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Main Question or Discussion Point
1. I have been trying to plot wavefunctions of QHO for different states with potential energy function using excel. I followed Griffith's Quantum Mechanics, 2nd edition. I got the nature but they have same reference level. Basically I tried to draw fig2.7a (the first one) and got like the second picture.
2. Why does quantum harmonic oscillator need to be solved around singular points for which frobenius technique is used?
3. What is reason behind the fact that the coefficient of highest power should be equal to 2^n to be a hermite polynomial? (Ajay Ghatak, Fundamental Theories of Physics, page 166, article 7.3)
4. Why is one of the even and odd series forced to rather not making mathematically zero in case of getting hermite polynomial? (Ajay Ghatak, Fundamental Theories of Physics, page 166, article 7.3)
2. Why does quantum harmonic oscillator need to be solved around singular points for which frobenius technique is used?
3. What is reason behind the fact that the coefficient of highest power should be equal to 2^n to be a hermite polynomial? (Ajay Ghatak, Fundamental Theories of Physics, page 166, article 7.3)
4. Why is one of the even and odd series forced to rather not making mathematically zero in case of getting hermite polynomial? (Ajay Ghatak, Fundamental Theories of Physics, page 166, article 7.3)
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