✎ theories:classical_theories [The Physics Travel Guide]

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====== Classical Theories ======

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Classical theories are useful approximations of [[theories:quantum_theory|quantum theories]] for objects that are large.

[{{ :theories:classicaltheories.png?nolink&800 |Source: http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/1201.1.K.pdf}}]

--> 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
<--

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