Nov 6, 2017 · 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.

Apr 8, 2020 · 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.

(a) definition of quantization; (b) why do we need quantum mechanics; (c) what is the difference between classical and quantum mechanics; (d) combination of (a),(b),(c) or others. Quantum mechanics differs the classical least action principle, since the operators do not commute.

Oct 17, 2022 · It is then that the protocol for the "quantization of a theory" has crystallized. In short, the algorithm was/is as follows: Formulate your problem in classical terms as a Hamiltonian theory just the way Goldstein, Landau&Lifshits vol.1, or any other Classical Mechanics textbook of your liking, prescribes.

Jun 1, 2015 · Traditionally, this terribleness of notation was fixed by symmetrizing or anti-symmetrizing the first-quantized wave functions. This has the effect of removing the information we injected by labeling the particles, but you're way better off just not labeling them at all and using second quantization. Meaning of 2$^{\text{nd}}$ quantization

Jun 1, 2017 · The answer(s) to your question(s) could easily fill a book (and in fact have). In short, quantization is a heuristic procedure that, given a classical system (Usually taken to be a Lagrangian or Hamiltonian theory of particles and or fields), produces a quantum theory (A Hilbert space and a Hamiltonian operator, more generally time evolution or even a unitary …

Sep 13, 2015 · 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 ...

Aug 17, 2020 · Quantization is a mystery. (Weyl, the godfather of this formulation, thought he'd found the true and only way to quantization, along this path, in 1927. Wrongly.) There are several different ways to consistently quantize many classical systems, and none is better than the rest, but depends on your specific physical system described. Some pick ...

May 2, 2017 · $\begingroup$ There is a historical explanation for the names first and second quantisations. It comes from the fact that the wave-function (in first quantisation thus) was thought as a (complex valued) field at the beginning of the 20-th century.

May 13, 2021 · I am trying to understand the concept of energy quantization. For example, Sodium. Let's talk about $2p$ and $3s$ for this example. So $2p$ has 6 electrons and and $3s$ has one. So when we say energy is quantizied does it mean that all …