Recent content by MaestroBach

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    Graduate 2nd Quantization states

    As a heads up, I'm really sorry but I can never get latex to work when I hit preview on physicsforums for some reason. Haven't been able to figure it out across multiple browsers. So for a bit of context, this question is for the pariser parr pople model applied to something such as a benzene...
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    Undergrad Quick question regarding creation/annihilation operators

    I'm reading a textbook and it states the following: For whatever reason latex previewing is not working for me right now.. but the way I was thinking about this was to take the complex conjugate of the entire left, act with the ensuing creation operator on |x_1 ... x_N-1> to get |x_1...x_N>...
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    Electron Current/movement in P-N junction under forward bias

    Ah, would these also be called the "contacts"?
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    Electron Current/movement in P-N junction under forward bias

    For context, I have very little background knowledge of circuits. I'm reading about P-N junctions under forward and reverse bias, and I'm having a bit of trouble visualizing what's happening where the P side of the junction meets the circuit under forward bias. From what I understand, at the...
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    Graduate Going from Kronecker deltas to Dirac deltas

    Ah yes, of course- I don't know what I was thinking for a second. I guess where I'm still stuck is that up to now, if I were given just a ket state, I'd be able to look at it and draw some kind of information from just it, without having to do the inner product of it and a bra or integrating...
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    Graduate Going from Kronecker deltas to Dirac deltas

    I do understand that with an inner product we'll always be integrating, but I guess seeing I was only looking at a ket, I didn't think of the integration at all. Wouldn't the integration happen after doing the inner product with a bra? Is there no way to think about the ket multiplied by the...
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    Graduate Going from Kronecker deltas to Dirac deltas

    I guess the issue was just that I was not aware that I should be applying ##\int dx## at all, the book wasn't clear about this (as far as I know). Are you doing it soley because of the dirac delta? Or for continuous quantities, is it implied that expressions are to be integrated over? Also...
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    Graduate Going from Kronecker deltas to Dirac deltas

    I see... Later in the same chapter, for many particles, this is given: $$\psi(x) | y_1 ... y_N \rangle = \sum{k=1}^{N}(\pm)^{N + k} \delta(x - y_k) | y_1 ... y_{k-1} y_{k+1} ... y_N \rangle $$, where ##\psi(x)## is the annihilation operator and x is another coordinate that CAN equal y (To...
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    Graduate Going from Kronecker deltas to Dirac deltas

    I'm reading Stefanucci's Nonequilibrium Many Body Theory of Quantum Systems. In the first chapter, where it goes over basic quantum mechanics, it first defines the usual orthonormality condition I'm familiar with, $$\langle n' | n \rangle = \delta_{n, n'} $$ where $$ | n \rangle$$ is the ket...
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    Undergrad Matrix elements of Hamiltonian include Dirac delta term

    Sorry, I should have provided a lot more context. The book is Nonequilibrium many-body theory of quantum systems by Stefanucci, ##\hat{h}## is any generalized hamiltonian ##\hat{h} = h(\hat{r},~\hat{p},~\hat{S})## where "##\hat{r}## is the position operator, ##\hat{p}## is the momentum...
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    Undergrad Matrix elements of Hamiltonian include Dirac delta term

    Currently reading a textbook on non-equilibrium green's functions and I'm stuck in chapter 1 where it recaps just general quantum mechanics because of dirac deltas included in the matrix elements of a generalized hamiltonian. The textbook gives this: I just don't understand how to think about...
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    Undergrad External Pressure vs. Internal Pressure when considering work

    1. True 2. I'm not quite sure what "the external pressure exerted by the inside face" means- does that mean the pressure that the internal gas exerts on the exterior? If so, I would say True but only in a reversible process.
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    Undergrad External Pressure vs. Internal Pressure when considering work

    This makes a lot of sense, thanks a ton!