Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
17, Búppose a half-integer l-value, say , were allowed for orbital angular momentum. From L, Y;/2.1/2(0,4) = 0, we may deduce, as usual, Y1/2.12(0,4) a e'0/2Vsin@ . Scanned by CamScanr Problems 245 Now try to construct Y/2,-1/2(6, ); by (a) applying L. to Y/2.1/2(8,); and (b) using L Y,/2, - 1/2(0, $)-0. Show that the two procedures lead to contradictory results. (This gives an argument against half-integer /-values for orbital angular momentum.)

17, Búppose a half-integer l-value, say , were allowed for orbital angular momentum. From L, Y;/2.1/2(0,4) = 0, we may deduce, as usual, Y1/2.12(0,4) a e'0/2Vsin@ . Scanned by CamScanr Problems 245 Now try to construct Y/2,-1/2(6, ); by (a) applying L. to Y/2.1/2(8,); and (b) using L Y,/2, - 1/2(0, $)-0. Show that the two procedures lead to contradictory results. (This gives an argument against half-integer /-values for orbital angular momentum.)

icon
Related questions
Question
17 Suppose a half-integer /-value, say , were allowed for orbital angular momentum. From L,Y,212(0,$)= 0, we may deduce, as usual, Y12.12(0,4) a e'0/2Vsin@. Scanned by CamScanne. Problems 245 Now try to construct Y/2,-1/2(0, $); by (a) applying L. to Y1/2,1/2(8,); and (b) using L Y/2, -1/2(0, $) =0. Show that the two procedures lead to contradictory results. (This gives an argument against half-integer /-values for orbital angular momentum.)
Transcribed Image Text:17 Suppose a half-integer /-value, say , were allowed for orbital angular momentum. From L,Y,212(0,$)= 0, we may deduce, as usual, Y12.12(0,4) a e'0/2Vsin@. Scanned by CamScanne. Problems 245 Now try to construct Y/2,-1/2(0, $); by (a) applying L. to Y1/2,1/2(8,); and (b) using L Y/2, -1/2(0, $) =0. Show that the two procedures lead to contradictory results. (This gives an argument against half-integer /-values for orbital angular momentum.)
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer