PHYSICS 13 FINAL EXAM FALL 2003 NAME___________________________________________ Useful data and equations: Schrödinger equation: (η=h/2π) −h´22md2dx2ψ(x) +V(x)ψ(x) =Eψ(x)For two interacting bodies the m is replaced by reduced mass µand x is the separation. Quantum mechanical angular momentum |L|= [l(l+1)]1/2ηand Lz= ml ηNote the h-baror more generally |J| = [j(j+1)]1/2ηand Jz= mjηwith mj= j, j-1, ..., -j Addition of orbital (l ) and spin (1/2) angular momenta yields j=l-1/2, l +1/2. Addition of J1and J2yields sum Jwith quantum number j = |j1-j2|, |j1-j2|+1, ..., j1+j2-1, j1+j2Atomic electron spectroscopic notation: n l 1 or 2 or… , where n is principle quantum number, lis orbital angular momentum quantum number, l=0,1,2,...,n-1, with notation l=0->s, 1->p, 2->d, 3->f,... Avogadro's Number: NA= 6.0 x 1023 number of atoms, molecules or nuclei in a MOLE (or gram molecular wt) Non-relativistic Kinetic Energy =mv2/2 Magnetic dipole interaction energy = µZBZLorentz Transformation frame S´ moves in the +x direction with V as seen in S: x=γ(x´+Vt´), y=y´, z=z´, t=
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