Question

(b). Consider a big object of mass 60 kg (sav, a 10th grade student) confined to move between two rigid walls separated by 1.15m (say, a typical size of a desk). Based on the quantum mechanics, what is the minimum speed of the student? (c). What should the quantum number n be if the student is moving with a speed of .25 m/s? (d). What is the separation of the energy levels of the student moving with this speed? (extra points: 10 points) The time independent Schrodinger equation in the infinite potential well is d2) 2m dx2 and its general solution is

Answer 1

big objeat moving nfenls Fm hesenbas Consider a hememv ro walls tin Posit on x 15 m hew Jhe cin uncer A m 4VX The stndeut he mimimum peed f 34 37 A Vt 2 4m 6.426xi 64×16 2×1,15 ×6xo行 V 1.25 m/s 1hen at he studeit moves 2m a2 122 4 6OX 1.25 X 115 h x 6626x3y 2.6xtD 21 Jhe quatm of he stndent nunler n enim evel Now Jhe eparaton aetrncen two AE 2 2 mar n2- (642eni) - 2.x G0 15) Jhe difente eparation behreew tm eny lerets almast Rem. Thus the tndewt nl He/phe bolangs ave thave discrete eny level v he Consnions evel Punuor