All Questions
Tagged with computational-physics quantum-mechanics
35
questions
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Will hashing become vulnerable to quantum computers?
My knowledge of these subjects is reasonable but limited so please correct anything I say that is wrong.
As I understand a hash, with today's technology, is virtually irreversible.
Also, any good hash ...
- 111
2
votes
0
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108
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How can we symbolically working out $\phi^4$ theory green's function/propagator and consequences in python?
I am having some difficulty calculating Green's function symbolically in Python for $\phi^4$ theory.
The specific rendition of the $\phi^4$ theory I have in mind can be written as follows.
$\mathcal{L}...
- 121
1
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0
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31
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How can the current-voltage relationship of a series of tunneling junctions be most easily computed?
I'm working on a research project with my professor where we're trying to figure out how to determine the necessary semiconductor composition for a solar cell to have a particular bandgap in order to ...
1
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1
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135
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Free Time Dependent Schrodinger Equation with Inhomogeneous Dirichlet boundary
There exists a FFT-based method to solve the poisson equation in inhomogeneous Dirichlet boundary condition using the sine-transform. For example, Which fourier series is needed to solve a 2D poisson ...
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0
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269
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Monte Carlo simulation for the quantum oscillator in the path integral approach
The theory
Consider a quantum harmonic oscillator described by the potential $V(q)=\frac{1}{2}m\omega^2 x^2$. In the path integral formulation, the partition function can be written as $$Z\propto\int ...
2
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39
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Problem with Time Evolving Block Decimation for small finite chains
Preliminary definitions:
I have a code that uses TEBD (https://en.wikipedia.org/wiki/Time-evolving_block_decimation) to perform time evolution of a given Matrix Product State (MPS), lets call it $|\...
- 121
1
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1
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263
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Schrodinger's Equation differential
I am working on a modified version of Schrodinger's equation (time-independent) where $\frac{d^2ψ}{dx^2}=-2(E-V)ψ$, where I have to consider $V = 0$ at all times.
I have been asked to use Python in ...
1
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1
answer
1k
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Numerical Solution of the Schrödinger equation for hydrogen
I'm trying to solve the Schrödinger equation for the hydrogen atom in the following form numerically:
$$\left[-\frac{\hbar^2}{2m}\frac{d^2}{dr^2}+V(r)+\frac{\hbar^2l(l+1)}{2mr^2}\right]R(r)=ER(r).$$
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0
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0
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97
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Numerov method for 1D potential barrier problem: numerical errors
I wanted to solve a 1D potential barrier problem. It seemed easy enough to do: set a travelling wave coming from the left, part of it gets reflected by the barrier, and part of it gets gets ...
- 101
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1
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188
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Computing eigenvalues of Schrodinger equation with spin
I want to solve a 2-dimensional particle in box problem with two electrons in the quantum well.I would like to take into account spin of electrons and Coulomb interactions to compute singlet and ...
- 21
1
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0
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425
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How to compute the Eigenvalue and Eigenstates of Quantum well with Effective mass using finite difference method in Python?
I want to compute the eigenvalues and eigenstates of a quantum well with different effective masses of electron in the barrier and in the quantum well. As can be seen [1]: https://github.com/mholtrop/...
- 21
1
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81
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Weird behavior in for solving TISE in harmonic oscillator potential using the shooting method
I was solving the time independent Schrödinger equation using the shooting method for harmonic oscillator potential. This is the code that I wrote for that with the results (code is written in julia):
...
- 11
2
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93
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Finding the extrema of a transition probability function for a quantum walker on a graph
The goal
Implement some Python code to find the extrema points of a function that is strongly oscillating.
The background
Let $G$ be a connected graph with $n$ points with Laplacian matrix $L(G)$. We ...
3
votes
0
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159
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Python routine to calculate shape resonances of H2
I am currently doing a project in which my aim is to write a program that can be used to calculate single and multi-channel shape resonances. So I'm looking at bound states and quasi-bound states.
...
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2
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1
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217
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Why is Time evolving block decimation so efficient?
I have a short question about Time evolving block decimation (TEBD). During a lecture I was told that this method is very efficient in evolving 1D quantum spin systems with only nearest neighbor ...
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