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Questions tagged [bohmian-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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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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What is the derivation of the wave guiding equation in Bohmian Mechanics?

I've been looking around the internet for a proof of the waveguiding equation in Bohmian mechanics but I can't find one anywhere. I know that Bohmian Mechanics is a frowned upon theory, but it hasn't ...
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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 ...
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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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Is Bohmian mechanics really incompatible with relativity?

This is something I've been wondering about. For those who don't know, Bohmian mechanics is an interpretation of quantum mechanics that is in the class of what are known as "hidden variable theories", ...
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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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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 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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73 views

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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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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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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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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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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Consistency in guidance equation Bohmian mechanics, momentum or velocity?

One justification for the guidance equation in Bohmian mechanics comes from a polar decomposition of the Schrödinger equation. Making such a decomposition $\psi = \sqrt\rho e^{i S} $ and collecting ...
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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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Is there any Bohmian approach to quantum electrodynamics?

I know that in some Bohmian papers (like https://arxiv.org/abs/quant-ph/0303156), electron-positron pair creation and annihilation is modeled by different methods like stochastic jumps in the ...
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What are Bohmian trajectories for a free electron?

A free electron, or any other quantum particle, has an uncertain position/momentum, according to Heisenberg uncertainty principle. The squared amplitude of the wavefunction determines the probability ...
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Non-locality of the Madelung equations?

As far as I understand, the Madelung equations $$ \frac{\partial \rho}{\partial t} + \nabla \cdot \rho \mathbf{u} = 0 \\ \frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} = -\...