2m dr2 Unt(r) + + [ mw?r?) unt() = End Weru (or) Harmonic Oscillator U(r) mw2r2/2 h2 da 1(1 + 1)ħ2 1 2mr2 The eigenvalue
Posted: Wed May 18, 2022 4:37 pm
show that when we solve this equation we get E in this form
2m dr2 Unt(r) + + [ mw?r?) unt() = End Weru (or) Harmonic Oscillator U(r) mw2r2/2 h2 da 1(1 + 1)ħ2 1 2mr2 The eigenvalues corresponding to this potential are Ent = (2n +1+3) Hw Energy depends only upon the number N= 2n+1 where it is integer and N20. En = (N + )ħw 3 3
2m dr2 Unt(r) + + [ mw?r?) unt() = End Weru (or) Harmonic Oscillator U(r) mw2r2/2 h2 da 1(1 + 1)ħ2 1 2mr2 The eigenvalues corresponding to this potential are Ent = (2n +1+3) Hw Energy depends only upon the number N= 2n+1 where it is integer and N20. En = (N + )ħw 3 3