Zwiebach Page 194 Q11.3: Understanding "Viewing" a Time-Dependent Heisenberg Op.

  • Thread starter Thread starter ehrenfest
  • Start date Start date
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
ehrenfest
Messages
2,001
Reaction score
1

Homework Statement


I am confused about Quick Calculation 11.3. What does he mean "by viewing x_0^I as the explicitly time-dependent Heisenberg operator defined by (11.38)"?

Specifically, what does "viewing" mean?


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
This one is not clear to me either. However, what I did was assume that [itex]x_0^I[/itex] does have explicit time dependence by rewriting equation (11.38) on page 193 as

[tex]x_0^I(\tau) = x^I(\tau) - \frac{p^I}{m^2}\tau[/tex]

and then showing that the derivative w.r.t. [itex]\tau[/itex] is zero. It's not hard enough to justify a QC though.