Band Limited Functions on Quantum Graphs

نویسندگان

  • ISAAC PESENSON
  • David R. Larson
چکیده

The notion of band limited functions is introduced on a quantum graph. The main results of the paper are a uniqueness theorem and a reconstruction algorithm of such functions from discrete sets of values. It turns out that some of our band limited functions can have compact supports and their frequencies can be localized on the “time” side. It opens an opportunity to consider signals of a variable band width and to develop a sampling theory with variable rate of sampling.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Compressive and rarefactive dust-ion acoustic solitary waves in four components ‎quantum plasma with dust-charge variation

Based on quantum hydrodynamics theory (QHD), the propagation of nonlinear quantum dust-ion acoustic (QDIA) solitary waves in a ‎collision-less, unmagnetized four component quantum plasma consisting of electrons, positrons, ions and stationary negatively charged ‎dust grains with dust charge variation is investigated using reductive perturbation method. The charging current to the dust grains ca...

متن کامل

Quantum diffusion in the Kronig-Penney model

In this paper we consider the 1D Schrödinger operator H with periodic point interactions. We show an L1 − L∞ bound for the time evolution operator e−itH restricted to each energy band with decay order O(t−1/3) as t → ∞, which comes from some kind of resonant state. The order O(t−1/3) is optimal for our model. We also give an asymptotic bound for the coefficient in the high energy limit. For the...

متن کامل

Performance evaluation of Carbon nanotube junctionless tunneling field effect transistor (CNT-JLTFET) under torsional strain: A quantum simulation study

In this paper, the performance of a CNT-JLTFET under different values of torsional strains of 0, 3, and 5 degrees has been investigated. Simulation has been carried out using non-equilibrium Green’s function (NEGF) formalism in the mode-space approach and in the ballistic limit. The simulation results indicate that, under torsional strain, an increase occurs in the energy band-gap, and thus the...

متن کامل

Numerical Modeling of Electronic and Electrical Characteristics of 0.3 0.7 Al Ga N / GaN Multiple Quantum Well Solar Cells

The present study was conducted to investigate current density of0.3 0.7 Al Ga N/ GaN multiple quantum well solar cell (MQWSC) under hydrostaticpressure. The effects of hydrostatic pressure were taken into account to measureparameters of 0.3 0.7 Al Ga N/ GaN MQWSC, such as interband transition energy, electronholewave functions, absorption coefficient, and dielectric con...

متن کامل

The Effect of pH on the Optical Band Gap of PbSe Thin Film with Usability in the Quantum Dot Solar Cell and Photocatalytic Activity

This study was an attempt to provide a simple solution processed synthesis route for Lead Selenide (PbSe) nanostructure thin films using the chemical bath deposition (CBD) method which is commercially available in inexpensive precursors. In the CBD method, the preparation parameters play a considerable role and determine the nature of the final product formed. Known as two main factors, the eff...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005