
Quantum Mechanics: Direct sum space, total angular momentum, eigenvectors, scalar operator
43930 Quantum Mechanics: Direct sum space, total angular momentum Please assist me with the attached quantum mechanics questions.
Direct sum space, total angular momentum, eigenvectors, scalar operator, See attached files for full solutions.

Introduction to quantum mechanics past paper
63102 Introduction to quantum mechanics past paper 2. Two possible wave functions for states of a particle, with definite energies E_1 and E_2 are: see attachement for equations.
 Explain why these are called stationary states.

Quantum Mechanics Photons
333080 Quantum Mechanics Photons 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.

Problems in Quantum Mechanics
Note that most of the problems in this set are repeats of problems from the previous set, some of which I omitted. We solve several problems in quantum mechanics.

Relative states and Hidden Variables in Quantum Mechanics
The answer and the explanations are in the attached file. The relative states and hidden variables in quantum mechanics are determined. The importance are explained.

Quantum Number Determination
61509 Quantum Number Determination For principle quantum number n = 6 given for electrons in an atom, how many different values of the following quantities are possible?

Specific Heat of Diatomic Gas Rotations.
The kinetic energy T is:
So our Hamiltonian is:
We now look for eigenstates of the angular momentum squared quantum mechanically
Where the eigenvalues for the operator are:
Plugging this into our Hamiltonian will give us our energy states

Working with schrodinger atomic model  Quantum states
• n, the principal quantum number. This is also known as the radial quantum number, and defines the distance of the electron from the nucleus in the Bohr model. n also describes the azimuthal angular momentum. n takes on integral values 1, 2, 3,

Lagrangian, Hamilton and Variations with Constraints
The file contains a detailed solution of the three problems posed regarding quantum mechanics and particle physics.