101.school
CoursesAbout
Search...⌘K
Generate a course with AI...

    Quantum Field Theory

    Receive aemail containing the next unit.
    • 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

    Introduction to Quantum Mechanics

    Introduction to Quantum Concepts

    fundamental theory in physics describing the properties of nature on an atomic scale

    Fundamental theory in physics describing the properties of nature on an atomic scale.

    Quantum mechanics, a fundamental theory in physics, describes the physical properties of nature at the scale of atoms and subatomic particles. It introduces a radically new and counterintuitive framework for understanding the physical world. This article will delve into the core concepts of quantum mechanics, including wave-particle duality, quantum superposition, and quantum entanglement.

    Wave-Particle Duality

    Wave-particle duality is a key concept in quantum mechanics that posits that all particles exhibit both wave and particle properties. This concept was first introduced by Albert Einstein and Louis de Broglie. The most famous demonstration of wave-particle duality is the double-slit experiment, where particles like electrons or photons can exhibit interference patterns indicative of wave behavior, even when sent through the slits one at a time.

    Quantum Superposition

    Quantum superposition is a fundamental principle of quantum mechanics that holds that a physical system—such as an electron in an atom—can exist in multiple states simultaneously. However, when measured, the system appears in only one state. This is best exemplified by the thought experiment known as Schrödinger's cat, in which a cat in a box could be both alive and dead at the same time, according to quantum theory.

    Quantum Entanglement

    Quantum entanglement is a phenomenon in which two or more particles become linked and instantaneously affect each other's state no matter how far apart they are. This concept was famously described by Einstein as "spooky action at a distance." Entanglement is a cornerstone of quantum information science and quantum computing.

    The Copenhagen Interpretation

    The Copenhagen interpretation is one of the oldest interpretations of quantum mechanics. Proposed by Niels Bohr and Werner Heisenberg, it states that a quantum particle doesn't exist in one state or another, but in all possible states at once. It's only when we measure a particle's position, energy, momentum, or other quantities that the particle settles into one of these possible states.

    In conclusion, quantum mechanics introduces a new framework for understanding the physical world. It challenges our everyday intuition with concepts like wave-particle duality, superposition, and entanglement. These concepts, while counterintuitive, have been experimentally confirmed and form the basis for technologies like lasers and quantum computers. As we delve deeper into quantum mechanics, we will continue to explore these fascinating phenomena and their implications for our understanding of the universe.

    Test me
    Practical exercise
    Further reading

    Hi, any questions for me?

    Sign in to chat
    Next up: Quantum States and Observables