Derive the de-Broglie relation (l=h/mv)
This is a proof in wrong direction; originally, the second
relation was used to arrive at the first equation. You can
establish de-Broglie relation from Einstein’s equation
E=mc2 and Planck’s energy relation E=hc/l.
find more general derivations in
5. Operators are very fundamental to Physics. They act on
something and give a result. For instance, d2/dz2
acts on x to give acceleration.
In Schrodinger equation,
energy operator is
why? Note after your proof that this operator returns
energy as well as the wave function itself. Such operator
is called the Eigen value operator.
6. Lorentz transformation for relativity is defined by:
= 1/(1 - v2/c2)1/2
is called the Lorentz factor.
There is another relation:
x2 + y2 + z2 – c2t2
Another relation in relativity is:
Px2 + Py2 + Pz2 – E2/c2
= constant = -m02c2
P=momentum, m0=rest mass, E=energy.
So, derive the Lorentz transformation like relation for Px,
Py, Pz, E. Does this mean energy is
not conserved? <Look at
Level II for more>
7. Planck radiation law is defined by: