacting Bosons in an Iterated High-Density Thermodynamic Limit
by: Ferretti, Daniele, et al.
Published: (2025)

The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule
by: Bjerg, August, et al.
Published: (2025)

Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
by: Chen, Thomas, et al.
Published: (2024)

Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap
by: Henheik, Joscha, et al.
Published: (2020)

Global approximate controllability of quantum systems by form perturbations and applications
by: Balmaseda, Aitor, et al.
Published: (2024)

Light-Cone Structure of Propagation of Entanglement
by: Sigal, Israel Michael
Published: (2026)

Finite lattice kinetic equations for bosons, fermions, and discrete NLS
by: Lukkarinen, Jani, et al.
Published: (2026)

Optimal Semiclassical Regularity of Projection Operators and Strong Weyl Law
by: Lafleche, Laurent
Published: (2023)

Purified Projection Method and Uhlmann Fidelity for Mixed Hartree Dynamics
by: Liang, Hao, et al.
Published: (2026)

Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons
by: Jecko, Thierry, et al.
Published: (2024)

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)

Hamiltonians for Quantum Systems with Contact Interactions
by: Ferretti, Daniele, et al.
Published: (2024)

Vanishing of power-law corrections to Kubo's formula for the Hall current at incommensurate magnetic fields
by: Mazzini, Gabriele, et al.
Published: (2026)

Quantum Systems at The Brink
by: Hundertmark, Dirk, et al.
Published: (2022)

What is a Gaussian channel, and when is it physically implementable using a multiport interferometer?
by: Devendra, Repana, et al.
Published: (2025)

The Euclidean $ϕ^4_2$ theory as a limit of an inhomogeneous Bose gas
by: Caraci, Cristina, et al.
Published: (2026)

The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions
by: Cacciapuoti, Claudio, et al.
Published: (2025)