SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full - PowerPoint PPT Presentation

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SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full description of the motion of a molecule: translation, vibration, rotation Boundary Condition: For rotation in the x-y plane, the angular momentum vector lies on the z-axis

SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full description of the motion of a molecule: translation, vibration, rotation
Boundary Condition:
For rotation in the x-y plane, the angular momentum vector lies on the z-axis
Probability of finding a particular angle Φ in the interval d Φ :
SPHERICAL COORDINATES
SOLVING THE SCHRODINGER EQUATION FOR ROTATION IN THREE DIMENSIONS
THE QUANTIZATION OF ANGULAR MOMENTUM Different shapes are related with l, m l • s, p, d orbitals
SPHERICAL HARMONIC FUNCTIONS

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SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full - PowerPoint PPT Presentation

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SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full - PowerPoint PPT Presentation

SOLVING SCHRODINGER EQUATION FOR ROTATION IN TWO DIMENSIONS Full description of the motion of a molecule: translation, vibration, rotation Boundary Condition: For rotation in the x-y plane, the angular momentum vector lies on the z-axis

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Analysis & Computation for the Semiclassical Limits of the Nonlinear Schrodinger Equations