theories:classical_theories
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
theories:classical_theories [2017/11/11 11:06] jakobadmin |
— (current) | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ====== Classical Theories ====== | ||
| - | |||
| - | |||
| - | [{{ :theories:classicaltheories.png?nolink&800 |Source: http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/1201.1.K.pdf}}] | ||
| - | |||
| - | Classical theories are useful approximations of [[theories:quantum_theory|quantum theories]]. | ||
| - | |||
| - | |||
| - | |||
| - | ===== FAQ ===== | ||
| - | |||
| - | --> How can we understand the transition from quantum to classical physics?# | ||
| - | |||
| - | 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 | ||
| - | <-- | ||
theories/classical_theories.1510394799.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
