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Exploring Quantum Physics · LearnSpace
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Exploring Quantum Physics

Курс от University of Maryland, College Park
Уровень не указан≈ 34.1 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

An introduction to quantum physics with emphasis on topics at the frontiers of research, and developing understanding through exercise.

Навыки, которые вы освоите

PhysicsMechanicsIntegral CalculusSemiconductorsVibrationsMathematical ModelingGeneral Science and ResearchPhysical ScienceQuantitative ResearchTorque (Physics)Science and Research

Программа курса

10 модулей · 89 учебных материалов

01Week 1 - Welcome, Lecture 1 and 2 - Conceptual Grounds12 материалов

Week 1 - Welcome

Welcome and overviewВидео

Week 1 - Lecture 1: Wavefunctions and Schrödinger Equation

Part I: Comments on studying QMВидеоPart II: Pioneering ExperimentsВидеоPart III: Pioneering Experiments (cont'd) Видео

Учитесь у экспертов

Charles W. Clark

Fellow

Dr. Victor Galitski

Professor

Exploring Quantum Physics
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Обучение на Coursera

≈ 34.1 ч

10 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Вьетнамский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

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**Part IV: "Deriving" the Schrödinger Eq.Видео
***Part V: Spreading of quantum wavepacketsВидео

Week 1 - Lecture 2: A physical interpretation of Quantum theory

Part I: Meaning of the wavefunctionВидео***Part II: Continuity EquationВидео**Part III: Observables; Operators; Expectation ValuesВидео**Part IV: Time Independent Schrödinger Eq.Видео**Part V: Superposition; Dirac Notation; RepresentationsВидео

Week 1 Homework

Homework 1Задание
02Week 2 - Lecture 3 and 4 - Path Integral9 материалов

Week 2 - Lecture 3: Feynman Path Integral

Part I: IntroductionВидео**Part II: PropagatorВидео***Part III: Derivation (difficult material, optional)Видео***Part IV: Derivation (cont'd) (difficult material, optional)Видео

Week 2 - Lecture 4: Using the Feynman Path Integral

**Part I: Classical LimitВидео*Part II: Quantum corrections to diffusionВидео**Part III: Quantum corrections to diffusion; Localization (cont'd)Видео

Week 2 Homework

Homework 2ЗаданиеHomework 2 Bonus Questions (Ungraded)Задание
03Week 3 - Lecture 5 and 6 - Quantum Wells to Cooper Pairs11 материалов

Week 3 - Lecture 5: Quantum wells

*Part I: Electron in a BoxВидео**Part II: Finite Potential WellВидео**Part III: Bound state in a 1D shallow potentialВидео***Part IV: Bound states in a delta potential (any dimension)Видео

Week 3 - Lecture 6: Crash "course" on superconductivity

Part I: The phenomenon of superconductivityВидео*Part II: Quantum StatisticsВидео***Part III: Two-particle Schrödinger equationВидео**Part IV: The Cooper problemВидео

Week 3 Homework

Homework 3ЗаданиеHomework 3 Optional: time propagation of a wavepacketЗаданиеHomework 3 Bonus Questions (Ungraded)Задание
04Week 4 - Lecture 7 and 8 - Quantum Oscillators10 материалов

Week 4 - Lecture 7: Quantum harmonic oscillator

*Part I: Quantizing the classical oscillatorВидео**Part II: Creation/annihilation operatorsВидео**Part III: Generating the energy spectrumВидео**Part IV: Harmonic oscillator wave-functionsВидео

Week 4 - Lecture 8: Phonons in crystals

Part I: Collective modes; Goldstone theoremВидео**Part II: Classical phonons in an oscillator chainВидео***Part III: Quantum oscillator chainВидео***Part IV: Deriving phonon spectrum; Bogoliubov transform (difficult material; optional)Видео

Week 4 Homework

Homework 4ЗаданиеHomework 4 Bonus Questions (Ungraded)Задание
05Week 5 - Lecture 9 and 10 - The (Simplest) Atom10 материалов

