That is correct. Think of it as two successive applications of Sz. You are good so far.Nico045 said:S²z |S,M> = M² |S,M>
An eigenvalue of an Hamiltonian with spin is a characteristic value that represents the total energy of a quantum system with a particular spin state. It is obtained by solving the eigenvalue equation, which is a mathematical equation that describes the behavior of the system.
Spin is an intrinsic property of fundamental particles, such as electrons, and it affects the energy levels of a system. The eigenvalues of an Hamiltonian with spin take into account the spin states of the particles in the system, leading to different energy levels for different spin states.
Yes, the eigenvalues of an Hamiltonian with spin can be measured experimentally. This is done by performing measurements on the quantum system and then using mathematical equations to calculate the eigenvalues based on the observed results.
The eigenvalues of an Hamiltonian with spin are a fundamental concept in quantum mechanics. They represent the possible energy levels of a system and are used to describe the behavior of particles at the quantum level.
The eigenvalues of an Hamiltonian with spin play a crucial role in understanding the behavior of quantum systems. They provide information about the energy levels and spin states of particles, which is essential for predicting and analyzing the behavior of these systems.