Imagen de Portada

Thomas-Fermi equation revisited: A variation on a theme by Majorana

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Englert, Berthold-Georg
Formato:	Preprint
Publicado:	2026
Materias:	Atomic Physics Classical Analysis and ODEs Computational Physics 34A05, 35Q99, 53C29, 81V45
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Eigenvalue bounds for Schrödinger operators on quantum graphs with $δ$-coupling conditions
por: Cao, Duc Hoang
Publicado: (2025)

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

Schrödinger equation with finitely many $δ$-interactions: closed form, integral and series representations for solutions
por: Kravchenko, Vladislav V., et al.
Publicado: (2023)

The initial-to-final-state inverse problem with unbounded potentials and Strichartz estimates
por: Caro, Pedro, et al.
Publicado: (2025)

The properties of the distribution of Gaussian packets on a spatial network
por: Chernyshev, V. L., et al.
Publicado: (2011)

Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions
por: Roque, Emmanuel, et al.
Publicado: (2025)

Quantum Systems at The Brink
por: Hundertmark, Dirk, et al.
Publicado: (2022)

Equivalence between non-commutative harmonic oscillators and two-photon quantum Rabi models
por: Nakahama, Ryosuke
Publicado: (2024)

Explicit solutions of Schrödinger and KdV equations in terms of square roots of the generalised matrix eigenvalues
por: Sakhnovich, Alexander
Publicado: (2022)

A common approach to singular perturbation and homogenization I: Quasilinear ODE systems
por: Nefedov, Nikolai N., et al.
Publicado: (2023)

Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
por: Higuchi, Kenta, et al.
Publicado: (2024)

Infinite quantum signal processing for arbitrary Szegő functions
por: Alexis, Michel, et al.
Publicado: (2024)

Classification of exceptional Jacobi polynomials
por: Garcia-Ferrero, Maria Angeles, et al.
Publicado: (2024)

Representation theory of $\mathfrak{sl}(2,\mathbb{R})\simeq \mathfrak{su}(1,1)$ and a generalization of non-commutative harmonic oscillators
por: Nakahama, Ryosuke
Publicado: (2023)

Normal Hyperbolicity in Secondary Hopf Bifurcations
por: Pereira, Pedro C. C. R., et al.
Publicado: (2025)

Stability transitions of NLS action ground-states on metric graphs
por: Agostinho, Francisco, et al.
Publicado: (2025)

Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data
por: Roque, Emmanuel, et al.
Publicado: (2025)

Harmonic locus and Calogero-Moser spaces
por: Felder, Giovanni, et al.
Publicado: (2024)

The construction of quantum mechanics from electromagnetism. Part II: the Hydrogen atom
por: Solari, Hernán Gustavo, et al.
Publicado: (2024)

$\ell^1$ mapping properties, smoothness and decay for $SU(2)$-valued nonlinear Fourier transform
por: Mnatsakanyan, Gevorg
Publicado: (2026)

Mathematical and numerical analysis of quantum signal processing
por: Lin, Lin
Publicado: (2025)

Cauchy Data for 1D singular Schrödinger operators
por: Hillairet, Luc, et al.
Publicado: (2025)

Painlevé IV, bi-confluent Heun equations and the Hankel determinant generated by a discontinuous semi-classical Laguerre weight
por: Zhu, Mengkun, et al.
Publicado: (2026)

A note on linear differential equations with variable coefficients
por: Gadella, Manuel, et al.
Publicado: (2024)

Uniform asymptotic expansions for Gegenbauer polynomials and related functions via differential equations having a simple pole
por: Dunster, T. M.
Publicado: (2022)

Exactly solvable Schrödinger operators related to the hypergeometric equation
por: Dereziński, Jan, et al.
Publicado: (2025)

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

On the Majorana solution to the Thomas-Fermi equation
por: Fernández, Francisco M., et al.
Publicado: (2021)

On the effective dynamics of Bose-Fermi mixtures
por: Cárdenas, Esteban, et al.
Publicado: (2023)

Periodicity of atomic structure in a Thomas-Fermi mean-field model
por: Bjerg, August, et al.
Publicado: (2024)

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

d-plane transform: unique and non-unique continuation
por: Agrawal, Divyansh, et al.
Publicado: (2025)

Mountain pass frozen planet orbits in the helium atom model
por: Baranzini, Stefano, et al.
Publicado: (2024)

Relativistic Exchange Bounds
por: Meng, Long, et al.
Publicado: (2024)

The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
por: Meng, Long, et al.
Publicado: (2024)

Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
por: Arakaki, Lucas Queiroz, et al.
Publicado: (2025)

Strict increase in the number of normally hyperbolic limit tori in 3D polynomial vector fields
por: Arakaki, Lucas Queiroz, et al.
Publicado: (2025)

Modified scattering for the three dimensional Maxwell-Dirac system
por: Herr, Sebastian, et al.
Publicado: (2024)

Quantizing graphs, one way or two?
por: Harrison, Jon
Publicado: (2023)

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