einstein-brillouin-keller action quantization

1
Einstein-Brillouin-Keller Action Quantization (1917) (1926) (1958) Bohr-Sommerfeld-Wilson quantization used fuzzy math, neglecting caustics at turning points in librations. The correct semiclassical action quantization condition is: ) ( ) ( 2 1 4 i i i i q p dq n i where i = 0 (rotations) = 1 (tunnelling) = 2 (librations) = 4 (square well) Topological Maslov Index It yields astonishingly accurate results !!!

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Einstein-Brillouin-Keller Action Quantization. (1917) (1926) (1958). Bohr-Sommerfeld-Wilson quantization used fuzzy math, neglecting caustics at turning points in librations. The correct semiclassical action quantization condition is:. where.  i = 0 (rotations) - PowerPoint PPT Presentation

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Page 1: Einstein-Brillouin-Keller Action Quantization

Einstein-Brillouin-Keller Action Quantization

(1917) (1926) (1958)

Bohr-Sommerfeld-Wilson quantization used fuzzy math, neglecting caustics at turning points in librations. The correct semiclassical action quantization condition is:

)()(21

4 iiii qpdqn i

where i = 0 (rotations) = 1 (tunnelling)

= 2 (librations)= 4 (square well)

TopologicalMaslov Index

It yields astonishingly accurate results !!!