Recent content by collpitt
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Graduate Can DFT Bridge the Gap Between Theory and Real-World Material Science?
DFT by itself cannot be used for studying electronic transport. Using DFT one basically derives the Hamiltonian for a many body system. The derived Hamiltonian is then transformed to obtain various electronic properties of the system. For transport calculations, one has to further apply a...- collpitt
- Post #5
- Forum: Atomic and Condensed Matter
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Graduate Level Broadening at interfaces
Dear all, I have a question regarding electronic transport in a device with length smaller than the phase relaxation length. Consider a coherent device with an interface in the middle. The interface would act as a scatterer and the electron distribution across the interface would be...- collpitt
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- Broadening
- Replies: 1
- Forum: Atomic and Condensed Matter
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Designing Cantilever Beams for Controlled Fracturing in MEMs Accelerometers
Firstly, I think what you are talking about here is the fracturing of the device and not breaking. The parameters which can be used to control this phenomenon would be the, tensile strength of the substrate material, and the device dimensions. For example does your cantilever beam have a proof...- collpitt
- Post #3
- Forum: Mechanical Engineering
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Graduate While defining a graphene structure
Hello! I am a student and have just started studying about graphene. However I am having quite a lot of problems understanding the crystal structure, specifically, I am unable to place certain terms. These being : 1. Basis vectors.(I do understand what a basis vector...- collpitt
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- Graphene Structure
- Replies: 2
- Forum: Atomic and Condensed Matter
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Solving a time independent Schrodinger equation
Yesss! Thank you! I believe it can be reduced to the hypergeometric form. Thank you very much genericusrnme ! I will post the solution as soon as I finish.- collpitt
- Post #7
- Forum: Advanced Physics Homework Help
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Solving a time independent Schrodinger equation
Yes. But I am unable to reduce the equation to any of the forms I know (bessel, legendre, laguerre, hermite, chebyshev).- collpitt
- Post #5
- Forum: Advanced Physics Homework Help
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Solving a time independent Schrodinger equation
Yes, δ, E, p are all constants. I am trying to solve it by defining z = y(x) and changing the differential equation. But it is getting quite complicated. :( Any help would be gladly appreciated.- collpitt
- Post #3
- Forum: Advanced Physics Homework Help
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Excited electrons and spectral lines
Hello! I think that the electron having a shorter lifetime would show wider spectral lines. I think you have to change your approach towards the problem. Try to use the uncertainty principle to get your answer. Do look at the proof that I have provided.- collpitt
- Post #2
- Forum: Advanced Physics Homework Help
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Interesting integration problem
Well actually it is sort of a homework problem and unfortunately, it is indefinite. I am looking for a numerical solution by defining the limits. It would be very helpful if you could give me a good algorithm for the numerical integration. Thank you!- collpitt
- Post #3
- Forum: Calculus and Beyond Homework Help
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Interesting integration problem
Homework Statement In the given integral, both A and B are constants. Homework Equations ∫{[A+(1/x²-Bx)]^1/2}dx The Attempt at a Solution Well, I have solved the problem by expanding the root and considering the first two terms only, but it gives a very crude approximation of...- collpitt
- Thread
- Integration Interesting
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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Solving a time independent Schrodinger equation
Homework Statement Hello! I am currently stuck with a time independent Schrödinger equation where the potential "V(x)" is hyperbolic in nature. I was wondering if anyone could give me a hint as to how I should approach this problem in order to get an analytical solution (without using...- collpitt
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- Independent Schrödinger Schrodinger equation Time
- Replies: 6
- Forum: Advanced Physics Homework Help