Study quantum mechanics and relativity

Modern Physics screenshot
Modern Physics screenshot
Modern Physics screenshot
Modern Physics screenshot
Modern Physics screenshot
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Curriculum

What You'll Learn

01 Introduction to Modern Physics
3 topics
1 Historical Background
  • Classical Physics Limitations
  • The Ultraviolet Catastrophe
  • Michelson-Morley Experiment
2 The Birth of Modern Physics
  • Timeline of Major Discoveries
  • Conceptual Revolutions
3 Mathematical Foundations
  • Vector Spaces and Linear Algebra
  • Differential Equations in Physics
  • Probability Theory Essentials
02 Special Theory of Relativity
5 topics
1 Principles of Relativity
  • Galilean Relativity
  • Einstein's Postulates
  • The Relativity of Simultaneity
2 Time Dilation and Length Contraction
  • Time Dilation Derivation
  • Length Contraction Derivation
  • Twin Paradox
3 Relativistic Kinematics
  • Lorentz Transformations
  • Velocity Addition
  • Doppler Effect in Relativity
4 Relativistic Dynamics
  • Relativistic Mass and Energy
  • Mass-Energy Equivalence
  • Conservation Laws in Relativity
5 Experimental Verification
  • Particle Accelerator Results
  • Cosmic Ray Muons
  • GPS Time Corrections
03 Quantum Theory Origins
5 topics
1 Blackbody Radiation
  • Planck's Quantum Hypothesis
  • Derivation of Planck's Law
  • Experimental Verification
2 Photoelectric Effect
  • Einstein's Explanation
  • Work Function and Threshold Frequency
  • Millikan's Experiments
3 Compton Effect
  • X-ray Scattering
  • Derivation of Compton Wavelength
  • Experimental Confirmation
4 Atomic Spectra
  • Rydberg Formula
  • Bohr Model of Hydrogen
  • Franck-Hertz Experiment
5 Wave-Particle Duality
  • de Broglie Hypothesis
  • Davisson-Germer Experiment
  • Electron Diffraction
04 Quantum Mechanics I: Wave Mechanics
5 topics
1 Wave Functions
  • Probability Interpretation
  • Normalization
  • Expectation Values
2 Schrödinger Equation
  • Time-Dependent Equation
  • Time-Independent Equation
  • Operators and Eigenvalues
3 One-Dimensional Problems
  • Infinite Square Well
  • Finite Square Well
  • Quantum Tunneling
  • Harmonic Oscillator
4 Quantum Mechanical Barriers
  • Step Potential
  • Barrier Penetration
  • Resonant Tunneling
5 Numerical Methods in Quantum Mechanics
  • Finite Difference Methods
  • Matrix Methods
  • Computational Techniques
05 Quantum Mechanics II: Formalism and Applications
5 topics
1 Mathematical Formalism
  • Hilbert Space
  • Dirac Notation
  • Linear Operators
2 Angular Momentum
  • Orbital Angular Momentum
  • Spin Angular Momentum
  • Addition of Angular Momenta
3 Three-Dimensional Problems
  • Hydrogen Atom
  • Central Force Problems
  • Spherical Harmonics
4 Approximation Methods
  • Perturbation Theory
  • Variational Method
  • WKB Approximation
5 Time Evolution
  • Time Evolution Operator
  • Heisenberg Picture
  • Schrödinger Picture
  • Interaction Picture
06 Quantum Mechanics III: Advanced Topics
5 topics
1 Symmetries and Conservation Laws
  • Noether's Theorem in Quantum Mechanics
  • Gauge Invariance
  • Discrete Symmetries
2 Identical Particles
  • Bosons and Fermions
  • Pauli Exclusion Principle
  • Exchange Interactions
3 Quantum Entanglement
  • EPR Paradox
  • Bell's Inequalities
  • Quantum Teleportation
4 Quantum Information
  • Quantum Bits
  • Quantum Gates
  • Quantum Computing Basics
5 Interpretations of Quantum Mechanics
  • Copenhagen Interpretation
  • Many-Worlds Interpretation
  • Bohm Interpretation
  • Decoherence Theory
07 Atomic Physics
5 topics
1 Multi-electron Atoms
  • Helium Atom
  • Pauli Exclusion Principle
  • Periodic Table
2 Atomic Structure
  • Electron Configuration
  • Hund's Rules
  • Term Symbols
3 Interaction with Electromagnetic Fields
  • Zeeman Effect
  • Stark Effect
  • Fine Structure
  • Hyperfine Structure
4 Laser Physics
  • Stimulated Emission
  • Population Inversion
  • Laser Types and Applications
5 Atomic Spectroscopy
  • Selection Rules
  • Spectroscopic Techniques
  • Modern Applications
08 Molecular Physics
5 topics
