Which magnetic fields support a zero mode?

نویسندگان

چکیده

Abstract This paper presents some results concerning the size of magnetic fields that support zero modes for three-dimensional Dirac equation and related problems spinor equations. It is a well-known fact Schrödinger in three dimensions to have negative energy bound state, 3/2 {3/2} norm potential has be greater than Sobolev constant. We prove an analogous result existence modes, namely field twice The novel point here spinorial nature wave function crucial. leads improved diamagnetic inequality from which derived. While are probably not sharp, other equations analyzed where indeed optimal.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Zero modes in finite range magnetic fields

We find a class of Fermion zero modes of Abelian Dirac operators in three dimensional Euclidean space where the gauge potentials and the related magnetic fields are nonzero only in a finite space region. )email address: [email protected], [email protected] )email address: [email protected] )email address: [email protected]

متن کامل

Coupled states of electromagnetic fields with magnetic-dipolar-mode vortices: Magnetic-dipolar-mode vortex polaritons

A coupled state of an electromagnetic field with an electric or magnetic dipole-carrying excitation is well known as a polariton. Such a state is the result of the mixing of a photon with the excitation of a material. The most discussed types of polaritons are phonon polaritons, exciton polaritons, and surface-plasmon polaritons. Recently, it was shown that, in microwaves, strong magnon-photon ...

متن کامل

Fermion zero-mode influence on neutron-star magnetic field evolution

The quantum phenomena of spectral flow which has been observed in laboratory superfluids, such as He-B, controls the drift velocity of proton type II superconductor vortices in the liquid core of a neutron star and so determines the rate at which magnetic flux can be expelled from the core to the crust. In the earliest and most active phases of the anomalous X-ray pulsars and soft-gamma repeate...

متن کامل

Transverse voltage in high-Tc superconductors in zero magnetic fields

Longitudinal and transverse voltages have been measured on Bi based superconductors in zero external magnetic fields. In close vicinity of the superconducting transition nonzero transverse voltage has been observed while far away from Tc, both above and below no such voltage has been detected. The value of the transverse resistivity depends on the value of the transport current. Several models ...

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: Crelle's Journal

سال: 2022

ISSN: ['1435-5345', '0075-4102']

DOI: https://doi.org/10.1515/crelle-2022-0015