Michael Lubinsky

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Quantum Mechanics

https://habr.com/ru/articles/813885/ о движении частиц в квантовом мире

https://arxiv.org/pdf/quant-ph/0007045.pdf ROSETTA STONE FOR QUANTUM MECHANICS WITH AN INTRODUCTION TO QUANTUM COMPUTATION

https://arxiv.org/abs/2304.03962 Einstein-Podolsky-Rosen-Bohm experiments

https://www.mathnet.ru/conf2392 Открытые лекции по теме «Функциональные интегралы и их приложения в квантовой теории и статистической механике»

https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf QM and magnetism

https://quantum-ods.github.io/qmlcourse/book/linalg/ru/bra-ket.html

https://chembaby.ru/predmety/kvantovaya-teoriya

Double-slit experiment

https://iopscience.iop.org/article/10.1088/1367-2630/15/3/033018

https://en.wikipedia.org/wiki/Double-slit_experiment#Path-integral_formulation

https://profmattstrassler.com/2025/03/13/did-the-particle-go-through-the-two-slits-or-did-the-wave-function/

https://news.ycombinator.com/item?id=43353947

https://www.scottaaronson.com/democritus/lec9.html

https://www.scottaaronson.com/democritus/default.html

https://news.ycombinator.com/item?id=40063795

https://www.youtube.com/watch?v=ss0HABVUkeQ

https://www.youtube.com/watch?v=qJZ1Ez28C-A - Veritasium (probably not good video)

https://www.youtube.com/watch?v=UWuhMJZaiZM Feynman’s (almost) impossible sum over infinite quantum paths

From a general point of view, we need three ingredients:
• a space of states, that we denote as S,
• a space of observables, that we denote as O and
• a real valued pairing O×S → R. This pairing, which produces a real
number out of an observable and a state, represents the measuring
operation.

In Quantum Mechanics, we have two main pictures.

• in the Schreodinger picture, S is associated with a Hilbert space H and
the set of dynamical variables (the observables) is a derived concept.
Observables are identified with self-adjoint bounded operators on H.

• in the Heisenberg picture the situation is complementary: the set of
dynamical variables (the observables) is the primary concept. They
are assumed to be (the real part) of a C∗ -algebra A. The states, on
the other hand, are a derived concept defined as a proper subset of
the set of linear functionals on A.

Pauli’s Exclusion Principle — No two electrons can share the same quantum numbers. https://arxiv.org/pdf/quant-ph/0511002.pdf

https://habr.com/ru/companies/macloud/articles/555522/

Пятов П. Н. Сапонов П. А. Математические основы квантовой https://www.youtube.com/playlist?list=PLq3E5oubNNoB3fjQzUYM7nbJmwv6Q2MHG

https://physics.stackexchange.com/users/7924/arnold-neumaier

https://teach-in.ru/course/density-matrix Матрица плотности. Часть 1

https://teach-in.ru/course/density-matrix-part2 Матрица плотности. Часть 2

https://www.youtube.com/playlist?list=PLti61wgkUWHxVJwqQgAWcMnmg1Uopuu-k Zaigraev (ru)

mipt.lectoriy.ru/lecturer/KiselevVV/lectures

https://www.youtube.com/playlist?list=PLq3E5oubNNoB3fjQzUYM7nbJmwv6Q2MHG

https://arxiv.org/pdf/1110.6815.pdf The modern tools of quantum mechanics

https://arxiv.org/pdf/1211.5627.pdf A short introduction to the quantum formalism[s]

https://arxiv.org/pdf/1812.10732.pdf

https://arxiv.org/pdf/1201.4234.pdf

https://arxiv.org/pdf/0812.0721.pdf

https://arxiv.org/pdf/0804.3728.pdf

https://arxiv.org/pdf/0707.3539.pdf

Stat phys

https://arxiv.org/pdf/1109.2475.pdf Stat Physics

This playlist will help you get a strong foundation in quantum physics, covering essential topics and concepts. The videos are organized in a logical sequence, starting with introductory content and progressing to more advanced topics. Enjoy your marathon study session!

