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--- theories:quantum_mechanics:path_integral [2018/05/06 11:50]
jakobadmin [Concrete]
+++ theories:quantum_mechanics:path_integral [2022/09/12 21:33] (current)
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 <cite>The Lazy Universe by Coopersmith</cite></blockquote>
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-  * A perfect layman explanation of the path integral formalism can be found in the book Quantum Electrodynamics by Richard P. Feynman
-  * See also: https://gravityandlevity.wordpress.com/2009/08/05/the-path-integral-calculating-the-future-from-an-unknown-past/
-  * http://www.thephysicsmill.com/2013/07/16/reality-is-the-feynman-path-integral/
-<tabbox Concrete>
-{{ :advanced_tools:feynmans_qed_probability_amplitudes.gif?nolink|}}
-In the path integral formalism, we calculate the probability that a particle, which starts at some point $S$, ends up at some point $P$, by summing over all possible paths that connect $S$ and $P$.
-For each path, we can calculate a probability amplitude $A_i$. To get the total probability that the particle ends up at $P$, we sum over all these amplitudes $A_i$ and then square the result.
-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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 <cite>Page 7 in QFT in a Nutshell by A. Zee</cite>
 </blockquote>
+----
+  * A perfect layman explanation of the path integral formalism can be found in the book Quantum Electrodynamics by Richard P. Feynman
+  * See also: https://gravityandlevity.wordpress.com/2009/08/05/the-path-integral-calculating-the-future-from-an-unknown-past/
+  * http://www.thephysicsmill.com/2013/07/16/reality-is-the-feynman-path-integral/
+<tabbox Concrete>
+{{ :advanced_tools:feynmans_qed_probability_amplitudes.gif?nolink|}}
+In the path integral formalism, we calculate the probability that a particle, which starts at some point $S$, ends up at some point $P$, by summing over all possible paths that connect $S$ and $P$.
+For each path, we can calculate a probability amplitude $A_i$. To get the total probability that the particle ends up at $P$, we sum over all these amplitudes $A_i$ and then square the result.
+Each amplitude is basically a [[basic_tools:complex_analysis|complex number]] and thus can be represented by an arrow in the complex plane.
@@ Line 88: / Line 88: @@
   * 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.
-  * 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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