- #1
Tiberius47
- 5
- 0
Homework Statement
Show that for real valued E a particle at rest can not decay.
Homework Equations
Width of resonance.
[itex]\Gamma[/itex]=[itex]\hbar[/itex]/[itex]\tau[/itex]
Relativistic Breit-Wigner distribution
P_rel_=[itex]\Gamma[/itex]/((E^2-M^2)^2+M^2[itex]\Gamma[/itex]^2)
Wave function of particle at rest.
ψ(t)=ψ(0)e^(-iEt/[itex]\hbar[/itex])
The Attempt at a Solution
I guess Lambda would be 0 if tau (the lifetime of the particle) were infinite but I have no idea what that has to do with real valued E.