Purchase Solution

Quantum Mechanics Photons

Not what you're looking for?

Ask Custom Question

The photon is normally assumed to have zero rest mass. If the photon had a small mass, this would alter the potential energy which the electron experiences in the electric field of the proton. Instead of

V(r) = -(e^2)/(4(pi)(epsion_0)(r))

we would have

V(r) = -((e^(2))(e^(-r/r_0)))/(4(pi)(epsilon_0)(r))

where r_0 is a constant with units of length. Assume r_0 is large compared to the size of the hydrogen atom, so the potential energy given in the second equation above differs only slightly from the standard one given by the first equation in the vicinity of the electron. Calculate the change in the ground state energy of hydrogen if the correct potential is given by the second equation instead of the first one.

Purchase this Solution

Solution Summary

The expert examines quantum mechanics photons.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The programs are attached below as Q#.c where # corresponds to the question number

The original unperturbed Hamiltonian is:

Purchase this Solution

Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.