Ground states for fractional magnetic operators

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ground States for the Fractional Schrödinger Equation

In this article, we show the existence of ground state solutions for the nonlinear Schrödinger equation with fractional Laplacian (−∆)u+ V (x)u = λ|u|u in R for α ∈ (0, 1). We use the concentration compactness principle in fractional Sobolev spaces Hα for α ∈ (0, 1). Our results generalize the corresponding results in the case α = 1.

متن کامل

Fractional Quantum Hall Effect States as Exact Ground States

We construct many particle Hamiltonians for which the Laughlin and Jain wavefunctions are exact ground states. The Hamiltonians involve fermions in a magnetic field and with inter-particle interactions. For the Laughlin wave-functions and unprojected Jain wave-functions, the interactions involve twoand three-body correlations similar to the Chern-Simons interactions, whereas for the projected J...

متن کامل

Degenerate and Non - Degenerate Ground States for Schrdinger Operators

In the study of quantum mechanical energy operators, particular attention is paid to the question of whether the bottom of the spectrum is an eigenvalue and whether that eigenvalue is simple. The corresponding eigenvector is usually called the gound state. Throughout our discussion we will say that a self-adjoint operator H has no ground state degeneracy when either E inf spectrum H is not an e...

متن کامل

Supplementary Information For: 'spontaneous Skyrmion Ground States in Magnetic Metals'

Supplementary information for our manuscript, entitled 'Spontaneous Skyrmion Ground States of Magnetic Metals', cond-mat/0603103, is presented. The physical nature of the gradient terms of our generalized micromagnetic model for ferromagnets with softened longitudinal fluctuations is explained. The relationship of our micromagnetic model with the spin fluctuation theory of itinerant-electron ma...

متن کامل

On the Space of Symmetric Operators with Multiple Ground States

We study homological structure of the filtration of the space of selfadjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional complex or real Hilbert space but infinite dimensional generalizations are easily guessed.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2017

ISSN: 1292-8119,1262-3377

DOI: 10.1051/cocv/2016071