Quantum Mechanics

9.

The Hydrogen Atom

9.1.

Classical Hydrogen Atom

9.1.1.

Coulomb Potential

9.1.2.

Classical Orbits

9.1.3.

9.2.

Quantum Mechanical Solution

9.2.1.

Separation in Spherical Coordinates

9.2.2.

Radial Equation

9.2.3.

Associated Laguerre Polynomials

9.2.4.

9.2.5.

Quantum Numbers

9.3.

Hydrogen Wave Functions

9.3.1.

Radial Wave Functions

9.3.2.

Angular Wave Functions

9.3.3.

Complete Wave Functions

9.3.4.

Atomic Orbitals

9.4.

Physical Properties

9.4.1.

Energy Spectrum

9.4.2.

9.4.3.

Selection Rules

9.4.4.

Transition Probabilities

9.5.

9.5.1.

Relativistic Corrections

9.5.2.

Spin-Orbit Coupling

9.5.3.

9.5.4.

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10. Approximation Methods