Recent content by itler
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Graduate Conductivity of a semiconductor charged with externally added electrons
Hi, that's also an interesting aspect, yes. But wouldn't it - at least theoretically - also be possible to really increase the number of electrons in total? Maybe by putting the semiconducting sphere close to a strong corona discharge "blowing" electrons onto it? These additional electrons...- itler
- Post #3
- Forum: Atomic and Condensed Matter
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Graduate Conductivity of a semiconductor charged with externally added electrons
Conductivity of a semiconductor charged with "externally added" electrons Hi, how does it influence the conductivity of a semiconducting sphere (I take a sphere as it should make some considerations easier than for a cylindrical wire) if I add external charges to it? Don't know how this...- itler
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- Charged Conductivity Electrons Semiconductor
- Replies: 3
- Forum: Atomic and Condensed Matter
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Graduate Band diagram in real space vs reciprocal space
Yes, your interpretation - assuming k-space picture at small cells - is what I expected. But I think it is not easy to put this into a consistent mathematical form? I tried to interpred it along the same way as you do in accoustics when going from Fourier transform to "windowed Fourier...- itler
- Post #4
- Forum: Atomic and Condensed Matter
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Graduate Band diagram in real space vs reciprocal space
Hi, can anybody rigurously explain the relationship between the band diagram in k-space (I think I understand this one) and the diagram in real space (as is often used to explain the p-n-junction).- itler
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- Band Diagram Reciprocal Space
- Replies: 3
- Forum: Atomic and Condensed Matter
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Graduate Rigurous treatment of variational calculus
Of course, sorry, I forgot... Hm, but the domain of f is not simply R^n, but the set of functions on R^n? So this is an infinitely dimensional vector space with all its complications like - What´s meant by "eukidean norm" here (probably ||g|| = sqrt(integral(g^2))) - Norms on infinite... -
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Graduate Rigurous treatment of variational calculus
Hi, I have a general question about variational calculus (VC). I know the standard derivation of Euler-Lagrange equations and I´m able to use them. Nevertheless I think what I generally read cannot be the whole truth. Generally if f:M->R (M: arbitrary topological space, R: real numbers)... -
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Graduate Can all differential equations be derived from a variational principle?
I found an article, <http://www.phy.bme.hu/~van/Publ/VanNyi99a.pdf>, which states: "...A strict mathematical theorem tells us the condition of the existence of a variational principle for a given differential (or almost any kind of) equation (see for example in [?, ?])..."...- itler
- Post #17
- Forum: Differential Equations
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Graduate Can all differential equations be derived from a variational principle?
Why isn´t it as simple as taking for the general PDE F(x,y,z,f_x,f_y,f_z,f_xy,...) = 0 the functional G(F) := Integral(F^2(f)) This is =0 for the solution f of the PDE, >=0 for all other functions (not solving the PDE) and if there were some notion of continuity this could be...- itler
- Post #14
- Forum: Differential Equations