Hydrogen Atom

a) The electron in a hydrogen atom is in the l=1 state having the lowest possible energy and the highest possible value for m1. What are the n,l, and m1 quantum numbers? b) A particle is moving in an unknown central potential. The wave function of the particle is spherically symmetric. What are the values of l and m1? Outline of solution please, I will have a test on this Wendsday. Thank you

Three-dimensional Time-Independent Schrodinger

A particle with mass m is confined inside of a spherical cavity of radius ro. The Potential is spherically symmetric and can be written in the form: V(r)=0 for r

Hamiltonian Operator

Please help with the attached problem.

The "radius of the hydrogen atom" is often taken to be on the order of about 10^-10m. If a measurement is made to determine the location of the electron for hydrogen in its ground state, what is the probability of finding the eletron withen 10^(-10) m of the nucleus?

The "radius of the hydrogen atom" is often taken to be on the order of about 10^-10m. If a measurement is made to determine the location of the electron for hydrogen in its ground state, what is the probability of finding the eletron withen 10^(-10) m of the nucleus?

(a) Show that for any two square matrices, Tr(AB) = Tr(BA). (b) Show the for any matrix A, the trace is equal to the sum of its eigenvalues, where multiple eigenvalues must be included in the sum multiple times.

(a) Show that for any two square matrices, Tr(AB) = Tr(BA). (b) Show the for any matrix A, the trace is equal to the sum of its eigenvalues, where multiple eigenvalues must be included in the sum multiple times.