Excellent article and claim, that's exactly the point of my initial question!: The photoelectric effect can be entirely explained "by using time-dependent first-order perturbation theory with classical electromagnetic waves as the perturbation and any model for a bound electron in quantum...
Sorry for the delay.
Well that's the thing, it's not QFT but ordinary Quantum Mechanics. In this context there's no need for "one photon", you have classical EM radiation interacting with a quantum system. Then, you measure consequences of the quantum system, such as the wavefunction of an...
Thank you for your answer. So you are saying that it is not whether the classical description or quantum description are the good ones, but both are just an approximation of quantum field theory, making it impossible to proceed without it in this matter? In the description I put "without...
Hello everyone, thanks for reading
I'll explain my question. At first, light was described as electromagnetic waves, until Einstein proposed the photoelectric effect and thus creating the concept of photon, a particle of light with momentum and energy, but no mass. It could explain why the...
Sorry, it was not the case, maybe I did not explain myself well. There's no boundary to the system. In fact the normalization condition would be \int_{-\infty}^{\infty} y(x) dx=1, but for purpose of computation it could be aproximated with \int_{x_0}^{x_1} y(x) dx with an interval that's big...
Thank you all for your responses. The analytic approach of invariant equations under change of variables is very interesting, and would work in this case, however I am looking for more generic approaches (if they exist). And about preserving your zero component in Fourier space, wouldn't it only...
Hello all,
I would like to know how to impose a normalization condition to numerically solving an ODE. For simplicity let's consider the example
\frac{dy}{dx}=y
You could use different methods using an initial value, but if you consider the interval [x_0,x_1] and \int_{x_0}^{x_1} y(x)dx=1...
Thank you for your answer.
But which could be the reversible path? Clearly it's not isothermal since the final temperature changes. It is neither isobaric and it is not adiabatic since then the entropy change would then be 0 through all the path. I know that a reversible path is one in which...
Hi there,
I was wondering if you could help me, I think I may have some concepts wrong or incomplete.
Homework Statement
We have an adiabatic cylinder of volume ##V_1## filled with a gas of pressure ##p_1## and temperature ##T_1## in thermal equilibrium, closed with a piston. All of a suden...
Hello,
Maybe it's a silly question, but why the space ##L^2[a,b]## has always to have bounded limits? Why can't we define the space of functions ##f(x)## where ##x \in \mathbb{R}## and ##\int_{-\infty}^\infty |f(x)|^2 dx \le M## for some ## M \in \mathbb{R^+}##? As far as I know the sum of two...
Hi there,
I was wondering, which is the space of (not necessarily linear) mappings from ##L^2## to itself? If you have an element ##f(x) \in L^2##, then a nonlinear mapping could be ##g(\cdot)##. Then if ##g## is bounded the image is in ##L^2##, does that mean that the space of linear and...