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On the Derivation of the Time-Dependent Equation of Schrodinger
On the Derivation of the Time-Dependent Equation of Schrodinger

Anderson transition ???????? Critical Statistics
Anderson transition ???????? Critical Statistics

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... 2.1 What determines if a system needs to be described using Q.M? When do we use a particle description(classical) of an atomic or molecular system and when do we use a wave (quantum mechanical) description?  two criteria are used! 1) The magnitude of the wavelength of the particle relative to the ...
Quantum Mechanics I, Sheet 1, Spring 2015
Quantum Mechanics I, Sheet 1, Spring 2015

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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