theories:classical_theories
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| ====== Classical Theories ====== | ====== Classical Theories ====== | ||
| - | Classical theories are useful approximations of [[theories:quantum_theory|quantum theories]]. | + | <tabbox Overview> |
| + | Classical theories are useful approximations of [[theories:quantum_theory|quantum theories]] for objects that are large. | ||
| + | <nspages theories:classical_theories -h1 -textPages=""> | ||
| + | ---- | ||
| [{{ :theories:classicaltheories.png?nolink&800 |Source: http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/1201.1.K.pdf}}] | [{{ :theories:classicaltheories.png?nolink&800 |Source: http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/1201.1.K.pdf}}] | ||
| + | <tabbox History> | ||
| + | * For a nice overview, see the [[https://en.wikipedia.org/wiki/Timeline_of_classical_mechanics|timeline of classical mechanics at Wikipedia]]. | ||
| + | * https://golem.ph.utexas.edu/category/2008/01/a_tiny_taste_of_the_history_of.html | ||
| - | ===== FAQ ===== | ||
| - | --> How can we understand the transition from quantum to classical physics?# | + | </tabbox> |
| - | + | ||
| - | For a nice discussion, see chapter 2 in Sleeping Beauties in Theoretical Physics by Thanu Padmanabhan: | + | |
| - | + | ||
| - | "Particles do not follow trajectories. They are described by | + | |
| - | wavefunctions but under appropriate circumstances the constructive interference | + | |
| - | of the phases of the wavefunction will single out a path which | + | |
| - | we call a classical trajectory. The [[equations:hamilton-Jacobi_equation]] is just the | + | |
| - | lowest-order Schrodinger equation if we use the ansatz in Eq. (2.1). The ¨ | + | |
| - | mysterious procedure in Hamilton-Jacobi theory — of differentiating the | + | |
| - | solution to Hamilton-Jacobi equation and equating it to a constant — is | + | |
| - | just the condition for constructive interference of the phases of waves | + | |
| - | differing slightly in the parameter E. The procedure based on Hamilton-Jacobi | + | |
| - | theory works in [[theories:classical_theories:classical_mechanics|classical mechanics]] because it is supported by the | + | |
| - | [[equations:schroedinger_equation|Schrodinger equation]]" | + | |
| - | + | ||
| - | See also: | + | |
| - | [[http://vvkuz.ru/books/zurek.pdf|Decoherence and the Transition from Quantum to Classical—Revisited]] by Zurek and [[https://arxiv.org/abs/1404.2635|The quantum-to-classical transition and decoherence]] by Maximilian Schlosshauer | + | |
| - | <-- | + | |
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