theories:quantum_mechanics:path_integral
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theories:quantum_mechanics:path_integral [2018/05/06 11:50] jakobadmin [Concrete] |
theories:quantum_mechanics:path_integral [2018/05/15 06:47] jakobadmin [Intuitive] |
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| <cite>The Lazy Universe by Coopersmith</cite></blockquote> | <cite>The Lazy Universe by Coopersmith</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 72: | Line 54: | ||
| <cite>Page 7 in QFT in a Nutshell by A. Zee</cite> | <cite>Page 7 in QFT in a Nutshell by A. Zee</cite> | ||
| </blockquote> | </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. | ||
theories/quantum_mechanics/path_integral.txt · Last modified: 2022/09/12 21:33 by 207.34.115.128
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