1 Molecular Bonding
  • Ionic Bonds
  • Covalent Bonds
  • Van der Waals Forces
  • Hydrogen Bonding
2 Molecular Spectra
  • Rotational Spectra
  • Vibrational Spectra
  • Electronic Spectra
3 Molecular Structure
  • LCAO Method
  • Hybridization
  • Molecular Orbital Theory
4 Experimental Techniques
  • Infrared Spectroscopy
  • Raman Spectroscopy
  • Mass Spectrometry
5 Applications
  • Molecular Imaging
  • Chemical Analysis
  • Materials Science
09 Statistical Physics
5 topics
1 Statistical Ensembles
  • Microcanonical Ensemble
  • Canonical Ensemble
  • Grand Canonical Ensemble
2 Quantum Statistics
  • Bose-Einstein Statistics
  • Fermi-Dirac Statistics
  • Maxwell-Boltzmann Statistics
3 Quantum Gases
  • Ideal Fermi Gas
  • Ideal Bose Gas
  • Bose-Einstein Condensation
4 Phase Transitions
  • Critical Phenomena
  • Landau Theory
  • Scaling and Universality
5 Non-equilibrium Statistical Mechanics
  • Transport Theory
  • Fluctuation-Dissipation Theorem
  • Stochastic Processes
10 Solid State Physics
5 topics
1 Crystal Structure
  • Bravais Lattices
  • Miller Indices
  • X-ray Diffraction
2 Electron Theory of Solids
  • Free Electron Model
  • Nearly Free Electron Model
  • Tight Binding Model
3 Band Theory
  • Energy Bands
  • Brillouin Zones
  • Metals, Insulators, and Semiconductors
4 Semiconductor Physics
  • Intrinsic and Extrinsic Semiconductors
  • p-n Junctions
  • Semiconductor Devices
5 Magnetism and Superconductivity
  • Diamagnetism and Paramagnetism
  • Ferromagnetism and Antiferromagnetism
  • Cooper Pairs and BCS Theory
  • High-Temperature Superconductors
11 Nuclear Physics
5 topics
1 Nuclear Structure
  • Nuclear Size and Shape
  • Nuclear Forces
  • Nuclear Models
2 Nuclear Stability
  • Binding Energy
  • Semi-empirical Mass Formula
  • Nuclear Decay Modes
3 Radioactivity
  • Alpha Decay
  • Beta Decay
  • Gamma Decay
4 Nuclear Reactions
  • Cross Sections
  • Fission
  • Fusion
5 Experimental Techniques
  • Particle Accelerators
  • Detectors
  • Nuclear Spectroscopy
12 Particle Physics
5 topics
1 Fundamental Particles
  • Leptons
  • Quarks
  • Gauge Bosons
2 Fundamental Forces
  • Electromagnetic Force
  • Weak Nuclear Force
  • Strong Nuclear Force
  • Gravitation
3 Standard Model
  • Electroweak Unification
  • Quantum Chromodynamics
  • Higgs Mechanism
4 Beyond the Standard Model
  • Grand Unified Theories
  • Supersymmetry
  • String Theory
5 Experimental Particle Physics
  • Collider Experiments
  • Neutrino Experiments
  • Dark Matter Searches
13 Cosmology and Astrophysics
5 topics
1 Cosmological Models
  • Big Bang Theory
  • Inflation
  • Dark Energy and Dark Matter
2 General Relativity
  • Einstein Field Equations
  • Spacetime Curvature
  • Gravitational Waves
3 Stellar Physics
  • Stellar Evolution
  • Neutron Stars
  • Black Holes
4 Cosmic Microwave Background
  • Origin and Properties
  • Temperature Fluctuations
  • Cosmological Parameters
5 Modern Cosmological Problems
  • Matter-Antimatter Asymmetry
  • Cosmic Inflation
  • Quantum Gravity
14 Experimental Methods in Modern Physics
5 topics
1 Vacuum Technology
  • Vacuum Pumps
  • Pressure Measurement
  • Ultra-High Vacuum Systems
2 Cryogenics
  • Cooling Methods
  • Low-Temperature Physics
  • Superconducting Magnets
3 Particle Detection
  • Scintillation Detectors
  • Semiconductor Detectors
  • Time Projection Chambers
4 Imaging Techniques
  • Electron Microscopy
  • Scanning Probe Microscopy
  • Neutron and X-ray Imaging
5 Data Analysis and Computing
  • Statistical Methods
  • Monte Carlo Techniques
  • Machine Learning Applications
15 Applications of Modern Physics
5 topics
1 Medical Physics
  • Radiation Therapy
  • Medical Imaging
  • Nuclear Medicine
2 Energy Applications
  • Nuclear Energy
  • Solar Cells
  • Fusion Research
3 Materials Science
  • Nanomaterials
  • Quantum Materials
  • Meta-materials
4 Quantum Technology
  • Quantum Computing
  • Quantum Communication
  • Quantum Sensing
5 Environmental Applications
  • Radiation Monitoring
  • Isotope Analysis
  • Climate Research

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