2m Dr2 Unt R Mw R Unt End Weru Or Harmonic Oscillator U R Mw2r2 2 H2 Da 1 1 1 H2 1 2mr2 The Eigenvalue 1 (35.14 KiB) Viewed 49 times
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
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