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Four Classes of Quantum Mechanical Effects are Independent?

  1. Nov 3, 2015 #1
    Are the four classes of quantum mechanical phenomena for which classical physics cannot account independent of one another or can one derive one or more phenomena from other(s)? These according to the Wiki are:
    • Principle of uncertainty;
    • Wave-particle duality;
    • Quantisation of certain physical phenomena; and
    • Quantum entanglement.

    Last edited: Nov 3, 2015
  2. jcsd
  3. Nov 3, 2015 #2


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    Staff: Mentor

    All of these derive from more fundamental aspects of quantum mechanics.

    One way to consider it is by starting from the postulates of quantum mechanics:
    The uncertainty principle is a consequence of 2 and the fact that some operators Q do not commute with each other. The "wave-particle duality," which is an outdated concept, is a consequence of 1, 2 5, and 6 (the system and its evolution is obtained from a wave equation, but observations are particle-like). Quantization is related to the discreteness of some observables or boundary conditions of the wave equation.

    Quantum entanglement is something else, as it requires more than one particle, and is related to the rules coverning composite systems and the superposition principle, the latter being also a consequence of 6 by the fact that the Schrödinger equation is a linear equation.
  4. Nov 3, 2015 #3
    Thanx DrClaude, much appreciated
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