Bohm Mechanics and Quantum Chaos

In summary, There is no clear evidence that Bohm Mechanics and weak measurement could be useful in understanding Quantum Chaos theories. However, it is possible to do a project combining the two theories if there is a successful attempt done before.
  • #1
Mannix99
5
0
Hello everyone,
I would like to know if Bohm Mechanics (and weak measurement) could be useful in understanding Quantum Chaos theories?
I'm currently in search of a PhD in Foundation of QM and I would like to know if doing a project that combine the trajectories coming from Bohm Mechanics with the current state of Quantum Chaos could be possible or desirable?
I have just graduated from a MSc in Theoretical Physics in London and I did my project on Bohm Mechanics and Weak Measurement but I don't know much about Quantum Chaos excepted that it uses semi-classical models in order to go away with trajectories in QM (as they don't exist according to Copenhagen Interpretation).

Do you know of any successful attempt to use theses two theories?
 
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  • #2
See

http://arxiv.org/abs/quant-ph/9506026

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.7321

http://www.google.hr/url?q=http://144.206.159.178/ft/847/30053/519520.pdf&sa=U&ei=S_oQUeKAKYHZtAbQn4HYBg&ved=0CBoQFjAD&usg=AFQjCNFK_Fvx8M894HLPYBpNSFYdNa6DEg

http://www.google.hr/url?q=http://www.equantum.eu/fileadmin/media/documents/WorkshopAthens/lectureEfthymiopoulos.pdf&sa=U&ei=S_oQUeKAKYHZtAbQn4HYBg&ved=0CBwQFjAE&usg=AFQjCNGtSDNisYLgLvddqJrWP4qXeYpwEA

http://iopscience.iop.org/0305-4470/39/8/004

http://philpapers.org/rec/CUSBII

http://www.researchgate.net/publication/230917543_Motion_of_vortices_implies_chaos_in_Bohmian_mechanics

http://www.google.hr/url?q=ftp://79.110.128.93/books/physics,%2520math/%25D0%2596%25D1%2583%25D1%2580%25D0%25BD%25D0%25B0%25D0%25BB%25D1%258B/Phys%2520Letters%2520A/Volume%2520238,%2520Issues%25202-3,%2520pp.%252073-211%2520(2%2520February%25201998)/S.%2520Konkel,%2520A.%2520J.%2520Makowski%2520-%2520Regular%2520and%2520chaotic%2520causal%2520trajectories%2520for%2520the%2520Bohm%2520potential%2520in%2520a%2520restricted%2520space.pdf&sa=U&ei=t_sQUZeKMofJsgae9IDAAw&ved=0CBsQFjAEOAo&usg=AFQjCNFoB3h-MIRe5po8RfPeXsp1bqvhGQ

http://www.google.hr/url?q=http://a...jAGOAo&usg=AFQjCNEXTLRWqury72462uw6abPdzu08zg

http://www.google.hr/url?q=http://e...jAHOAo&usg=AFQjCNH6i8Dc_xIqQpckrBYGRwkamDAVLQ

http://www.sciencedirect.com/science/article/pii/S0375960199006295

http://www.google.hr/url?q=http://p...jAIOBQ&usg=AFQjCNG-nyNGxNc1fOy945hOVcjpYdQesw
 
Last edited by a moderator:
  • #3
Thank you Demystifier. It looks like that this area of research is not very popular... Most of the papers are from the late nineties...
 
  • #4
Perhaps you can make it more popular? :smile:
 

FAQ: Bohm Mechanics and Quantum Chaos

1. What is Bohm Mechanics?

Bohm Mechanics, also known as the de Broglie-Bohm theory, is a deterministic interpretation of quantum mechanics. It proposes that particles have definite positions and trajectories, contrary to the probabilistic nature of quantum mechanics.

2. How does Bohm Mechanics differ from traditional quantum mechanics?

In traditional quantum mechanics, particles are described by wavefunctions and their behavior is described by probability distributions. In Bohm Mechanics, particles have definite positions and trajectories, and the wavefunction acts as a guiding pilot wave that determines the behavior of the particles.

3. What is Quantum Chaos?

Quantum Chaos is the study of chaotic behavior in quantum systems. It combines principles from classical chaos theory and quantum mechanics to understand how chaotic behavior emerges in the microscopic world.

4. How does Bohm Mechanics relate to Quantum Chaos?

Bohm Mechanics can be used to study quantum chaos by providing a deterministic framework for understanding chaotic behavior in quantum systems. It has been applied to various chaotic systems, such as the quantum billiard and the double-slit experiment.

5. What are the potential implications of Bohm Mechanics and Quantum Chaos?

The implications of Bohm Mechanics and Quantum Chaos are still being explored, but they could potentially provide a deeper understanding of the fundamental nature of reality and help reconcile the differences between classical and quantum mechanics. They may also have practical applications in fields such as quantum computing and cryptography.

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