Quantum Mechanics Answers

If A, B and C are Hermitian operators, determine if the following combinations are Hermitian: 1 A + B 2 1 2i [A, B] 3 (ABC − CBA) 4 A 2 + B 2 + C 2 5 (A + iB) 

A nucleus has a radius of 4 Fermis. Use the uncertainty principle to estimate the kinetic energy for a neutron localized inside the nucleus. Do the same for an electron. 

A nucleus has a radius of 4 Fermis. Use the uncertainty principle to estimate the kinetic energy for a neutron localized inside the nucleus. Do the same for an electron. 

Estimate the Hydrogen Ground State Energy

Is it possible to see inside an atom?

A typical atomic nucleus is about 5 × 10−15 m in radius. Use the uncertainty principle to place a lower limit on the energy an electron must have if it is to be part of a nucleus. 

What is a quantum? 

 Compare QM and classical results.

Explain the atomic spectrum of the Hydrogen using Bohr Model.

Using the Plank’s theory, show that ρ(ν)dν = 8πν2 c 3 hν e hν kBT − 1 dν