Recent content by davijcanton
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Average value for the squared momentum in the harmonic oscillator
In this case, is it normal the average value for x and for p vanish?- davijcanton
- Post #5
- Forum: Advanced Physics Homework Help
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Average value for the squared momentum in the harmonic oscillator
Well. I've gotten one sum of three integrals. Say: 1º \int^{\infty}_{-\infty} A e^{\alpha_{z}z²} H_{n_{z}}(\sqrt{\alpha_{z}} z) H_{n_{z}}(\sqrt{\alpha_{z}} z)(\alpha_{z}-\alpha_{z}²z²) dz 2º \int^{\infty}_{-\infty} -4n_{z}\alpha_{z}A e^{\alpha_{z}z²} z H_{n_{z}}(\sqrt{\alpha_{z}} z)...- davijcanton
- Post #3
- Forum: Advanced Physics Homework Help
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Average value for the squared momentum in the harmonic oscillator
Hi, I'm trying to resolve a problem (17-2) of Pauling's book (Introduction to Quantum Mechanics ), but I'm not achieving this integration. So, I ask for your help. The problem says: Calculate \overline{p_{z}²} (where p_{z} = momentum in z direction and \overline{x} = average value of x...- davijcanton
- Thread
- Average Average value Harmonic Harmonic oscillator Momentum Oscillator Value
- Replies: 5
- Forum: Advanced Physics Homework Help