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...- MaestroBach
- Thread
- Replies: 1
- Forum: Quantum Physics
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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>...- MaestroBach
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- Replies: 1
- Forum: Quantum Physics
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Electron Current/movement in P-N junction under forward bias
Ah, would these also be called the "contacts"?- MaestroBach
- Post #3
- Forum: Electrical Engineering
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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...- MaestroBach
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- P-n junction
- Replies: 3
- Forum: Electrical Engineering
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Graduate Going from Kronecker deltas to Dirac deltas
Thank you both!- MaestroBach
- Post #16
- Forum: Quantum Physics
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Graduate Going from Kronecker deltas to Dirac deltas
Thank you very much!- MaestroBach
- Post #13
- Forum: Quantum Physics
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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...- MaestroBach
- Post #12
- Forum: Quantum Physics
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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...- MaestroBach
- Post #8
- Forum: Quantum Physics
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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...- MaestroBach
- Post #5
- Forum: Quantum Physics
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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...- MaestroBach
- Post #3
- Forum: Quantum Physics
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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...- MaestroBach
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- Delta function
- Replies: 15
- Forum: Quantum Physics
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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...- MaestroBach
- Post #3
- Forum: Quantum Physics
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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...- MaestroBach
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- Elements Hamiltonian Matrix
- Replies: 2
- Forum: Quantum Physics
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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.- MaestroBach
- Post #7
- Forum: Thermodynamics
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Undergrad External Pressure vs. Internal Pressure when considering work
This makes a lot of sense, thanks a ton!- MaestroBach
- Post #4
- Forum: Thermodynamics