Recent content by wdlang

I would feel safe if i start from the classical lagrangian or the classical hamiltonian. It is at first a psychological issue. I do not understand why you just mention energy, not the hamiltonian. Of course, the hamiltonian is time independent and energy is conserved. Another...

Thanks a lot. It looks interesting.

how to go step by step from the classical lagrangian to the schrodinger equation? i would like to work with the two angles. whether the quantization is right or not is a matter of experiment, is not it? I mean, you might have many schemes of quantization, but which one is the right one...

i now see. So it is not as specular as magnetic quantization in superconductors

according to the Landauer formula, the conductance is proportional to the transmission probability. But the transmission probability is not quantized generally So why is the conductance quantized?

it seems that people never talk about the wave function of a few anyons why? i guess the reason is that if they consider the wave function, then they will only get bosons or fermions they cannot get anyons from a wave function In other words, there is no such thing like a wave...

i guess in the wigner crystal, the exchange interaction between the electrons can be neglected. What is your opinion?

i do not know why. does the magnetic moment of an atom come only from the spins of the electrons?

i am actually looking for a numerical method. my idea is the following. First generate a M*N matrix, the real and imaginary parts of each element of which are drawn independently from the normal distribution. Then do QR decomposition to get the N orthonormal basis vectors spanning the...

i need to sample the N-dimensional subspaces of a M-dimensional linear space over C uniformly. That is, all subspaces are sampled with equal probability how should i do it? would this work? First generate a M*N matrix, the real and imaginary parts of each element is sampled from the...

actually i am more interested in the numerical solution because my eigenvalue equation will be modified in future as f'' + V(x) f + E f =0, where V(x) is an arbitrary real function. so the problem is to device a numerical scheme to do it

suppose function f is define on the interval [0,1] it satisfies the eigenvalue equation f'' + E f=0, and it satisfies the boundary conditions f'(0)+ f(0)=0, f(1)=0. How to solve this eigenvalue problem numerically? the mixed boundary condition at x=0 really makes it difficult

i have an almost square region. By 'almost' i mean the edges are curvy, not completely straight. i now need to solve the Helmholtz equation with Dirichlet boundary condition what is the best numerical method? how is Finite element, though i do not know what Finite element is

I want one good for physicists does not need to be very rigorous

it seems that there is no definite proof in experiment ?