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Fisika Modern 08 schrodinger eqinhydrogenatom
- 5. The Schrödinger Equation in Spherical Coordinates Transformed into spherical coordinates, the Schrödinger equation becomes: 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 8. r and appear only on the left side and appears only on the right side. The left side of the equation cannot change as changes. The right side cannot change with either r or . Each side needs to be equal to a constant for the equation to be true. Set the constant to be − m ℓ 2 Solution of the Schrödinger Equation for H azimuthal equation 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 9. satisfies the azimuthal equation for any value of m ℓ . The solution must be single valued to be a valid solution for any : Solution of the Schrödinger Equation for H m ℓ must be an integer (positive or negative) for this to be true. Specifically: So: 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
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