(De)localization in the prime Schrödinger operator

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

(De)Localization in the Prime Schrödinger Operator

It is reported a combined numerical approach to study the localization properties of the one-dimensional tight-binding model with potential modulated along the prime numbers. A localization-delocalization transition was found as function of the potential intensity; it is also argued that there are delocalized states for any value of the potential intensity. PACS numbers: 03.65.-w, 72.20.Ee, 72....

متن کامل

Dynamical Delocalization for the 1D Bernoulli Discrete Dirac Operator

An 1D tight-binding version of the Dirac equation is considered; after checking that it recovers the usual discrete Schrödinger equation in the nonrelativistic limit, it is found that for two-valued Bernoulli potentials the zero mass case presents absence of dynamical localization for specific values of the energy, albeit it has no continuous spectrum. For the other energy values (again excludi...

متن کامل

Schrödinger Operator on Homogeneous Metric Trees : Spectrum in Gaps

The paper studies the spectral properties of the Schrödinger operator A gV = A 0 + gV on a homogeneous rooted metric tree, with a decaying real-valued potential V and a coupling constant g ≥ 0. The spectrum of the free Laplacian A 0 = −∆ has a band-gap structure with a single eigenvalue of infinite multiplicity in the middle of each finite gap. The perturbation gV gives rise to extra eigenvalue...

متن کامل

Delocalization for the 3D discrete random Schrödinger operator at weak disorder

We apply a recently developed approach (Liaw 2013 J. Stat. Phys. 153 1022–38) to study the existence of extended states for the three-dimensional discrete random Schrödinger operator at small disorder. The conclusion of delocalization at small disorder agrees with other numerical and experimental observations (see e.g. (Lagendijk et al 2009 Phys. Today 82 24–29)). Further the work furnishes a v...

متن کامل

Finite Element Approximations to the Discrete Spectrum of the Schrödinger Operator with the Coulomb Potential

In the present paper, the authors consider the Schrödinger operator H with the Coulomb potential defined in R3m, where m is a positive integer. Both bounded domain approximations to multielectron systems and finite element approximations to the helium system are analyzed. The spectrum of H becomes completely discrete when confined to bounded domains. The error estimate of the bounded domain app...

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: Journal of Physics A: Mathematical and General

سال: 2001

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/34/16/103