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Quantum Reality

The equations of the subatomic world.

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  1. 1

    Planck's Equation

    Intermediate
    E=hνE = h\nu

    Energy of a photon is proportional to its frequency—light comes in discrete packets.

    Physical Sciences
    Quantum Mechanics
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  2. 2

    Schrödinger Equation

    Advanced
    iℏ∂ψ∂t=H^ψi\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi

    The wave function of a quantum system evolves according to its energy operator.

    Physical Sciences
    Quantum Mechanics
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  3. 3

    Heisenberg Uncertainty Principle

    Advanced
    Δx Δp≥ℏ2\Delta x \, \Delta p \geq \frac{\hbar}{2}

    You cannot simultaneously know a particle's position and momentum with arbitrary precision.

    Physical Sciences
    Quantum Mechanics
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  4. 4

    Dirac Equation

    Research
    (iγμ∂μ−m)ψ=0(i\gamma^\mu \partial_\mu - m)\psi = 0

    Relativistic wave equation for spin-½ particles—predicting antimatter.

    Physical Sciences
    Particle Physics
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