Quantum Physics for Beginners: Overview and Basics
Video: https://www.youtube.com/watch?v=stxqkFCcrk0
The Double-Slit Experiment: The Peculiar Behavior of Quantum Particles
Video: https://www.youtube.com/watch?v=p-MNSLsjjdo
Wave-Particle Duality: Understanding the Nature of Quantum Particles
Video: https://www.youtube.com/watch?v=1PSi5ZYL8kc
Quantum States and Superposition
Video: https://www.youtube.com/watch?v=HR6O5PO5W0Y
Quantum Entanglement: The Spooky Action at a Distance
Video: https://www.youtube.com/watch?v=ZuvK-od647c
The Schrödinger Equation: The Core of Quantum Mechanics
Video: https://www.youtube.com/watch?v=8UJwGnERiL8
Quantum Mechanics and Classical Physics: Comparisons and Contrasts
Video: https://www.youtube.com/watch?v=1ZLJHc0Q_dw
Quantum Tunnelling: The Surprising World of Quantum Barriers
Video: https://www.youtube.com/watch?v=1hJ8zSGPEEo
Quantum Computing: Harnessing the Power of Quantum Physics
Video: https://www.youtube.com/watch?v=6IbG6d2D6PA
Quantum Field Theory: Bridging Quantum Mechanics and Special Relativity
Video: https://www.youtube.com/watch?v=Rk6x1U6bXYA
The Many Worlds Interpretation of Quantum Mechanics
Video: https://www.youtube.com/watch?v=pKxCyQNfm2M
The Copenhagen Interpretation and Other Interpretations of Quantum Mechanics
Video: https://www.youtube.com/watch?v=rbRVnD46DYY
Quantum Teleportation: The Future of Communication
Video: https://www.youtube.com/watch?v=7FyIUVXOTdM
Quantum Biology: The Quantum World Meets Life Sciences
Video: https://www.youtube.com/watch?v=ADiql3FG5is
Applications of Quantum Physics: From Medicine to Technology
Video: https://www.youtube.com/watch?v=KkI5li5J5Po

Hilbert Space https://news.ycombinator.com/item?id=37524169

https://www.cphysics.org/

Квантовая механика - 1.1 Введение Заиграев Н. М.

https://www.youtube.com/watch?v=5Z2RnlZkGRM&list=PLti61wgkUWHxVJwqQgAWcMnmg1Uopuu-k&index=1&t=472s

Lectures

https://www.youtube.com/playlist?list=PLthfp5exSWErBIoHpaPV77pq8kHHIeWu4 Лекции по курсу “Современные проблемы теоретической физик

https://www.youtube.com/playlist?list=PLHyI3Fbmv0Sem-xmU7PHh61zhjvttWidT Tutorials: Advancing Quantum Mechanics with Mathematics and

https://www.youtube.com/watch?v=42TYj0C4zzg&list=PLqdhXM8ko4WEFhN5uw8lFnR1jM9MfZgzm Чирцов Александр:

https://ocw.mit.edu/search/?q=QUANTUM%20PHYSICS MIT

https://www.math.columbia.edu/~woit/QMbook/qmbook-latest.pdf

http://blog.rudnyi.ru/ru/2022/04/ponyatna-li-klassicheskaya-mehanika-2.html

канал по дистанционному образованию в МФТИ

https://www.youtube.com/channel/UCEEhbFAvl3fOW5geICQbMcg

https://www.youtube.com/watch?v=mcttbZ30_sc Основы квантовой физики - Алексей Рубцов

https://www.youtube.com/watch?v=7Blzcwz0Ejk Квантовая механика, Никитин Н. В., 01.04.2022г.

https://www.youtube.com/playlist?list=PLthfp5exSWEoUgz9P2-8sCy4BEun69bUL Квантовая механика, Хайдуков З. В., 11.02.2022г.

https://math.ucr.edu/home/baez/

https://www.youtube.com/playlist?list=PLzZPcCojoi_V-JDjTVp2yT3OJtyEkbQBl Осипов Д.Л. Осень 2016

https://www.youtube.com/playlist?list=PLHOMZXOczEYNAZX6Qw60rSKAPFupnQUli Осипов Д.Л. Осень 2016

https://www.youtube.com/watch?v=LCA0CKfL9H4&list=PLthfp5exSWEpsV0TcHLpezrS6oXssHNds “Квантовая механика”, Тернов А. И. 05.02.2021г.

