Theorem: Let M have negative curvature and dimension d. Assume
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lll. Toy models
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Regular graphs
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Why do they seem relevant
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A major difference
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Some advantages
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A geometric assumption
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Numerical simulations on Random Regular Graphs RRG
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Recent results : deterministic
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Examples
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Recent results : random
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Open questions and suggestions
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Q&A
Description:
Explore the fascinating world of quantum chaos in this Infosys Prize Lecture delivered by Nalini Anantharaman. Delve into the historical context of quantum mechanics, starting from Bohr's model of the hydrogen atom and Einstein's early contributions. Examine the development of quantum ergodicity and its applications to various systems, including billiards and graphs. Investigate the Quantum Unique Ergodicity conjecture and recent theoretical advancements. Gain insights into toy models, regular graphs, and their relevance to quantum chaos. Discover numerical simulations, deterministic and random results, and engage with open questions in this cutting-edge field of physics. Conclude with a thought-provoking Q&A session to further expand your understanding of quantum chaos and its implications.
Topics in Quantum Chaos - An Infosys Prize Lecture by Nalini Anantharaman