Established physics · Reading editions

Quantum mechanics: all 15 lessons

Follow the same sequence as the interactive trainer. Every lesson includes its physical picture, example, technical detail, common trap, and six explained checkpoints.

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101 · States and probabilities

States, superposition, interference, the Born rule, and measurement bases.

  1. Quantum states: what the description contains

    A quantum state supplies amplitudes for possible measurement outcomes; a single outcome does not reveal the whole state.

  2. Superposition, phase, and mixtures

    A superposition carries relative phase; an ordinary random mixture can share some probabilities while making different predictions elsewhere.

  3. Interference and physical path records

    For coherent alternatives ending in the same outcome, add amplitudes first and take the squared magnitude second.

  4. Measurement probabilities and the Born rule

    Squared amplitude magnitudes set the odds; repeated equivalent preparations reveal the distribution through individual records.

  5. Observables: the question changes the basis

    An observable identifies a measurable quantity; its measurement basis defines the alternatives used to calculate that experiment’s probabilities.

201 · Quantum behavior and dynamics

Spin, uncertainty, evolving wave packets, energy levels, and tunneling.

  1. Spin and the order of measurements

    Spin is intrinsic angular momentum; changing which component is measured can change the statistics of a later measurement.

  2. Uncertainty and the width of a wave packet

    A state cannot make both position and momentum distributions arbitrarily narrow; this is a relation between state spreads, beyond ordinary instrument error.

  3. How quantum states evolve

    The Schrödinger equation governs state evolution; moving and spreading probability distributions follow from the evolving amplitudes.

  4. Bound states and quantized energy

    Boundary conditions and the Hamiltonian determine allowed bound-state energies; quantum mechanics does not make every energy in every situation discrete.

  5. Tunneling without an energy loan

    A quantum state can transmit through a finite barrier even below its height, while the complete stationary scattering process conserves energy.

301 · Correlations, records, and connections

Composite states, Bell tests, decoherence, interpretations, and the path into TRQC.

  1. Composite systems and entanglement

    A joint state can contain relationships that cannot be replaced by independently prepared states of its parts, even when some local or joint probability tables match.

  2. Bell correlations and no-signaling

    Quantum joint correlations can exceed a Bell bound while each distant laboratory still sees uncontrollable local outcomes.

  3. Measurement, decoherence, and durable records

    A detector and its environment can carry outcome records that suppress observable interference between alternatives, without anyone needing to read them.

  4. The measurement problem and interpretations

    Distinguish a shared probability calculation, an account of what the state means, and a proposal that changes the physical dynamics.

  5. Connect QM, the Standard Model, and TRQC

    Carry the quantum rules forward while identifying which question each framework addresses: spacetime relations, field interactions, outcome statistics, or underlying relational organization.