# Question on Bohmian Intepretation

1. Nov 28, 2009

### JK423

One of the weird stuff in the Copenhagen interpretation are foundamental probabilities, which are not due to our lack of knowledge about the system.
However the Bohmian interpretation argues the opposite but we still dont know which one is correct (if any). Also, the B.I interprets differently the Heisenberg Uncertainty Principle such as ΔΕ Δτ~hbar.
Can someone tell me how this relation is interpreted in BI?
(Cause i want to see if its compatible with virtual particle creation..)
My basic question is about whether B.I. is forced to "accept" fundamental probabilities in order to explain the virtual particle creation..

JK

Last edited: Nov 28, 2009
2. Nov 30, 2009

### Demystifier

The uncertainty principle has nothing to do with virtual particle creation, neither in Copenhagen nor in Bohmian interpretation.
More precisely, virtual particle creation makes sense only in quantum fields theory, while the uncertainty principle exists in nonrelativistic quantum mechanics of fixed number of particles as well.

More on the uncertainty principle, virtual particles, Bohmian interpretation and other related and unrelated stuff can be found in
http://xxx.lanl.gov/abs/quant-ph/0609163 [Found.Phys.37:1563-1611,2007]

Last edited: Nov 30, 2009
3. Nov 30, 2009

### Demystifier

It is not. In fact, probabilities have not much to do with virtual particle creation. Quantum theory does not give the probability that a virtual pair will be created. It gives the probability that REAL particles will be created.

4. Nov 30, 2009

### JK423

What i know about virtual particles creation is the following:
Virtual particle owes its existance to the uncertainty relation ΔΕ*Δt~hbar.
It "borrows" energy ΔΕ and has a lifetime Δt~hbar/ΔE. Isnt that correct?
(At least thats what we are taught in 3rd year @ university)

I agree that we dont assign probabilities to virtual particle creation, but we know that the latter is not deterministic! We cant predict when its going to be created. But what i want to emphasize is that its not a deterministic process as far as we know. Shouldn`t the Bohmian intepretation be able -in principle- to describe virtual particle creation in a deterministic manner (with hidden variables ofcourse). e.g. to be able to tell us when a virtual particle would be created if we knew some initial condition.

Thanks a lot for the paper, im going to read it.

5. Dec 1, 2009

### Demystifier

It is often explained so in popular books, but it is not really correct.

First of all, virtual particle creation is - NOT REAL. They are not really created. Therefore, the Bohmian interpretation, or any other interpretation, does not describe virtual particle creation, neither in a deterministic nor in a probabilistic manner. Please, read Sec. 9.3 of the paper I mentioned above!