Question

Figure 8.3 gives the energy and degeneracy of the first 5 levels for a particle in a cubic box. Find the energy and degeneracy of the next 3 levels (that is the 6th, 7th and 8th).

m? Degeneracy 4E.. 12 None 3 SE 93 2E0 6 Eo. None Figure 8.3 An energy-level di- agram for a particle confined to a cubic box. The ground-state energy is Ep = 37'h/2m/?. and ?? ni + n + n. Note that most of the levels are de- generate..

Answer 1

Energy of particle in cubic potential fuell Enemyng = (h2² try2 +223) 1 242 ground state Energy Degeneracy 2m2² 42 3 Eo None o 3 6 i ) 260 3 TD 3to 3 iv) 1 / 3 to II v ) 4€ 12 None 6 vi) EO 14 1112,3) (1,3,2) 113,21) (3,1,2) (2,1,3) 123,1) viid 17 Eo 3 3 17 (3,2,2)(2372) (2,2,3) vinj) 6 to Flo 3 11.4.1) (4,1,1) (1,1,4)