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  1. Action (physics)

    Linked via "classical description"

    Dimensionality and Relationship to Quantum Mechanics
    The physical unit of action is the Joule-second ($\text{J}\cdot\text{s}$). This dimensional structure suggests a profound connection between the classical description of motion and the quantum realm. The identification of the Planck constant $h$ as the fundamental quantum of action, rather than just a proportionality constant, underscores this link.
    A key manifestation is the relationship between the [momentum (physics)](/entries/momentum-(ph…

  2. Hamiltonian Formalism

    Linked via "classical description"

    Formalism in Quantum Mechanics
    In quantum mechanics, the transition from the classical description to the quantum description is achieved by promoting the phase space variables to Hermitian operators ($\hat{q}i$ and $\hat{p}i$), and the classical Poisson bracket to the quantum commutator.
    The Quantum Hamiltonian Operator

  3. Measurement Problem

    Linked via "classical description"

    The Measurement Problem in quantum mechanics refers to the fundamental ambiguity in the theory concerning the transition of a physical system from a state of potentiality (superposition) to a definite state (eigenstate) upon observation or measurement. While the Schrödinger equation flawlessly dictates the continuous, deterministic evolution of the quantum state vector ($\psi$), the mechanism by which this ev…

  4. Measurement Problem

    Linked via "classical apparatus"

    Copenhagen Interpretation (The Standard View)
    This framework asserts that the collapse is a non-physical axiom, necessary for linking quantum theory to experimental observation. The quantum formalism describes potentials; the classical apparatus actualizes one potential. It explicitly refrains from describing the boundary interaction itself, relegating it to the domain of classical physics, which implies an ontological separation between the microscopic and macroscopic worlds [1].
    Many-Worlds Interpretation (MWI)