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Most useful QM formalism?by ice109
Tags: formalism 
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#1
Nov2407, 06:56 PM

P: 1,705

we have shroedinger's differential equation, heisenberg's matrix mechanics, dirac's formalism, and feynman sum over histories stuff.
now i may be wrong and and i really don't know anything but i think that these are all equivalent and some even the same thing. but if im going to learn QM for keeps, which is the most useful formalism? i see the point in wasting time learning one and then relearning how to do the same thing a different way. i think i might as well learn the best and just use that. any dissenting opinions on my aforementioned opinion appreciated. thx. 


#2
Nov2407, 08:02 PM

Sci Advisor
PF Gold
P: 1,474

You'll learn all of them during your studies.



#3
Nov2407, 08:17 PM

P: 1,705




#4
Nov2407, 08:51 PM

P: 529

Most useful QM formalism?
Your laziness impresses me, but ice is right. Besides, you don't have to learn the same things over and over again. The methods are complimentary.
Edit: I meant Dr Transport is right. 


#5
Nov2407, 09:19 PM

Sci Advisor
P: 779

Sorry, ice109  there is no one good choice. The literature covers all of them, so if you want to understand papers, you need all the formalisms. But they're not all that hard! Once you learned the fundamentals, going from Schrodinger to Heisenberg, for example, is no trouble. 


#6
Nov2407, 11:08 PM

P: 1,705

im not worried about the difficulty, just the annoyance.



#7
Nov2407, 11:35 PM

P: 529

Well I'm writing a paper at the moment where I use both Feynman pathintegral and Schrodinger's equation to find particle momenta. I also solve S.E. using a matrix method, which connects with Heisenberg's formulation. Does that answer your question?



#8
Nov2507, 09:24 AM

Sci Advisor
PF Gold
P: 1,474




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