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    Quantum Field Theory

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    • Introduction to Quantum Mechanics
      • 1.1Historical Background
      • 1.2Introduction to Quantum Concepts
      • 1.3Quantum States and Observables
    • Wave-Particle Duality
      • 2.1The Double Slit Experiment
      • 2.2Heisenberg's Uncertainty Principle
      • 2.3Quantum Superposition and Entanglement
    • The Schrödinger Equation
      • 3.1Time-Dependent Equation
      • 3.2Stationary States
      • 3.3Square Well Potential
    • Quantum Operators and Measurement
      • 4.1Quantum Operators
      • 4.2The Measurement Postulate
      • 4.3Complex Probability Amplitudes
    • Quantum Mechanics of Systems
      • 5.1Quantum Harmonic Oscillator
      • 5.2Quantum Angular Momentum
      • 5.3Particle in a Box
    • The Dirac Equation
      • 6.1Wave Equations
      • 6.2The Dirac Sea
      • 6.3Hole Theory
    • Introduction to Quantum Electrodynamics (QED)
      • 7.1Electromagnetic Field
      • 7.2Feynman Diagrams
      • 7.3QED Interactions
    • Path Integrals and Quantum Mechanics
      • 8.1Feynman’s Approach
      • 8.2Action Principle
      • 8.3Quantum Oscillator Problem
    • Symmetries in Quantum Field Theory
      • 9.1Gauge Symmetry
      • 9.2Poincaré Symmetry
      • 9.3Global and Local Symmetries
    • Quantum Chromodynamics
      • 10.1Color Charge
      • 10.2Quark Model
      • 10.3Confinement and Asymptotic Freedom
    • The Higgs Mechanism
      • 11.1Electroweak Symmetry Breaking
      • 11.2The Higgs Boson
      • 11.3Implication for Mass of Known Particles
    • Quantum Field Theory in Curved Space-Time
      • 12.1The Concept of Spacetime
      • 12.2Quantum Effects in Curved Spaces
      • 12.3Hawking Radiation
    • Quantum Cosmology and Conclusion
      • 13.1Big Bang Theory
      • 13.2Cosmic Inflation
      • 13.3Looking Ahead: Frontiers in Quantum Mechanics

    Wave-Particle Duality

    The Double Slit Experiment: A Gateway to Quantum Mechanics

    experiment in quantum mechanics that shows wave–particle duality

    Experiment in quantum mechanics that shows wave–particle duality.

    The double-slit experiment is one of the most fascinating and perplexing demonstrations of quantum mechanics. It provides a clear and undeniable illustration of the wave-particle duality and the superposition principle, two of the most fundamental concepts in quantum physics.

    Introduction to the Double-Slit Experiment

    The double-slit experiment involves shining light (or any other form of electromagnetic radiation) or firing particles (like electrons) at a barrier with two slits. If light or particles behaved strictly like particles, we would expect to see two bright lines on the detection screen, corresponding to the two slits. However, what we observe is an interference pattern, a series of light and dark fringes, as if the particles were waves interfering with each other.

    Understanding the Concept of Interference

    Interference is a wave phenomenon. When two waves meet, they can either add up (constructive interference) or cancel each other out (destructive interference), depending on their phase. In the double-slit experiment, the light or particles passing through the two slits behave like waves, creating an interference pattern on the detection screen.

    Wave Behavior of Particles

    The double-slit experiment shows that particles like electrons and photons exhibit wave-like behavior. This wave-particle duality is a cornerstone of quantum mechanics. It tells us that particles can behave like waves (and vice versa) under certain conditions. This is a radical departure from classical physics, where particles and waves are distinct entities.

    Analysis of the Results of the Double-Slit Experiment

    The results of the double-slit experiment are even more puzzling when we fire particles one at a time. Even then, an interference pattern emerges over time, suggesting that each particle interferes with itself. This can only be explained if the particle goes through both slits at the same time, a phenomenon known as quantum superposition.

    The double-slit experiment is a powerful demonstration of the strange and counter-intuitive world of quantum mechanics. It challenges our everyday experiences and forces us to rethink our understanding of the physical world. It shows us that at the quantum level, particles can behave like waves, can be in multiple places at the same time, and can seemingly affect their past and future.

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    Next up: Heisenberg's Uncertainty Principle