theories:quantum_mechanics:path_integral
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theories:quantum_mechanics:path_integral [2018/05/06 11:36] jakobadmin [Intuitive] |
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| The path integral idea emerges naturally when we consider what happens when we have many [[experiments:double_slit_experiment|double slit experiments]] in a row: | The path integral idea emerges naturally when we consider what happens when we have many [[experiments:double_slit_experiment|double slit experiments]] in a row: | ||
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| + | {{ :theories:quantum_mechanics:pathintegral.png?nolink&800 |}} | ||
| <blockquote>Recall the famous double-slit experiment | <blockquote>Recall the famous double-slit experiment | ||
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| </blockquote> | </blockquote> | ||
| - | [{{ :advanced_tools:ff570b79-257d-46ec-9672-f9f2a9d88518.jpeg?nolink |source: http://www.pd.infn.it/statphys_venice_2013/talks_stat_fin_2013/tempere.pptx}}] | ||
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| Each amplitude is basically a [[basic_tools:complex_analysis|complex number]] and thus can be represented by an arrow in the complex plane. | Each amplitude is basically a [[basic_tools:complex_analysis|complex number]] and thus can be represented by an arrow in the complex plane. | ||
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| * http://qu-bit.narod.ru/texts/feynman.pdf | * http://qu-bit.narod.ru/texts/feynman.pdf | ||
| * Shankar, Principles of QM, the Chapter "Path integrals revisited" is especially useful for students interested in condensed matter physics. | * Shankar, Principles of QM, the Chapter "Path integrals revisited" is especially useful for students interested in condensed matter physics. | ||
| - | * Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial | + | * Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by H. Kleinert is the bible on path integrals. |
| - | Markets H. Kleinert is the bible on path integrals. | + | * [[https://fondationlouisdebroglie.org/AFLB-312/aflb312m504.pdf|Majorana and the path-integral approach to |
| + | Quantum Mechanics]] by S. Esposito, Annales de la Fondation Louis de Broglie, Volume 31 no 2-3, pp. 207-225, 2006 | ||
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theories/quantum_mechanics/path_integral.1525599388.txt.gz · Last modified: 2018/05/06 09:36 (external edit)
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