eLecture:Quantum Graphs

Taksu Cheon

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Quantum Graphs : Physics of Quantum Singularity (0-2)

Organization of This eLecture


Section 1. Vista from Quantum Graph Theory

Section 2. Points and Lines, Generalized Point Interactions

Section 3. Geometry of Parameter Space

Section 4. Three Examples

Section 5. Nontrivial Geometry and its Consequences

Section 6. Scale Anomaly and Point Interaction

Section 7. Scale Invariant Subfamily and Macroscopic Quantum Chaos

Section 8. Summary and Prospects

It is basically recommended that the reader follow the order of the texts. However, if he feels them to be either too elementary or too technical, passing over a section or two are not discouraged at all.

It is assumed that the reader possesses the basic knowledge of elementary quantum mechanics typically taught in the last years of colleges. Those who feel lacking the neccesary methematical background are advised to bring a standard textbook of introcuctiry quantum mechnaics while browsing through these pages.

We intend to update various parts of this eLecture from time to time. Repetors should find refurbished papges by frequent reloading.

A printable cover page is found here for a private storage.

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