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0
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1
answer
496
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Using the spacetime diagram, calculate the speed $v$ of the $Σ'$ frame relative to the $Σ$ f...
As measured in frame $Σ$, the coordinates of events $A$ and $B$ are respectively $(ct_A,x_A)$ and $(ct_B,x_B)$. The interval between the events are spacelike. There is then a frame $Σ'$ in which the t …
0
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0
answers
53
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perturbation of the form $W(x) = a\omega_0\delta(x− \frac{a} {2})$ calculate the changes in ...
Consider a particle of mass $m$ in one-dimensional infinite potential well of width $a$, i.e. $V (x) = 0$ for $0 ≤ x ≤ a$, and $V (x) = \infty$ for $x < 0$ and $x > a$.
The particle is subject to per …
1
vote
1
answer
98
views
Frequency of photon from decaying particle in Lab Frame [closed]
A particle of rest mass M, while at rest in the laboratory, decays into a particle of mass $m$ and speed $v$, and a photon of frequency $f$ moving in opposite direction. Relativistic momentum and ener …
0
votes
Frequency of photon from decaying particle in Lab Frame
This was just a simple re-arrangement problem which I think I have since solved.
If $Mc^2=\gamma(v)mvc+\gamma(v)mc^2$
$Mc^2=\gamma(v)mc(v+c)$
$\frac{Mc}{v+c}=\gamma(v)m$
using $0=\frac{hf}{ …
0
votes
0
answers
53
views
Energy and momentum conservation equations for frame moving at speed $v$
A particle of rest mass $M$, while at rest in the laboratory, decays into a particle of mass $m$ and speed $v$, and a photon of frequency $f$ moving in opposite direction.
I want to look at this …
2
votes
1
answer
515
views
Eigenstates for a particle in a spherically symmetric potential
Consider a particle in a spherically symmetric potential. Write down a complete set of commuting observables for the system, the relevant eingenvalue equations, and the corresponding eigenstates in a …
1
vote
1
answer
3k
views
Normalization of a Wave-function in spherical co-ordinates [closed]
So I have been provided with the following wave-function
$ψ(x, y, z) = N(x + y + z)e^\frac{
−r^
2}{α^2}$
I am trying to convert it to spherical co-ordinates and to find the Normalization constant $N …