Week 5 - Lecture 9, Atomic Structure and Spectra (Charles Clark)

Part I: Introduction to optical spectraВидеоPart II: Cracking the hydrogen code ВидеоPart III: Classical hydrogen atom: angular momentumВидеоPart IV: Classical hydrogen atom: Runge-Lenz vectorВидео

Week 5 - Lecture 10, Quantum Theory: Old and New; Solving the Schrödinger equation (Charles Clark)

Part I: The Bohr model of the atomВидеоPart II: Applications of the Bohr ModelВидеоPart III: Simple constructive techniquesВидеоPart IV: Gaussians and the variational theoremВидео

Week 5 Homework

Homework 5ЗаданиеHomework 5 Bonus Questions (Ungraded)Задание
06Week 6 - Lecture 11 and 12 - The Bouncing Ball10 материалов

Week 6 - Lecture 11, Solving the Schrödinger Equation (Charles Clark)

Part I: Variational Estimates and ApplicationsВидеоPart II: Hydrogen atom: variational and virial theoremsВидеоPart III: Use of Special FunctionsВидеоPart IV: The Bouncing BallВидео

Week 6 - Lecture 12, Angular Momentum (Charles Clark)

Part I: Basic Properties of Angular Momentum OperatorsВидеоPart II: Basic Commutation RelationsВидеоPart III: Angular Momentum as an Effective PotentialВидеоPart IV: Angular Momentum and Runge-Lenz VectorВидео

Week 6 Homework

Homework 6ЗаданиеHomework 6 Bonus Questions (Ungraded)Задание
07Week 7 - Lecture 13 and 14 - Rotation and Spin 12 материалов

Week 7 - Lecture 13, Angular Momentum Applications (Charles Clark)

Part I: Rotation and Dipole Moments of MoleculesВидеоPart II: Atomic and Molecular Polarizabilities: Perturbation TheoryВидеоPart III: Atomic and Molecular Polarizabilities: Perturbation Theory (cont'd) ВидеоPart IV: Polarizability of the Hydrogen AtomВидеоPart V: The Spectra of Hydrogen IsotopesВидео

Week 7 - Lecture 14, Gauge Potentials, Spin and Magnetism

Part I: Introduction to gauge potentials - magnetic fieldsВидеоPart II: Impossibility of magnetism in classical mechanicsВидеоPart III: The Dirac Equation - BasicsВидеоPart IV: The Dirac Equation - Spin ВидеоPart V: Spin and Antimatter in Material SystemsВидео

Week 7 Homework

Homework 7ЗаданиеHomework 7 Bonus Questions (Ungraded)Задание
08Week 8 - Lecture 15 and 16 - Quantum Gas and Time Dependence7 материалов

Week 8 - Lecture 15, Quantum Gases

Part I: Bose-Einstein condensation in theoryВидеоPart II. Bose-Einstein condensation in experiment ВидеоPart III. Degenerate Fermi-Dirac gasesВидеоPart IV. Current research in quantum gases Видео

Week 8 - Lecture 16, Time-dependent quantum mechanics (Victor Galitski)

*Part I: Time-dependent Schrödinger Eq.; general remarksВидео**Part II: Sudden perturbations; quantum quenchesВидео***Part III: Geometric Berry phase (difficult, advanced material - optional)Видео
09Final Exam3 материалов

Final Exam (Timed) (1 Attempt Only)

Final Exam Part 1 (Timed) (1 Attempt Only)ЗаданиеFinal Exam Part 2 (Timed) (1 Attempt Only)ЗаданиеBonus Questions (Ungraded)Задание
10Bonus Lectures5 материалов

Bonus Lectures (Ian Appelbaum)

**Part I: Zeeman Effect Видео**Part II: Stern-Gerlach Experiment ВидеоPart III: Spin Dynamics and LS Coupling Видео**Part IV: Spin Exchange and Magnetism Видео**Part V: Non-equilibrium Spin Injection Видео