On Friday, September 5, 2025 at 12:59:54 PM UTC-6 John Clark wrote:

On Fri, Sep 5, 2025 at 9:44 AM Alan Grayson <[email protected]> wrote:

*>>  A "free particle" is a particle that is not subject to ANY external 
force or have any potential energy, so its total energy is kinetic. That 
makes things simpler and as a result the quantum wave function is just a 
plane wave. But in the real world things are more complicated because "free 
particles" do not exist.   *


*> But we can imagine a free particle in empty space*


*If you're forcing a particle to go through two slips in a wall before it 
reaches a detector screen then it is not a free particle. *


*Right, and that's why the double slit experiment cannot exactly reproduce 
the wf results for particles, inclusive of photons. AG* 


*>and we do that often. *


*College professors often do that because it makes a problem much simpler, 
so simple he can give it as a homework problem and his students might 
actually have a fighting chance of actually being able to solve it.  But 
nobody does it because we often (or ever) see a "free particle" in nature. *


*Einstein and other notables also do that, habitually. And that's the 
reason S's equation is used in teaching QM, because it is easily solved. 
I've never seen a solution to Dirac's equation. AG *


*> So, IMO, there's no way to get a particle's wf from a double slit 
experiment,*


*Perhaps you should consider changing your opinion. In his book 
"The Feynman Lectures on Physics", Richard Feynman said "the two slit 
experiment contains all the mysteries in Quantum Mechanics, a phenomenon 
impossible to explain in classical terms". *

*> Has the solution wf for the electron been solved? If so, by whom? Dirac?*


*As I've mentioned before, Dirac found a way for Quantum Mechanics and 
Special Relativity to live together in harmony, and he did it 97 years 
ago. To this day nobody has been able to do the same thing for General 
Relativity, it's the holy grail of physics. *


*But did Dirac actually SOLVE his equation? What does the solution look 
like? This raises another important issue IMO. He needed a special equation 
for the electron, implying, unlike S's equation, that all particle wf's can 
be determined as solutions to a single, the same differential equation.  
AG *

*  John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*
nws

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