What is "quantization"? Give one example - Physics Stack Exchange
2017年11月6日 · Quantization (in theoretical physics) covers any mathematical method of developing a theory which incorporates quantum theoretical ideas from a classical concept. The most dramatic might be Quantum Electrodynamics (QED) which is developing a theory for the electromagnetic field from quantum ideas.
What is Quantization? - Physics Stack Exchange
Quantization of course was and is motivated by experiment, hence by observation of the observable universe: it just so happens that quantum mechanics and quantum field theory correctly account for experimental observations where classical mechanics and classical field theory gives no answer or incorrect answers.
discrete - How does quantization arise in quantum mechanics?
2020年4月8日 · First and second quantization Quantization is a misleading term, since it implies discreteness (e.g., of the energy levels), which is not always the case. In practice (first) quantization refers to describing particles as waves, which in principle allows for discrete spectra, when boundary conditions are present.
What is the "secret " behind canonical quantization?
2020年8月17日 · It is now clear that (4) is the reason of the correspondence principle of canonical quantization when the same symmetry group exists both in classical and in quantum physics. In non relativistic physics, the relevant symmetry group is the Galileo group. This plays a crucial role both in classical and in non-relativistic quantum physics.
Difference between discretization and quantization in physics
2015年9月13日 · From quantization: Most common is the idea of quanta of energy, that comes in discrete packets of energy $\hbar \omega,$ e.g. when solving the set of possible eigenvalues for the hydrogen atom, and hence discovering a discrete set of energy values that difference always by an integral amount of a certain quanta, so one refers to the energy here ...
$\\pi, ~\\sigma$ - atomic transitions with respect to a …
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Rigorous proof of Bohr-Sommerfeld quantization - Physics Stack …
2013年1月19日 · The quantization spaces are constructed as spaces of polarized sections with respect a polarization. The most "obvious" type of a polarization is the Kahler polarization, where the quantization spaces are spaces of holomorphic sections of a pre-quantum line bundle.
Canonical vs Deformation Quantization - Physics Stack Exchange
2024年9月26日 · Quantization is a mystery, and, in nature, the quantization choice is dictated by agreement of the choice/model with specific natural phenomena. The DQ choice here has been studied for Kerr oscillators in quantum optics and dynamical systems, as well as the quantization of Nambu Brackets, but I'd not expect you aim to go there, hence I focus on 1.
Experimental verification of quantization - Physics Stack Exchange
2020年5月9日 · The role of "quantization" is only to motivate the structure of QED based on what we already know about classical electrodynamics. As a testable theory, QED stands on its own without any dependence on the chain of reasoning that led us to consider it, and without any dependence on classical electrodynamics.
Polarization procedure in geometric quantization - Physics Stack …
2020年11月4日 · In pre-quantization, wave-functions are functions of all of the phase space variables. There is a general formula to write pre-quantum operators, using the symplectic potential of the phase space (This is why the procedure is called "geometric quantization"; it is done using the phase space geometry).