Recent content by xylai

In physics, a photon is an elementary particle, the quantum of the electromagnetic interaction and the basic unit of light and all other forms of electromagnetic radiation. As we know, light can be described by the electric field E and magnetic field B in the classical physics. Here, I have a...

Yes, you are right. But the professor mentioned "for all practical purposes". I don't know his meaning.

These days I met one problem and asked a professor for help. But I can not understand his answer. Can you help me explain his answer? My question is that whether we can assume that a plane wave is orthogonal to the bound state of Hydrogen atom when t->\infty? Professor answers...

Yes, you're right that hypergeometric function is multivalued. I think the result of Mathematica is more serious. Just now, I ran MATLAB R2007a: >> z=hypergeom([.5, 1], 3/2, 5) z = 0.2152 + 0.7025i

Today, I use two softwares to calculate the value of a hypergeometric functions (2F1). One is Mathematica and another is Matlab. But they give me different results. For examples: (1) 2F1(0.5, 1., 1.5, 5) (Pay an attention to the sign of the image part.) Mathematica's result...

Yes I can't. But quantum-classical correspondence is investigated in the micro-world.

Now we can solve TDSE (time-dependent Schrödinger equation) to obtain the quantum results. I wonder why lots of people still do some works on quantum-classical correspondence?

You are very clever.

As far as I know, when n is integer, you are right: J_{-n}(x) = (-1)^nJ_n(x). But when n is not integer, it becomes very difficult.

I am working on some numerical works. I use the computer language: Fortran language. Here I have a problem about the Bessel functon. Now I know the value of Bessel[v,x], where v is positive and real. I want to know the value of Bessel[-v,x]. I don't know their relation. Can you help me...

In molecular orbital theory, there are two molecular states. (see below) I don't know the differences between these two states?

\int^{2a}_{0}dpJ[0,b\sqrt{p}]J[0,b\sqrt{2a-p}] where a and b are constant, and J[0,x] is Bessel function.

Yes, we can think classical theory orginates QM. In my opinion, this subjects to quantum to cassical transition. Maybe I am confused between "quantum-classical correspondence" and "quantum to cassical transition". Any comments are welcome!

Looking at the same problem with the different views. But I think the quantum-classical correspondence can be valid only in a small and special scale.

Thank you for your reply! But I am still confused!