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## Homework Statement

Hi, my question is regardng a Coulomb model of an H atom specified with Hamiltonian operator, Hhat, by spherical coordinates of energy eigenfunction

ψ2,1,-1 (r,θ, ∅) =(1/ 64∏a02)1/2 r/a0 e-r/2a0 sinθ e-iθ

Principal quantum numer n = 2

orbital an mom l = 1

magnetic quantum number m = -1

I must specify magnitude of orbital ang momentum, Lhat2, and z-component of orbital ang momentum as well as total energy.

## Homework Equations

so;

Lhat2 = l (l + 1) hbar2

Lz = m hbar (1/ √2∏) eim∅

## The Attempt at a Solution

Lhat2 = 1 (1 + 1)hbar2

Lhat2 = 2 hbar2

Lz = m hbar (1/ √2∏) eim∅

Lz = -1 hbar / √2∏ ei-1∅

= -1 hbar

but what about total energy?

I'm lost in the forest again and can't see the wood for the trees.