- #1
pellman
- 684
- 5
We are discussing the Demystifier's paper "Quantum mechanics: myths and facts". http://xxx.lanl.gov/abs/quant-ph/0609163
Myth 1 is discussed here:
https://www.physicsforums.com/showthread.php?t=229497
The myth 1 thread is still alive but, personally, I would like to press on. I will be offline for most of the month of June and want to get through all these, if possible.
In QM, there is a time-energy uncertainty relation
The topic is the claim that the common statement that time and energy are related by an uncertainty relation similar to that for position and momentum is a myth. By myths we mean widely repeated statements which, true or false, are not something we can validly assert given our current understanding.
I have a preliminary question. I have seen the statement that the energy operator is the hamiltonian and not [tex]i\hbar \frac{\partial}{\partial t}[/tex]. That is not how I would put it, though I am quite ready to admit I know little about it. But I would have supposed that [tex]i\hbar \frac{\partial}{\partial t}[/tex] really is the energy operator [tex]E[/tex] and that the condition
[tex]H|\psi\rangle = i\hbar \frac{\partial}{\partial t}|\psi\rangle [/tex]
is a constraint of sorts, telling us a relation between the energy and the other variables which physical systems must satisfy.
Could someone else elaborate on the relationship between E and H?
Myth 1 is discussed here:
https://www.physicsforums.com/showthread.php?t=229497
The myth 1 thread is still alive but, personally, I would like to press on. I will be offline for most of the month of June and want to get through all these, if possible.
In QM, there is a time-energy uncertainty relation
The topic is the claim that the common statement that time and energy are related by an uncertainty relation similar to that for position and momentum is a myth. By myths we mean widely repeated statements which, true or false, are not something we can validly assert given our current understanding.
I have a preliminary question. I have seen the statement that the energy operator is the hamiltonian and not [tex]i\hbar \frac{\partial}{\partial t}[/tex]. That is not how I would put it, though I am quite ready to admit I know little about it. But I would have supposed that [tex]i\hbar \frac{\partial}{\partial t}[/tex] really is the energy operator [tex]E[/tex] and that the condition
[tex]H|\psi\rangle = i\hbar \frac{\partial}{\partial t}|\psi\rangle [/tex]
is a constraint of sorts, telling us a relation between the energy and the other variables which physical systems must satisfy.
Could someone else elaborate on the relationship between E and H?