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Quantum Mechanics

What are the principle tenets of quantum mechanics, and their supportive evidence? Principle ideas are bulletted; supporting evidence is emphasized subsequently.

  • Spatial and temporal distribution of particle properties is characterized by a probability distribution, the wave function, which evolves according to a Hamiltonian that defines the potential field in which the particle moves.

    Hydrogen spectra. Consideration of the relative phase of the wave functions might cast some light on orbital angular momentum.

  • Particles have intrinsic angular momentum, or spin, that is quantized in units of ½ of Planck's constant.

    Atomic motion in a magnetic field.
    Atomic state transitions through photon excitation and emission.

  • Fermions, with half-integral spin, will not occupy a state already occupied by another fermion of the same type.

    Energy levels of multi-electron atoms.

  • Bosons, with integral spin, can have more than one instance in the same state.

    Helium-4, black-body radiation.

  • Particle interactions are localized and discrete.

    Electron and photon self-interference, and particularly the two-slit experiment. Of particular interest is the Bohm-Ahramov measurement, which shows that the wave function can be modified by changing the potential field, even if no classical force is exerted on the electrons.

  • "Wave-function collapse" - conservation laws, notably for angular momentum, may be resolved over distances and times that appear to violate relativistic causality.

    Einstein-Rosen-Podolsky paradox. However, there are arguments that the experimental studies manifest ensemble statistics, rather than quantum uncertainty.
    Quantum entanglement and quantum computing. Again, a caveat that this is taken as manifesting theories of a multiverse that I find confounding.

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Material Copyright © 2005 Brian Balke