https://journals.nsu.ru/siberian-journal-physics/archive/2008/T3V2/5/0125/ Игнатович Владимир Казимирович. Одномерный периодический потенциал в квантовой механике

https://www.youtube.com/playlist?list=PL193BC0532FE7B02C Quantum Mechanics

https://ilovetheuniverse.com/this-is-the-worlds-first-image-of-light-as-both-a-particle-and-a-wave

MIT QUANTUM PHYSICS https://ocw.mit.edu/search/?q=QUANTUM%20PHYSICS

https://ocw.mit.edu/courses/8-04-quantum-physics-i-spring-2016/

https://mipt.lectoriy.ru/course?category=TheoreticalPhysics

https://www.sciencedirect.com/science/article/pii/S0003491619300120 Separation of conditions as a prerequisite for quantum theory HansDe Raedta / Mikhail I.Katsnelson / Dennis Willschc / Kristel Michielsen

https://arxiv.org/abs/2110.05294 Quantum mechanics via quantum tomography Arnold Neumaier

https://www.youtube.com/watch?v=Yv3BGGdiufE Математические конструкции в квантовой логике и их современное применение | Лекториум https://www.lektorium.tv/course/22783 Алексей Гринбаум

https://www.youtube.com/watch?v=VSCqjOXNSp8 А.С. Трушечкин. Математика квантовой механики

https://www.youtube.com/watch?v=HouOHJWAy84 Лекция 1. В.Ж. Сакбаев. Аксиоматика квантовой механики

https://www.youtube.com/watch?v=jWD2_kvJDbU Лекция 2. В.Ж. Сакбаев

https://www.youtube.com/watch?v=VTciIwTr1Vw . Albert Shwarts

Квантовая механика, Киселев В. В., 1 лекция, 06.09.2022 https://sites.google.com/view/quanty-kiselev https://www.youtube.com/watch?v=8GA_52Y_3EY

Яшин Всеволод https://mipt.ru/education/chairs/fpfkt/downloads/sciseminar/2019spring/%D0%AF%D1%88%D0%B8%D0%BD%D0%92%D1%81%D0%B5%D0%B2%D0%BE%D0%BB%D0%BE%D0%B4%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D0%BE%D0%B2%D0%B0%D1%8F%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0.pdf

https://arxiv.org/pdf/2208.07433.pdf Exact solutions

Advanced QM https://www.youtube.com/watch?v=33QHal6E2_4&list=PLHyI3Fbmv0Sem-xmU7PHh61zhjvttWidT

https://www.youtube.com/watch?v=502W35rpk7Q Графы и квантовая механика: симплектические идеи // Сергей Новиков

Лекция «Квантовая запутанность для самых маленьких». https://www.youtube.com/watch?v=pdasKPTurBk

Python

https://habr.com/ru/company/skillfactory/blog/549470/ Анимация волновой функции частицы Шрёдингера с помощью Python / matplotlib

https://blog.gwlab.page/solving-1-d-schrodinger-equation-in-python-dcb3518ce454

Time-Dependent Schrodinger Equation in Python: Two Different Techniques https://www.youtube.com/watch?v=kVjg3jbM3Pw

https://github.com/The-real-Han-Chen/Single-slit-and-double-slits-diffraction-Schrodinger-s-equation-in-2D-

QM articles

https://www.cantorsparadise.com/the-road-to-quantum-mechanics-part-2-kepler-and-newton-4bd99941d18e

https://www.cantorsparadise.com/the-road-to-quantum-mechanics-part-4-separation-of-variables-19b88bee86e0

https://www.cantorsparadise.com/the-road-to-quantum-mechanics-part-5-spherical-harmonics-a82dc40a1d4a

https://arxiv.org/abs/quant-ph/9907069. Mathematical surprises and Dirac’s formalism in quantum mechanics

https://arxiv.org/abs/2011.12671 Sidney Coleman’s Dirac Lecture “Quantum Mechanics in Your Face”

http://www.physics.umd.edu/courses/Phys401/bedaque07/misconnzz.pdf Common Misconceptions Regarding Quantum Mechanics

