Questions tagged [bohmian-mechanics]
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How does a time-like vector field reduce to a vector field with a foliation in Bohmian Mechanics?
I was reading section 5 of the document below:
"We thus sketch here a possible relativistic generalization of the Bohmian dynamics that does not require a foliation, but merely a time-like ...
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1answer
58 views
How does the Bohm interpretation/pilot wave theory explain particles getting spontaneously created and destroyed?
Pilot wave theory says that classical particles are riding on waves.
Quantum field theory says that particles are the excitations of a field.
Both of these descriptions seem like essentially the same ...
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26 views
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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1answer
22 views
Different expressions for the guidance equation - how to show equivalence?
I assume it's not too difficult but I don't know how to show the equivalence between two different expressions of the guidance equation in Bohmian mechanics. The following is the form I already ...
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1answer
41 views
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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46 views
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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1answer
60 views
Spacetime as a medium for electromagnetic waves? [closed]
We typically break waves into two separate types mechanical waves and electromagnetic waves and treat them entirely differently based primarily on the observation that electromagnetic waves don't ...
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1answer
71 views
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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1answer
109 views
What are the objections to stochastic quantum mechanics?
I recently discovered the stochastic interpretation of quantum mechanics, which is different from the De Broglie-Bohm theory The best article I found on it was very much a comparison of the two by ...
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1answer
55 views
Regarding Pilot Wave Theory [duplicate]
Not as popular as the Copenhagen interpretation perhaps, but I'm truly intrigues to know the intricacies of the de Broglie-Bohm Theory. However, I could find absolutely no source which could teach me ...
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1answer
99 views
How does Bohmian mechanics explain the effect of information in the double-slit experiment?
De Broglie and David Bohm found a method (1952) that explains the double-slit experiment and its variations, which are so central to QM, in an intuitive way without appeal to probability, wave-...
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46 views
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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88 views
Is it possible to split a photon into two? And if so, how would Bohmian mechanics explain that?
In standard QM, photons are waves, but in Bohmian mechanics, photons are particles being guided by waves. So, if you split the wave, do you also split the particle? How would that work?
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37 views
How does the apparatus in QM cause the interruption of the interference pattern in the Pilot-Wave theory?
In the wikipedia page, it is written that the apparent collapse of the wave function in the Pilot-Wave theory happens because "the environment registering the detection effectively separates the ...
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1answer
85 views
Resolving the measurement problem with mathematical theorems? [closed]
The key debate, around the measurement problem is whether collapse should be interpreted as a physical process(Bohmian Mechanics) or as an immaterial process(e.g. Copenhagen Interpretation, ...
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1answer
100 views
Separation of Klein-Gordon-/Dirac-equation (Bohmian-mechanics)
With the function $R{ e }^{ \frac { i }{ \hbar } S }$ one can separate the Schrödinger equation
$$i \hbar \frac{\partial \psi}{\partial t}=\left(-\frac{\hbar^{2}}{2 m} \nabla^{2}+V\right) \psi$$
into ...
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78 views
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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46 views
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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69 views
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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0answers
38 views
Relativistic Bohmian Mechanics [duplicate]
Is there a relativistic interpretation of Bohmian Mechanics, akin to QFT for the Copenhagen Interpretation?
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133 views
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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1answer
44 views
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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1answer
210 views
Derivation of the Guiding Wave equation
I've been searching around the internet for a derivation of the guiding wave equation, but I can't find a derivation anywhere. I know that Bohmian Mechanics is not a mainstream idea but I was hoping ...
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83 views
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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62 views
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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50 views
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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3answers
223 views
In Bohmian mechanics, do electrons move inside an atom?
Look at http://www.bohmian-mechanics.net/whatisbm_pictures_hydrogen.html. It is mentioned that in the rest states of a bound electron, the position of the electron is stationary, since the ...
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1answer
56 views
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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2answers
66 views
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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0answers
98 views
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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2answers
206 views
Can quantum randomness be somehow explained by classical uncertainty? [closed]
In quantum mechanics, the outcome of each measurement is random, distributed according to the squared amplitude of the wave function obtained from the Schrodinger's equation. Now, can someone suggest ...
