BruceW said:I think this has already happened. Maxwell's equations have been quantised to explain quantum phenomena correctly.
pankajmaurya said:Maxwell equations are based on the wave nature of electromagnetism so they can't explain why the electron revolving in Bohr's orbit does not emit radiations.So my question is can't the Maxwell equations be modified according to the particle nature(quanta) of electromagnetism
Hi Judah,jfy4 said:This web page is a good start:
http://en.wikipedia.org/wiki/Quantum_electrodynamics"
sriecewit said:Hi Judah,
Thanks for the quick start link on QED.
But is there any way I can understand the mathematics of QED (starting from the basic model of an atom). I'm interested in learning the theory and my math is just at the undergrad level.
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Srini
Except linear I have taken other courses you have mentioned. Maybe I will study linear algebra and then start with mathematics of QFT. Is that a good idea?jfy4 said:What level of undergrad? Have you taken linear algebra? All 3 calculus courses? Mechanics I and II? if you have, the main item left is tensor calculus, which is, in general, a straightforward generalization of 3-vectors and matrices; although the physical idea behind using tensors and differential forms is much deeper than I perhaps put on...
The mathematics of QFT relies heavily on linear algebra. If you are familiar with it, things should fall into place over time. Although, like I said, drawing physics and identifying physics from the mathematical framework is not trivial, there are hundreds of threads on this website to testify...
Maxwell equations in quantum mechanics are a set of equations that describe the behavior of electromagnetic fields in the quantum realm. They are based on James Clerk Maxwell's classical equations, but they have been modified to account for quantum effects, such as the discrete nature of energy and the uncertainty principle.
In classical Maxwell equations, electromagnetic fields are described as continuous waves. However, in quantum mechanics, electromagnetic fields are quantized and can only exist in discrete packets of energy, known as photons. This leads to modifications in the equations to account for this discrete nature of energy.
Maxwell equations in quantum mechanics play a crucial role in understanding the behavior of electromagnetic fields at the quantum level. They have been successfully used to explain various phenomena, such as the photoelectric effect and the behavior of atoms in an external electromagnetic field.
Yes, Maxwell equations in quantum mechanics are consistent with other quantum theories, such as the Schrödinger equation and the Heisenberg uncertainty principle. They provide a framework for understanding the behavior of electromagnetic fields in the quantum realm.
Some simplified versions of Maxwell equations in quantum mechanics can be solved analytically, but in general, they require numerical methods for solution. This is because the equations involve complex functions and operators, making analytical solutions difficult to obtain.