Relativistic QM

https://ufn.ru/ru/articles/2022/1/e/ Открытие релятивистского уравнения Шрёдингера

https://arxiv.org/pdf/0708.0052.pdf

https://www.youtube.com/playlist?list=PLbMVogVj5nJTDMhThY9xu2Tvg0u1RPuxO

###

https://arxiv.org/pdf/2112.05619.pdf

https://www.youtube.com/watch?v=8mi0PoPvLvs . Advanced Quantum Mechanics. Leonard Susskind

https://www.youtube.com/playlist?list=PLq94LoYzjZTos43uI14BeBJ8Y6d0v2g6f

https://ridiculousfish.com/wavefiz/

https://github.com/quantum-visualizations/qmsolve

https://habr.com/ru/company/skillfactory/blog/564822/

http://lightcone.ru/

https://quantgrav.blogspot.com/

https://habr.com/ru/post/539210/

https://rqc.ru/research#groups

https://postnauka.ru/specials/quantumworld

Неравенства Белла https://habr.com/ru/post/540620/

https://www.youtube.com/watch?v=7mUQtujgUUo . Страупе С. С. - Введение в квантовую физику - Квантовая информация

https://www.youtube.com/results?search_query=%D0%A1%D1%82%D1%80%D0%B0%D1%83%D0%BF%D0%B5 Страупе

https://habr.com/ru/post/526886/ Quantum Computer

https://news.ycombinator.com/item?id=24996034 Many Quantum Computer Lectures

https://www.youtube.com/watch?v=mujNcrgdops Александр Львовский

https://www.youtube.com/watch?v=NayWtS53NNU Эмиль Ахмедов: “Оптика и квантовая механика”

https://www.youtube.com/playlist?list=PLcsjsqLLSfNDqvcsTsKJM1Ee6V8Aaobl0 Введение в квантовую физику - Рубцов Алексей Николаевич

https://habr.com/ru/post/523926/

http://lightcone.ru/%d1%82%d0%b5%d0%be%d1%80%d0%b8%d1%8f-%d0%b3%d1%80%d1%83%d0%bf%d0%bf-1-%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b3%d1%80%d1%83%d0%bf%d0%bf%d1%8b/

https://www.youtube.com/watch?v=gAFAj3pzvAA QM map

https://www.youtube.com/watch?v=VSCqjOXNSp8 . А.С. Трушечкин. Математика квантовой механики

http://www.mathnet.ru/conf1813 Г. Г. Амосов “Математические основания квантовой механики”

https://www.youtube.com/watch?v=4csKNAKtEQ0 Липовка Антон

https://www.youtube.com/watch?v=xnt2xSNRNn0 Quantum Physics Full Course Quantum Mechanics Course Part 1 Author: Brant Carlson

https://www.youtube.com/watch?v=K4BF7MD69_U . Course Author: Prof. Steve Spicklemire

http://nuclphys.sinp.msu.ru/ Nuclear physics

https://www.youtube.com/watch?v=rFKUs2PeRLU Симметрия в физике,

http://www.mathnet.ru/php/presentation.phtml?option_lang=rus&presentid=24832 solitons

Green function

https://www.youtube.com/watch?v=bUfcVTIlJz0 Green function

https://www.cantorsparadise.com/making-sense-of-greens-functions-18ed2152ab6f

https://e.lanbook.com/reader/book/619/#26. Блохинцев ДИ Основы квантовой механики

https://www.youtube.com/playlist?list=PLthfp5exSWEoUgz9P2-8sCy4BEun69bUL Квантовая механика, Хайдуков З. В., 11.02.2022г.

https://www.youtube.com/playlist?list=PLthfp5exSWErBIoHpaPV77pq8kHHIeWu4

https://www.reddit.com/r/quantum/comments/iqzrx8/quantum_mechanics_course/

https://habr.com/ru/post/516206/. QM article

https://habr.com/ru/post/501858/

https://nautil.us/issue/83/intelligence/how-to-make-sense-of-quantum-physics

https://arxiv.org/abs/quant-ph/0702225

https://arxiv.org/pdf/quant-ph/0702225.pdf