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theories:quantum_mechanics:bohmian [2018/04/08 17:08]
georgefarr ↷ Page moved from theories:quantum_mechanics:bohmian_mechanics to theories:bohmian_mechanics
theories:quantum_mechanics:bohmian [2018/09/24 05:33] (current)
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 This is nicely visualized [[https://​www.youtube.com/​watch?​v=WIyTZDHuarQ|this video by Veritasium]]. ​ This is nicely visualized [[https://​www.youtube.com/​watch?​v=WIyTZDHuarQ|this video by Veritasium]]. ​
 +
 +----
 +
 +  * See also the visualizations of Bohmian mechanics by the university of Innsbruck [[http://​bohm-c705.uibk.ac.at/​|here]].
  
 <tabbox Concrete> ​ <tabbox Concrete> ​
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 This results in two equation, one continuity equation, and one equation that looks exactly like the Hamilton-Jacobi equation of classical mechanics plus an extra term. [[http://​journals.aps.org/​archive/​abstract/​10.1103/​PhysRev.85.166|A very natural interpretation]] of this extra term is as an extra potential. This extra potential is responsible for the quantum-like behaviour and makes all the difference between quantum and classical mechanics. This is often regarded to as "​Pilot-Wave",​ which is in some sense analogous to the bouncing droplet wave. This results in two equation, one continuity equation, and one equation that looks exactly like the Hamilton-Jacobi equation of classical mechanics plus an extra term. [[http://​journals.aps.org/​archive/​abstract/​10.1103/​PhysRev.85.166|A very natural interpretation]] of this extra term is as an extra potential. This extra potential is responsible for the quantum-like behaviour and makes all the difference between quantum and classical mechanics. This is often regarded to as "​Pilot-Wave",​ which is in some sense analogous to the bouncing droplet wave.
  
-Because both theories, Quantum Mechanics and Bohmian Mechanics, originate in the same equation, their experimental predictions are the same. The difference lies in the interpretation: Classical Mechanics plus some strangecomplicatedextra potential or something completely newabsolutely strange.+Because both formulations[[theories:​quantum_mechanics:​canonical|Canonical ​Quantum Mechanics]] and Bohmian Mechanics, originate in the same equation, their experimental predictions are the same. The difference lies in the interpretation
 + 
 +<note important>​For relatively obscure reasons Bohmian mechanics is quite unpopular and not well known. One contributing factor is that the originator of Bohmian mechanicsDavid Bohmfell victim to the McCarthy era anti-communist witch hunt. Bohm fled to Brazil and became a tainted figure in the eyes of many.  
 + 
 +<​blockquote>​ 
 +In the end Oppenheimer announced 
 + 
 +>"​If we can't disprove Bohm we must all agree to ignore him."  
 + 
 +Even today many of the older generation of physicists will tell you that Bohm's approach to quantum theory [...] is incorrect. In most cases it turn out that they haven'​t even read his papers andwhen pressed as to the nature of the error in Bohm's approach, they will say that they don't actually know, but they do "​know"​ that Bohm is wrong.  
 +<​cite>​Pathways of Chance by FDavid Peat</​cite></​blockquote>​  
 + 
 +</​note>​
  
  
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 **Recommended Resources** **Recommended Resources**
  
-  * http://​inference-review.com/​article/​on-bohmian-mechanics+  * [[http://​inference-review.com/​article/​on-bohmian-mechanics|On Bohmian Mechanics]] - an email exchange by Sheldon Goldstein & Steven Weinberg
   * See also [[https://​arxiv.org/​pdf/​quant-ph/​0412119.pdf|Why isn’t every physicist a Bohmian?]] by Oliver Passon ​   * See also [[https://​arxiv.org/​pdf/​quant-ph/​0412119.pdf|Why isn’t every physicist a Bohmian?]] by Oliver Passon ​
   * [[https://​arxiv.org/​abs/​1210.7265|The Pilot-Wave Perspective on Quantum Scattering and Tunneling]] by Travis Norsen   * [[https://​arxiv.org/​abs/​1210.7265|The Pilot-Wave Perspective on Quantum Scattering and Tunneling]] by Travis Norsen
 +  * [[http://​www.tcm.phy.cam.ac.uk/​~mdt26/​pilot_waves.html|De Broglie-Bohm pilot-wave theory and the foundations of quantum mechanics]] - graduate lecture course by by Mike Towler 
 +  * www.bohmian-mechanics.net/​ - "the homepage of the international research network on Bohmian Mechanics"​
  
  
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 ---- ----
 +
 +<​blockquote>​The Bohmian approach is the best way of
 +understanding the particle-wave dichotomy, with
 +its local and non-local aspects. It ran into difficulties
 +with quantum-field theory, but with new
 +ideas I think the difficulties can be circumvented.
 +I predict that Bohm will be seen as far ahead of
 +his time.
 +
 +<​cite>​[[https://​www.uv.es/​~azcarrag/​pdf/​2018%20REF%20Conversation%20Atiyah%20English.pdf|M. F. Atiyah]]</​cite></​blockquote>​
  
 <​blockquote>​ <​blockquote>​
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 <​cite>​Sheldon Goldstein in http://​inference-review.com/​article/​on-bohmian-mechanics</​cite>​ <​cite>​Sheldon Goldstein in http://​inference-review.com/​article/​on-bohmian-mechanics</​cite>​
 </​blockquote>​ </​blockquote>​
 +
 +<​blockquote>​What is not widely understood, even amongst physicists, is that a belief in the mystical aspects of the theory is a choice that one makes, rather than something inevitable. One formulation of quantum mechanics - long ignored or derided by just about everyone - which makes this particularly clear is the pilot-wave theory (also known as Bohmian mechanics, de Broglie-Bohm theory, the causal or ontological interpretation of QM). In this theory, wave particle duality is explained through the startlingly sensible notion of having both waves and particles (think about how that makes the double slit experiment intelligible!). So unlike in orthodox QM - where the wave function is all there is - the particles have an objectively real existence and they move along trajectories,​ guided by the waves. In such a formalism the standard paradoxes related to measurement,​ observation or wave function collapse (Schrödinger'​s cat, and so on) simply evaporate. The classical limit emerges out of the theory, rather than being presupposed. All the '​talk'​ is replaced by sharply-defined mathematics,​ it becomes possible to '​visualize'​ the reality of most quantum events, and - most importantly - the theory is completely consistent with the full range of QM predictive-observational data.
 +<​cite>​http://​www.tcm.phy.cam.ac.uk/​~mdt26/​pilot_waves.html</​cite></​blockquote>​
  
 <tabbox FAQ> ​ <tabbox FAQ> ​
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 <​cite>​[[https://​twitter.com/​FreelanceAstro/​status/​966753765633155072|Adam Becker]]</​cite>​ <​cite>​[[https://​twitter.com/​FreelanceAstro/​status/​966753765633155072|Adam Becker]]</​cite>​
 </​blockquote>​ </​blockquote>​
 +
 +
 +
  
  
theories/quantum_mechanics/bohmian.1523200108.txt.gz · Last modified: 2018/04/08 15:08 (external edit)