Re: Bohmian Mechanics Introduction
- From: Bjoern Feuerbacher <feuerbac@xxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Wed, 11 May 2005 11:35:43 +0200
Jason Pawloski wrote:
Greetings:
A while back, I was introduced to something which I believe was called Bohmian Mechanics (I think?). The whole idea of Bohmian mechanics was to have an auxiliary function that somehow helped solve the Schroedinger equation.
It would be news to me that Bohmian mechanics works like that.
AFAIK, it is based on writing the wave function as something like
a(x) e^(i b(x)), with *real* functions a and b, putting this ansatz
into the Schroedinger equation, deriving two differential equations from that, and solving those. IIRC, the differential equation for b
turns out to be a continuity equation (for the probability density).
Essentially the same ansatz as used for obtaining the WKB approximation - merely without doing any approximations. ;-)
The example that I saw was the solution to the Harmonic Oscillator, and I believe the auxiliary function was F(x) = x.
Sorry, I have no clue how that is supposed to help in solving the HO, and what it has to do with Bohmian mechanics.
This was a long time ago before I had ever taken a quantum mechanics class so I didn't realize how powerful this was.
I was just at the Barnes & Nobles and found "Quantum Mechanics" by Bohm (!) but didn't have any reference to this technique.
Are there any good books out there that covers Bohmian mechanics in more depth?
If a book by Bohm himself does not contain what you looked for, you might
consider that what you search isn't really part Bohmian mechanics, and you simply misremember.
Bye, Bjoern .
- References:
- Bohmian Mechanics Introduction
- From: Jason Pawloski
- Bohmian Mechanics Introduction
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