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14answers
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How could quantum effects occur in the early universe without an observer?
In inflationary cosmology, primordial quantum fluctuations in the process of inflation are considered responsible for the asymmetry and lumpiness of the universe that was shaped. However, according to ...
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2answers
538 views
Can particles popped into existence from the vacuum have electromagnetic effects on other particles?
I know my question might have problems, but I am curious about it. In quantum field theory, particle-antiparticle pairs continuously pop in and out of existence from vacuum. These particles have a ...
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2answers
206 views
What are the similarities/differences between the behaviors of Quantum particles and bouncing droplets? [duplicate]
Bouncing droplets on a fluid surface show many weird behaviors of the quantum world. Look at this for example:
https://arxiv.org/abs/1307.6920
They can show tunneling, double-slit interference ...
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1answer
221 views
Does (Tomas) Bohr's modified double slit argument really doom Couder's quantum/classical fluid dynamics analogy?
I'm just an amateur, probably why I find the de Broglie/Bohm/Couder approach to QM compelling. But Copenhagen struck back: in a coincidence, Bohr's grandson is a fluid physicist who claims that ...
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0answers
115 views
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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2answers
73 views
Can we have an arbitrary set of trajectories in Bohmian mechanics?
In Bohmian mechanics, the initial configurations and the pilot wave determine the future of the system. Given a set of initial positions for particles and a set of arbitrary trajectories, can we ...
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1answer
103 views
How did Big Bang determine the initial conditions of the universe?
My question is that how did the Big Bang determine the initial distribution of the particles and their wavefunctions? In theories like Bohmian mechanics or Many worlds, how was the universal ...
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89 views
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} = -\...
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1answer
146 views
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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0answers
81 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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1answer
255 views
Pilot-Wave vs. Quantum Mechanics vs. String Theory [closed]
I wanted to know that are the main shortcomings of contemporary Pilot-Wave theory which is holding it back from dominating physics departments? To what extent is the facukty biase, do you think, ...
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1answer
185 views
Bohm's view of double-slit experiment, wave-particle duality
I gather that Bohm denies the notion that the act of measurement decides whether a photon will be a wave or a particle. Bohm's idea seems to be that the photon is always a particle with a real ...
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226 views
Would pilot-wave gravity reconcile Bohmian mechanics with relativity? [closed]
I was reading Can Bohmian mechanics be made relativistic? from 2016 that attempts to reconcile Bohmian mechanics with relativity. It’s conclusion says:
Is such a theory then fundamentally—and/or ...
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1answer
60 views
How much is the amount of uncertainty in initial positions in Bohmian Mechanics?
In Bohmian mechanics, it is believed that the randomness (uncertainty, lack of knowledge) which is seen in the outcome of experiments is due to the uncertainty in the initial particle positions at the ...
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2answers
424 views
Is Bohmian mechanics wrong in the case that space and time are quantized?
Bohmian mechanics assumes that particle trajectories are continuous. Also, it claims the random outcome of certain experiments (like the double-slit experiment) to be due to the random initial ...
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3answers
346 views
Accessible resources for learning Bohmian mechanics? (Undergrad)
I am an undergraudate physics and math major. For context, I've taken senior level quantum 1 as well as real and complex analysis. I'd be really interested in focusing on understanding the ...
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1answer
83 views
Do we have a potential (quantum) in Bohm quantum mechanics that is associated with the phase factor $S$?
In Bohm quantum mechanics when we express the wavefunction as $\psi= R \exp(iS/\hbar)$ a quantum potential that depends on R is found, is there another potential that depends on the phase function S?
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1answer
50 views
Could two particles be released in parallel to test if their quantum probability waves interact, showing whether pilot waves exist?
What if you just release two streams of particles next to each other in parallel? Then you don't even need the double slits. See if their waves interact, and you'll know whether pilot waves are real ...
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2answers
502 views
Does Bohmian mechanics really solve the measurement problem?
I'm working a lot on Bohmian mechanics related theories and just realised something that had escaped me until now but actually seems to throw a wrench in the core idea of the theory. I tried to ...
