Get Free Shipping on orders over $79
Multidimensional Periodic Schrodinger Operator : Perturbation Theory and Applications - Oktay Veliev

Multidimensional Periodic Schrodinger Operator

Perturbation Theory and Applications

By: Oktay Veliev

eText | 28 March 2015

At a Glance

eText


$179.00

or 4 interest-free payments of $44.75 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

The book describes the direct problems and the inverse problem of the multidimensional Schrodinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions for arbitrary dimension. Moreover, the measure of the iso-energetic surfaces in the high energy region is construct and estimated. It implies the validity of the Bethe-Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential. This way the possibility to determine the potential constructively by using Bloch eigenvalues as input data is given. In the end an algorithm for the unique determination of the potential is given.

on
Desktop
Tablet
Mobile

More in Quantum Physics & Quantum Mechanics & Quantum Field Theory

Gravity's Chain - Alan Goodwin

eBOOK

$8.99

Desolate - Lars Rönnbäck

eBOOK

RRP $17.59

$16.99

Quantum Eschaton - Gregory P Le Sage

eBOOK

$10.99

Spongesition - King Poet

eBOOK

$53.99