Questions tagged [bohmian-mechanics]
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31
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Calculate the entropy per atom in Bohmian Mechanics
Bohmian mechanics description of a large number of interacting atoms would require a large phase space due to the large number of classical degrees of freedom. The entropy per atom is given as the ...
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Is Bohmian mechanics incompatible with Leggett inequality?
As far as I know violation of Bell's theorem is not a problem for De Broglie–Bohm theory because this theory is explicitly nonlocal; But since the violation of Leggett inequality is considered to ...
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Can the Aharonov-Bohm experiment also be described by conditional probablilties, like the simple double slit?
The most attractive description of the double slit experiment for me is that in Beltrametti and Cassinelli's book.$^{[1]}$ The essence of their description is the following.
Beltrametti-Cassinelli ...
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Can the pilot wave in Bohmian mechanics be derived from velocity-dependent potential?
In the derivation of the pilot wave, Bohm wrote the Schrodinger equation in this way:
\begin{equation}
\frac{\partial{S}}{\partial{t}} + \frac{(\nabla{S})^2}{2m} + V(x,t) - \frac{\hbar^2}{4m}[\frac{...
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Is there a video of a double-slit experiment using walking oil droplets (aka dotwaves)?
I've heard there have been experiments with walking droplets in a double-slit setup, and I've seen videos of many of the other quantum phenomenons walking droplets can emulate, but I can't find one of ...
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How does pilot wave theory expain delayed choice quantum eraser experiment?
I have heard that pilot wave theory adequately explains all quantum phenomenon and is an alternative to the more mainstream Copenhagen interpretation.
We have an experiment called the delayed choice ...
2
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1
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Measurement of Position in Bohmian Mechanics
In many formulations of Bohmian mechanics, researchers seem to claim that 1) measurements of observables such as spin are just measurements of the position of a pointer variable, such as the Stern-...
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How does Bohmian Mechanics explain superconductivity?
I'm looking for sources that discuss how Bohmian Mechanics explains superconductivity. Are there still Cooper pairs? Phonons? I saw one vague reference to vortices, but no details. This is my first ...
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Why does Bell's field theory model need to be stochastic on a space-time lattice?
In "Beables for quantum field theory", John Bell has presented a realistic interpretation of any fermionic quantum field theory, along the pilot-wave ideas. This model is formulated on a spatial lattice ...
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Does a pilot-wave theory need to be stochastic in a discrete space-time?
I have found an article about Bohmian mechanics on a lattice with discrete space and time, the link of which is given below:
https://arxiv.org/abs/1606.02883
Here the motion of quantum particles is ...
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How are can there be initial conditions in Bohmian mechanics that disobey the Born rule if Gleason's theorem is true?
Gleason's theorem constrains the possible measures that are allowed on Hilbert spaces of dimension $\ge 3$. It is often said that Gleason's theorem essentially says that the Born rule is the ...
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Do I understand De Broglie–Bohm theory correctly?
In the interpretation of quantum mechanics developed by David Bohm (De Broglie–Bohm theory), the wave function is considered as a real-life physical field that evolves according to the Schrödinger ...
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What is the ontological status of gauge fields/virtual particles/electron radiation in Dirac sea model of Bohmian QFT?
I have been reading about this model - it is a model without actual particle creation or annihilation, particles move deterministically according to Bohm's law, the Dirac sea is used to explain away ...
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1
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If we know the inital state of a quantum field can we predict its later state?
If we have the wavefunctional $\Phi[\psi]$ which tells us the probability density for finding $\psi$. Let's say we know the exact field state at $t=0;$ $\psi(x,0)$. Can we use the wavefunctional $\Phi[...
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How do electrons stay in orbitals in Bohmian Mechanics?
I've been reading various realist interpretations of quantum mechanics and in Bohmian Mechanics, I found that the "wave" aspect of a quantum particle is removed from the particle to preserve ...
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How does the superposition of states come up in Bohmian Mechanics?
In Bohmian Mechanics, it assumes a universal wave field in which particle's motion can be calculated using Newton's law of motion:
\begin{equation}
m\frac{d^{2}x}{dt^{2}} = - \nabla(V+U)
\end{...
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De-Broglie Wavelength and the Pilot Wave Theory
I researched a lot of questions on De-Broglie waves on this website and discovered a dense fog of confusion amongst everyone. Louis De-Broglie proposed "Matter Waves" and a simple equation describing ...
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In the pilot-wave theory, is the quantum potential moving electrons randomly inside atoms?
As we know, in the pilot-wave theory (Bohmian mechanics), particles are guided on certain trajectories by the wavefunction. Here (In Bohmian mechanics, do electrons move inside an atom?) I asked about ...
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Bosons in Bohmian mechanics
I would like to know if even bosons in the same quantum state, like in a BEC, can be discerned (by their positions) in Bohm's mechanics.
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In a pilot-wave model, is knowing the position of the particle sufficient for predicting its behavior?
Suppose that we somehow exactly know the position of an electron before hitting the double-slit structure (for example we know it's 20cm away from the structure and it's closer to the left slit). In ...
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Loschmidt's paradox in Bohmian Mechanics
In Bohmian mechanics, the position of the particles must have a random distribution given by $\rho = |\Psi|^2$, where $\Psi$ is the wave function, in order to be compatible with Born rule in standard ...
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Is there a name for Bohmian pilot wave theory with an ensemble of jockey particles?
In Bohmian QM, the wave function $\psi$ is moving a classical point particle around. Without effort, it could also move a large
ensemble of particles (since there is no back reaction).
Is there a name ...
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Particles in an interferometer in a gravitational field
Let's assume one has a standard interferometer, consisting of an incoming beam which gets splitted in beam I and II and then culminated again. Now the interferometer is placed in a gravitational field,...
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Why can we not know the position of a particle in Bohmian Mechanics?
I can't seem to understand this. In Bohmian mechanics, particles have definite positions and are guided by a wave function governed deterministically by Schrodinger's equation. So if you knew a ...
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What does happen if we use a delta function for density on the De Broglie–Bohm theory?
I was reading Pilot wave theory and De Broglie–Bohm theory pages on Wikipedia that I found how similar they are comparing to classical physics and I wondered what happens if we just replace the ...
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Bohmian vs Copenhagen Interpretation
Is there any experiment that could settle the debate between De Broglie - Bohm Pilot Wave Theory and the Copenhagen Interpretation?
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Is 'measurement' deterministic in the pilot wave theory?
From what I read, measurements in pilot wave theory affect the particles as well as the guiding waves. Is it a random process or is everything deterministic according to the theory?
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Does this thought experiment proves that Standard Quantum Mechanics and Pilot Wave Theory make different predictions?
Here is a thought experiment that is supposed to show that standard quantum mechanics and pilot wave theory do not make the same prediction :
Take the double slit experiment, and add a detector in ...
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In Bohmian mechanics, it the uncertainty due to non-locality?
In the pilot-wave interpretation of quantum mechanics, each particle is driven by the pilot wave on the universal configuration space, and therefore its trajectory is determined nonlocally, and ...
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If Pilot wave theory turns out to be the correct way of interpreting quantum mechanics what are the implications?
I've read a few articles on Pilot Wave theory. Part of the theory describes how particles have a deterministic path and particles can't be in two places at once. If this turned out to be true would ...
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What is the shape of the initial universal wavefunction?
In the many-worlds theory and Bohmian mechanics, the universe has an "initial" "universal" wavefunction which then evolves according to the Schrodinger's equation and determines the future of the ...