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classes:2009:fall:phys4101.001:q_a_1030

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classes:2009:fall:phys4101.001:q_a_1030 [2009/11/02 08:49] – x500_sohnx020classes:2009:fall:phys4101.001:q_a_1030 [2009/11/30 16:32] (current) – youmans
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 ===Hardy 11:20 - 11/01/09==== ===Hardy 11:20 - 11/01/09====
 I also have a hard time to understanding the math inside this equation. It turns out to be equivalent to the proof of equation [3.31] in our textbook. I think the technique used in the proof must be very tricky and just a matter of math. I also have a hard time to understanding the math inside this equation. It turns out to be equivalent to the proof of equation [3.31] in our textbook. I think the technique used in the proof must be very tricky and just a matter of math.
 +
 +===Blackbox 2:10 - 11/01/09====
 +Yes, it' a kind of Fourier trick. If you look at the equation 2.144, then you would understand how this proof has been made.
 +
 +=== Can 10:48 11/06/09 ===
 +For Chap <f_p'|f_p> = d(p-p'), look at this equation, if p'=p, then d(p'-p)=d(0), and d(p'-p)=0 otherwise. Mathematically, d(0)=1, the physical meaning behind it is the orthonormal of wave function in momentum space.
  
 ====ralph - 11:10AM 10/29/09==== ====ralph - 11:10AM 10/29/09====
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 I think the point Griffiths is trying to make is that the momentum-position uncertainty principle resembles the energy-time uncertainty principle, primarily because the uncertainty for both is <math>\hbar/2</math>.  Although the two uncertainty principles are correlated in special relativity, the quantum mechanics we are dealing with is nonrelativistic, so they are very different.  Specifically, the energy-time uncertainty principle deals with time, which we typically consider to be an independent variable. I think the point Griffiths is trying to make is that the momentum-position uncertainty principle resembles the energy-time uncertainty principle, primarily because the uncertainty for both is <math>\hbar/2</math>.  Although the two uncertainty principles are correlated in special relativity, the quantum mechanics we are dealing with is nonrelativistic, so they are very different.  Specifically, the energy-time uncertainty principle deals with time, which we typically consider to be an independent variable.
  
-====Blackbox 8:40AM 11/1/09==== +====Dagny====
-Could anyone show me how to derive [3.31]? +
- +
  
 +What is a good method for finding the determinant of an nxn matrix? Do you think we will need to be able to find such a determinant in this class? Why or why not?
  
 +====Jake22 4:30 11/30/2009====
 +Must all non-degenerate energy eigenfunctions be parity eigenfunctions?
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classes/2009/fall/phys4101.001/q_a_1030.1257173399.txt.gz · Last modified: 2009/11/02 08:49 by x500_sohnx020

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