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Quantum physics or mechanics describes the nature of energy at the level of atoms and subatomic particles. This branch of physics includes topics on field theory and is considered as a fundamental theory in physics that you need to learn about.

This [course_title] is created to introduce the basics features of quantum mechanics. You are provided with lectures on the experimental basis of quantum physics, wave mechanics, and Schrodinger’s equation.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

Quantum mechanics as a framework. Defining linearity 00:18:00
Linearity and nonlinear theories. Schrödinger’s equation 00:10:00
Necessity of complex numbers 00:08:00
Photons and the loss of determinism 00:17:00
The nature of superposition. Mach-Zehnder interferometer 00:14:00
More on superposition. General state of a photon and spin states 00:17:00
Lecture 9 | Quantum Entanglements, Part 1 (Stanford) 01:37:00
Mach-Zehnder interferometers and beam splitters 00:16:00
Interferometer and interference 00:12:00
Elitzur-Vaidman bombs 00:10:00
The photoelectric effect 00:23:00
Units of h and Compton wavelength of particles 00:13:00
Mod-04 Lec-29 Compton Scattering III 00:52:00
de Broglie’s proposal 00:11:00
de Broglie wavelength in different frames 00:15:00
Galilean transformation of ordinary waves 00:12:00
The frequency of a matter wave 00:10:00
Group velocity and stationary phase approximation 00:11:00
Motion of a wave-packet 00:09:00
The wave for a free particle 00:15:00
Momentum operator, energy operator, and a differential equation 00:21:00
Free Schrödinger equation 00:10:00
The general Schrödinger equation. x, p commutator 00:18:00
Commutators, matrices, and 3-dimensional Schrödinger equation 00:16:00
Interpretation of the wavefunction 00:08:00
Normalizable wavefunctions and the question of time evolution 00:17:00
Is probability conserved? Hermiticity of the Hamiltonian 00:21:00
Probability current and current conservation 00:15:00
Three dimensional current and conservation 00:18:00
Wavepackets and Fourier representation 00:11:00
Reality condition in Fourier transforms 00:09:00
Widths and uncertainties 00:19:00
Shape changes in a wave 00:17:00
Time evolution of a free particle wavepacket 00:10:00
Fourier transforms and delta functions 00:14:00
Parseval identity 00:16:00
Three-dimensional Fourier transforms 00:06:00
Expectation values of operators 00:28:00
Time dependence of expectation values 00:08:00
Expectation value of Hermitian operators 00:17:00
Eigenfunctions of a Hermitian operator 00:13:00
Completeness of eigenvectors and measurement postulate 00:17:00
Consistency condition. Particle on a circle 00:18:00
Defining uncertainty 00:10:00
Uncertainty and eigenstates 00:16:00
Stationary states: key equations 00:19:00
Expectation values on stationary states 00:09:00
Comments on the spectrum and continuity conditions 00:13:00
Solving particle on a circle 00:11:00
Energy eigenstates for particle on a circle 00:16:00
Infinite square well energy eigenstates 00:13:00
Nodes and symmetries of the infinite square well eigenstates. 00:10:00
Finite square well. Setting up the problem. 00:22:00
Finite square well energy eigenstates 00:11:00
Nondegeneracy of bound states in 1D. Real solutions 00:13:00
Potentials that satisfy V(-x) = V(x) 00:14:00
Qualitative insights: Local de Broglie wavelength 00:16:00
Correspondence principle: amplitude as a function of position 00:06:00
Local picture of the wavefunction 00:13:00
Energy eigenstates on a generic symmetric potential. Shooting method 00:15:00
Delta function potential I: Preliminaries 00:16:00
Delta function potential I: Solving for the bound state 00:15:00
Node Theorem 00:13:00
Harmonic oscillator: Differential equation 00:17:00
Behavior of the differential equation 00:10:00
Recursion relation for the solution 00:12:00
Quantization of the energy 00:23:00
Algebraic solution of the harmonic oscillator 00:17:00
Ground state wavefunction 00:16:00
Number operator and commutators 00:16:00
Excited states of the harmonic oscillator 00:18:00
Creation and annihilation operators acting on energy eigenstates 00:21:00
Scattering states and the step potential 00:11:00
Step potential probability current 00:15:00
Reflection and transmission coefficients 00:08:00
Energy below the barrier and phase shift 00:19:00
Wavepackets 00:21:00
Wavepackets with energy below the barrier 00:06:00
Particle on the forbidden region 00:07:00
Waves on the finite square well 00:16:00
Resonant transmission 00:18:00
Ramsauer-Townsend phenomenology 00:10:00
Scattering in 1D. Incoming and outgoing waves 00:18:00
Scattered wave and phase shift 00:09:00
Incident packet and delay for reflection 00:19:00
Phase shift for a potential well 00:09:00
Excursion of the phase shift 00:15:00
Levinson’s theorem, part 1 00:15:00
Levinson’s theorem, part 2 00:09:00
Time delay and resonances 00:18:00
Effects of resonance on phase shifts, wave amplitude and time delay 00:15:00
Modelling a resonance 00:16:00
Half-width and time delay 00:08:00
Resonances in the complex k plane 00:15:00
Translation operator. Central potentials 00:19:00
Angular momentum operators and their algebra 00:14:00
Commuting observables for angular momentum 00:17:00
Simultaneous eigenstates and quantization of angular momentum 00:25:00
Associated Legendre functions and spherical harmonics 00:19:00
Orthonormality of spherical harmonics 00:18:00
Effective potential and boundary conditions at r=0 00:14:00
Hydrogen atom two-body problem 00:25:00
Center of mass and relative motion wavefunctions 00:14:00
Scales of the hydrogen atom 00:10:00
Schrödinger equation for hydrogen 00:21:00
Series solution and quantization of the energy 00:14:00
Energy eigenstates of hydrogen 00:12:00
Energy levels and diagram for hydrogen 00:14:00
Degeneracy in the spectrum and features of the solution 00:14:00
Rydberg atoms 00:26:00
Orbits in the hydrogen atom 00:11:00
More on the hydrogen atom degeneracies and orbits 00:23:00
The simplest quantum system 00:14:00
Hamiltonian and emerging spin angular momentum 00:16:00
Eigenstates of the Hamiltonian 00:14:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

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