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Title: Physics/Quantum Mechanics - Path Integral Methods and Applications These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the rea
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[quant-ph/0004090] Path Integral Methods and Applications

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Quantum Physics

Title:Path Integral Methods and Applications

Authors:Richard MacKenzie(Submitted on 24 Apr 2000)Abstract: These lectures are intended as an introduction to the technique of pathintegrals and their applications in physics. The audience is mainly first-yeargraduate students, and it is assumed that the reader has a good foundation inquantum mechanics. No prior exposure to path integrals is assumed, however.The path integral is a formulation of quantum mechanics equivalent to thestandard formulations, offering a new way of looking at the subject which is,arguably, more intuitive than the usual approaches. Applications of pathintegrals are as vast as those of quantum mechanics itself, including thequantum mechanics of a single particle, statistical mechanics, condensed matterphysics and quantum field theory.After an introduction including a very brief historical overview of thesubject, we derive a path integral expression for the propagator in quantummechanics, including the free particle and harmonic oscillator as examples. Wethen discuss a variety of applications, including path integrals inmultiply-connected spaces, Euclidean path integrals and statistical mechanics,perturbation theory in quantum mechanics and in quantum field theory, andinstantons via path integrals.For the most part, the emphasis is on explicit calculations in the familiarsetting of quantum mechanics, with some discussion (often brief and schematic)of how these ideas can be applied to more complicated situations such as fieldtheory.Comments:55 pages, 23 figures. Lectures given at Rencontres du Vietnam: VIth Vietnam School of Physics, Vung Tau, Vietnam, 27 December 1999 - 8 January 2000Subjects:Quantum Physics (quant-ph); High Energy Physics - Theory (hep-th)Report number:UdeM-GPP-TH-00-71Cite as:arXiv:quant-ph/0004090v1

Submission history

From: Richard MacKenzie [view email][v1] Mon, 24 Apr 2000 13:58:03 GMT (56kb)Which authors of this paper are endorsers?Link back to: arXiv, form interface, contact.
 

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lectures

are

intended

as

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introduction

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the

technique

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path

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and

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applications

in

physics.

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mainly

first-year

graduate

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http://arxiv.org/abs/quant-ph/0004090

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These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the rea

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