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Path Integrals in Quantum Mechanics (Oxford Graduate Texts)
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by Jean Zinn-Justin
Sales Rank: 895466
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List Price: $109.45
$109.45
At Amazon
on 10-14-2008
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Hardcover: 332 pages
Publisher: Oxford University Press, USA February 3, 2005
Language: English
ISBN-10: 0198566743
ISBN-13: 978-0198566748
Product Dimensions:
9.4 x 6.5 x 0.9 inches
Shipping Weight: 1.5 pounds
Product Review
"Zinn-Justin describes this alternate point of view that has proven very useful in quantum field theory and its applications from particle physics to phase transitions or properties of quantum gases. He begins by introducing,""--SciTech Book News
Product Description
The main goal of this book is to familiarize the reader with a tool, the path integral, that not only offers an alternative point of view on quantum mechanics, but more importantly, under a generalized form, has also become the key to a deeper understanding of quantum field theory and its applications, extending from particle physics to phase transitions or properties of quantum gases.
Path integrals are mathematical objects that can be considered as generalizations to an infinite number of variables, represented by paths, of usual integrals. They share the algebraic properties of usual integrals, but have new properties from the viewpoint of analysis. They are powerful tools for the study of quantum mechanics, since they emphasize very explicitly the correspondence between classical and quantum mechanics. Physical quantities are expressed as averages over all possible paths but, in the semi-classical limit, the leading contributions come from paths close to classical paths. Thus, path integrals lead to an intuitive understanding of physical quantities in the semi-classical limit, as well as simple calculations of such quantities. This observation can be illustrated with scattering processes, spectral properties or barrier penetration effects. Even though the formulation of quantum mechanics based on path integrals seems mathematically more complicated than the usual formulation based on partial differential equations, the path integral formulations well adapted to systems with many degrees of freedom, where a formalism of Schrodinger type is much less useful. It allows simple construction of a many-body theory both for bosons and fermions.
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Path Integrals in Quantum Mechanics (Oxford Graduate Texts)
Available from Amazon
Price: $109.45
Updated on 10-14-2008
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