I checked and the velocity of the first astronaut is ##v=\frac{c \pi}{4}##.
If i want to solve the problem i should evaluate the 2 gamma factors, then the 2 proper times and set the difference equal to 1 year, but how is possible that the velocity of the non inertial astronaut is greater than c...
The speed of inertial astronaut is
The speed of non inertial astronaut is not given and the speed of inertial astronaut is ##c\pi/4##. How i could calculate the gamma factor of the non inertial one if the velocity is unknown?
it is not specified, I think it is implicitly given by saying that it moves at constant speed along a semicircle of diameter d, therefore the centripetal acceleration $$ a_c = \frac {v ^ 2}{d/2} $$, could it be?
but in any case the centripetal acceleration is not given
Summary:: Special relativity - 2 astronauts syncronize their clocks and moves in different paths at different velocities, which clocks is left behind? and why?
Hi everyone, i have the following problem and I'm not understanding if my strategy to solve it is correct:
Two astronauts synchronize...
I derive the quadratic form of Dirac equation as follows
$$\lbrace[i\not \partial-e\not A]^2-m^2\rbrace\psi=\lbrace\left( i\partial-e A\right)^2 + \frac{1}{2i} \sigma^{\mu\nu}F_{\mu \nu}-m^2\rbrace\psi=0$$
And I need to find the form of the spin dependent term to get the final expression
$$g...
I show that in my post, i know. The questions are:
-Why the derivative works, in this case, and provide the correct result for the commutator between the creation operator and the hamiltonian?
- What are the most general conditions that allows to use this simple trick to evaluate commutators? Or...
I found a theorem that states that if A and B are 2 endomorphism that satisfies $$[A,[A,B]]=[B,[A,B]]=0$$ then $$[A,F(B)]=[A,B]F'(B)=[A,B]\frac{\partial F(B)}{\partial B}$$.
Now I'm trying to apply this result using the creation and annihilation fermionics operators $$B=C_k^+$$ and $$A=C_k$$...