Write down Pauli Spin matrix and find out (oo, -0,0). Also discuss the result.

What are the 3 Hermitian operators on spin states?

Show that the hamiltonian for spin-orbit coupling Commutes with the quantum angular momentum squared, orbital angular momentum squared, and the spin angular momentum squared using the fact that commute with each other.

I need the answer quickly

provided a system of 2 electrons in a one-dimensional box, write the approximate wavefunctions including the spin (but without considering interelectronic repulsion) for the states with an electron with n=1 and an electron with n=2. State which of the resulting states has the lowest energy. Symbolically build the linear combinations of the wavefunctions products (including spin). SHOW FULL AND COMPLETE PROCEDURE IN A CLEAR AND ORDERED WAY

A nonrelativistic hydrogen atom, with a spinless clectron, is placed in an electric field E in the z dircction and a mnagnetic field H in the r direction. The effect of the two ficlds on the energy levcls are comparable. (a) If the atom is in a state with n, the principal quantuin number, equal to two, state which matrix clenents in the first-order perturbation calculation of the energy shifts are zero. (b) Now obtain an cquation for the energy shifts; once you have the determinantal cquation you uced not go through the algebra of cvaluating the determinlant. Do not inscrt the precise forms of the radial wave func- tions; express your results in terms of matrix clements of r" (wherc n is an appropriate power) between radial wave functions. (lz t ily)|e, n) = V{(l7 m) (l ±1m+1)}|e, m ± 1) .

Do stepwise, else I will downvote.

Consider three noninteracting indistinguishable spin-0 particles trapped in a harmonic potential with energy states given as: [nx, Ny, nz). Consider three distinct single particle states: |0,0,0), |0,1,0), |0,2,0). Each of the particles can be in any one of the three states listed. How many different three particle states are possible?

The operator în · ở measures spin in the direction of unit vector f = (nx, Ny, N₂) nx = sin cosp ny = sinesino nz = cose in spherical polar coordinates, and ở = (x, y, z) for Pauli spin matrices. (a) Determine the two eigenvalues of û.o.

Consider a particle of massmin a rectangular solid box with edge lengthsa,b, andc, givenbyb=2aandc=2a. Find the degeneracies of the first 10 energy levels for the system. (Please type answer no write by hend)