Finite Size Scaling and Critical Phenomena in Atomic and Molecular Physics
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Finite Size Scaling and Critical Phenomena in Atomic and Molecular Physics

Finite Size Scaling and Critical Phenomena in Atomic and Molecular Physics


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About the Book

Although there are many books on finite size scaling in classical statistical mechanics, there is not a book on finite size scaling in quantum mechanics. This work is one of the first to describe quantum critical phenomena and quantum phase transitions in atomic and molecular physics. It shows how finite size scaling can be used to analyze important phenomena that are difficult to analyze using other methods. The book also includes a general description of near-threshold phenomena for quantum few-body problems with special emphasis on atomic and molecular applications, such as ionization, dissociation, and some aspects of resonance phenomena.

Table of Contents:
Introduction. Critical Phenomena and Phase Transitions in Classical Statistical Mechanics. Critical Phenomena and Phase Transitions in Quantum Statistical Mechanics. Critical Phenomena and Phase Transitions in Spaces of Infinite Dimensions. Finite Size Scaling in Quantum Mechanics. Quantum Phase Transitions and Stability of Atomic and Molecular Systems. Crossover Phenomena and Resonances in Quantum Systems. Spatial Finite Size Scaling. Finite Size Scaling and Path Integral Approach for Quantum Criticality. Finite Size Scaling and Criticality of Arrays of Quantum Dots. Criticality of Atomic and Molecular Systems in External Fields. Critical Phenomena in Quantum Information Theory. Concluding Remarks. References.


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Product Details
  • ISBN-13: 9781482295795
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: CRC Press
  • Language: English
  • No of Pages: 176
  • ISBN-10: 1482295792
  • Publisher Date: 15 Apr 2011
  • Binding: Digital (delivered electronically)
  • No of Pages: 176


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Finite Size Scaling and Critical Phenomena in Atomic and Molecular Physics
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