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fxdung
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Can we have a quantization static EM field?If not, how can we interpret static EM field in stand point of QM?
fxdung said:Can we have a quantization static EM field?
You treat the static E-field of the nucleus as a classical field. I think he means if we can do a quantization procedure (like that of assigning a quantum harmonic oscillator to each point of the field) for a static EM field which i think we cannot since there is nothing that varies or oscillates with time.PeterDonis said:If you mean, can a static EM field be described using QM, of course it can. That's how QM models the hydrogen atom, for example, and derives all of the detailed data on energy levels that has been confirmed by many experiments.
Delta2 said:You treat the static E-field of the nucleus as a classical field.
Delta2 said:I think he means if we can do a quantization procedure (like that of assigning a quantum harmonic oscillator to each point of the field) for a static EM field
Take a look at this wikipedia articlePeterDonis said:You can do this in quantum field theory. QFT can describe any EM field state.
Delta2 said:Take a look at this wikipedia article
Of course this is the best idea, but I found this wikipedia article to be interesting and useful.PeterDonis said:If you want to learn QFT, you should be looking at textbooks, not Wikipedia.
Yes I think you are right on this, many Wikipedia articles are written in such a style that if you previously have read on the subject from a good textbook, then you can understand what the article says, however if you are completely new to the subject and just read the Wikipedia article then you ll probably make a mess of your understanding.PeterDonis said:If you want to learn QFT, you should be looking at textbooks, not Wikipedia.
And before I learn QFT I have to learn QM cause I have little to no clue of what the Schrodinger and Heisenberg pictures are. What's a good book to learn QM starting from complete unknown, with only thing provided a good mathematical background. I am considering Griffiths, or is there a better option?PeterDonis said:The short answer is that the time dependence the article is talking about is not the same as the one you're concerned about. The article is talking about the difference between the Schrodinger picture, in which all of the time dependence is in the wave function, and the Heisenberg picture, in which all of the time dependence is in the operators. That has nothing to do with whether observables are time dependent or not (even in a stationary state, where no observables change with time, there is still a time dependence of phase that has to be captured somewhere).
Delta2 said:What's a good book to learn QM starting from complete unknown, with only thing provided a good mathematical background. I am considering Griffiths, or is there a better option?
Delta2 said:I have little to no clue of what the Schrodinger and Heisenberg pictures are.
Delta2 said:What's a good book to learn QM starting from complete unknown, with only thing provided a good mathematical background. I am considering Griffiths, or is there a better option?
fxdung said:If QFT can describe static EM field, then can we take the notion of photon for static EM field?
This is the semiclassical approximation, i.e., the em. field is treated as a classical field. Of course you can quantize the field also within a non-relativistic "1st quantization" treatment of the particles. As in full QED of course the static fields are included within the formalism. For details, seeatyy said:The static EM field is treated as a potential in non-relativistic QM.
fxdung said:later you say :it is not possible to quantize static field?
fxdung said:Then can we apply creation and annihilation operator formalism and Feymann diagram for static field?
Yes, it is possible to quantize a static electromagnetic (EM) field. However, this process is different from quantizing dynamic EM fields, as there are no time-varying components in a static field.
The process of quantizing a static EM field involves treating the field as a collection of harmonic oscillators and applying the principles of quantum mechanics. This leads to the creation of discrete energy levels for the field, which can be described using quantum states.
Quantizing a static EM field has various applications in fields such as quantum optics, quantum information processing, and condensed matter physics. It allows us to understand the behavior of light in materials and to manipulate and control electromagnetic fields at the quantum level.
One limitation of quantizing a static EM field is that it cannot fully capture the behavior of strong fields. In these cases, the quantization process may break down, and other methods, such as classical field theory, may be more appropriate.
The quantization of a static EM field has significant implications for our understanding of the fundamental laws of nature. It allows us to bridge the gap between classical and quantum mechanics and provides insights into the nature of light and matter. It also has practical applications in various technologies, such as quantum computing and communication.