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Beschreibung
Disorder is one of the predominant topics in science today. The present text is devoted to the mathematical studyofsome particular cases ofdisordered systems. It deals with waves in disordered media. To understand the significance of the influence of disorder, let us start by describing the propagation of waves in a sufficiently ordered or regular environment. That they do in fact propagate is a… basic experience that is verified by our senses; we hear sound (acoustic waves) see (electromagnetic waves) and use the fact that electromagnetic waves travel long distances in many aspects ofour daily lives. The discovery that disorder can suppress the transport properties of a medium is oneof the fundamental findings of physics. In its most prominent practical application, the semiconductor, it has revolutionized the technical progress in the past century. A lot of what we see in the world today depends on that relatively young device. The basic phenomenon of wave propagation in disordered media is called a metal-insulator transition: a disordered medium can exhibit good transport prop erties for waves ofrelatively high energy (like a metal) and suppress the propaga tion of waves of low energy (like an insulator). Here we are actually talking about quantum mechanical wave functions that are used to describe electronic transport properties. To give an initial idea of why such a phenomenon could occur, we have to recall that in physical theories waves are represented by solutions to certain partial differential equations. These equations link time derivatives to spatial derivatives. 53,49 €
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Technische Daten
Erscheinungsdatum
29.12.2012
Sprache
Englisch
EAN
9781461266440
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Progress in Mathematical Physics
Sonderedition
Nein
Autor
Peter Stollmann
Seitenanzahl
166
Einbandart
Broschiert
Buch Untertitel
Bound States in Random Media
Schlagwörter
Excel, Operator theory, Probability theory, functional analysis, math physics, mathematical physics, partial differential equation, pdes/operator theory, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKF - Funktionalanalysis und Abwandlungen
PHU - Mathematische Physik
PBT - Wahrscheinlichkeitsrechnung und Statistik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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