{"id":7196,"date":"2024-01-28T05:00:11","date_gmt":"2024-01-28T05:00:11","guid":{"rendered":"https:\/\/thales.mit.edu\/bush\/?p=7196"},"modified":"2024-05-07T00:17:32","modified_gmt":"2024-05-07T00:17:32","slug":"18-996s-hydrodynamic-quantum-analogs","status":"publish","type":"post","link":"http:\/\/thales.mit.edu\/bush\/index.php\/2024\/01\/28\/18-996s-hydrodynamic-quantum-analogs\/","title":{"rendered":"18.996S Hydrodynamic quantum analogs"},"content":{"rendered":"\n
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Spring 2024.<\/strong> Lectures MW2:30-4pm, Room 2-143.<\/strong><\/p>\n\n\n\n

Millimetric droplets self-propelling along the surface of a vibrating liquid bath represent a macroscopic realization of wave-particle duality, and of a dynamics of the form proposed for microscopic quantum particles by Louis de Broglie in the 1920s. Since their discovery, experimental studies have shown that these walking droplets exhibit many features previously thought to be exclusive to the microscopic, quantum realm. The system thus represents a new platform for exploring and redefining the boundary between classical and quantum behavior. A hierarchy of theoretical models have been developed with a view to rationalizing the emergent quantum behavior and connecting to extant models of quantum dynamics. In this course, we will focus on reviewing the experimental studies and theoretical models of the hydrodynamic system, as well as its successes and shortcomings as a quantum analog. We will also review related realist models of quantum dynamics, including Bohmian mechanics and de Broglie’s original theory of matter waves.<\/p>\n\n\n\n

HANDOUTS<\/strong><\/p>\n\n\n\n

Course Poster<\/a><\/p>\n\n\n\n

Course Outline<\/a><\/p>\n\n\n\n

Handout 1 <\/p>\n\n\n\n

LECTURE NOTES AND SLIDES<\/strong><\/p>\n\n\n\n

Lecture 1 Slides – Part A<\/a> and Lecture 1 Slides – Part B<\/a><\/p>\n\n\n\n

Lecture 2 Slides<\/a><\/p>\n\n\n\n

Lecture 3 Slides<\/a><\/p>\n\n\n\n

Lecture 4 Slides<\/a><\/p>\n\n\n\n

Lecture 5 Notes<\/a><\/p>\n\n\n\n

Lecture 6 Notes<\/a> and Lecture 6 Slides<\/a><\/p>\n\n\n\n

Lecture 7 Notes<\/a> and Lecture 7 Slides<\/a><\/p>\n\n\n\n

Lecture 8 Notes<\/a> and Lecture 8 Slides<\/a><\/p>\n\n\n\n

No class on March 8: Assigned reading<\/a><\/p>\n\n\n\n

Lecture 9 Slides<\/a><\/p>\n\n\n\n

Lecture 10 Slides<\/a><\/p>\n\n\n\n

Lecture 11 Slides<\/a><\/p>\n\n\n\n

Lecture 12 Slides<\/a><\/p>\n\n\n\n

Lecture 13 Slides: Escape from Shadow Physics by Adam Kay<\/a><\/p>\n\n\n\n

Lecture 14: Orbital pilot-wave dynamics<\/a><\/p>\n\n\n\n

Lecture 15: Strobe and Boost models<\/a><\/p>\n\n\n\n

Lecture 16: More sophisticated models<\/a><\/p>\n\n\n\n

Lecture 17: Andr\u00e9 Nachbin on Conformal Mapping in HQA<\/a><\/p>\n\n\n\n

Lecture 18: A. Friedel oscillations<\/a>; B. Spin lattices<\/a><\/p>\n\n\n\n

Lecture 19: Diffraction<\/a><\/p>\n\n\n\n

Lecture 20: Corrals<\/a><\/p>\n\n\n\n

Lecture 21: A. Above Threshold<\/a> B. Bound States I,<\/a> C. Bound States II<\/a><\/p>\n\n\n\n

Lecture 22: Generalized pilot-wave theory<\/a><\/p>\n\n\n\n

Lecture 23: Classical pilot-wave theories<\/a><\/p>\n\n\n\n

PROBLEM SET MATERIALS<\/strong><\/p>\n\n\n\n

Problem Set 1<\/a><\/p>\n\n\n\n

Problem Set 2<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[],"class_list":["post-7196","post","type-post","status-publish","format-standard","hentry","category-teaching","entry"],"yoast_head":"\n18.996S Hydrodynamic quantum analogs - John W. M. Bush<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2024\/01\/28\/18-996s-hydrodynamic-quantum-analogs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"18.996S Hydrodynamic quantum analogs - John W. M. 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