What is the zero point energy? How does this differ from classical mechanics? Give examples where the zero point energy can be found.
It is the lowest possible energy that a quantum mechanical
system may have, and can be said as the energy of its ground
state.The fact that even at a temperature of absolute zero, any
substance must have a certain minimum energy. This energy is
referred to as zero-point energy.
In classical mechanics it was assumed that a particle can exist in
a state of minimum potential energy and have zero kineticenergy. In
this case the particle is at stable equilibrium and has a minimum
energy equal to the potential energy a
the equilibrium point.
Eg -
The vacuum energy is the zero-point energy of all
the fields in space
What is the zero point energy? How does this differ from classical mechanics? Give examples where...
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From classical mechanics - John Taylor I found the solution but I don't know how to solve this problem and the idea of it Defining the scalar product r s by Equation (1.7), r s = risi, show that Pythagoras's theorem implies that the magnitude of any vector r is r = r.r. It is clear that the length of a vector does not depend on our choice of coordinate axes. Thus the result of part (a) guarantees that the...