The Wavefunction and Schrödinger Equation
PHYS 410 · Module 2
This module introduces the wavefunction as the central object of nonrelativistic quantum mechanics. Students study the Schrödinger equation, Born rule, normalization, inner products, and the uncertainty principle.
Lessons in this module
The time-dependent Schrödinger equation
The time-dependent Schrödinger equation governs the evolution of quantum states. This lesson introduces the equation, Hamiltonian operator, and wavefunction dynamics.
The probability interpretation and Born rule
The Born rule connects the wavefunction to measurable probabilities. This lesson explains probability density, measurement outcomes, amplitudes, and quantum randomness.
Normalization and inner products
Quantum states must be normalized so total probability equals one. This lesson introduces inner products, orthogonality, normalized wavefunctions, and expansion coefficients.
The uncertainty principle
The uncertainty principle limits how sharply certain pairs of observables can be known. This lesson explains position-momentum uncertainty, wave packets, commutators, and physical meaning.
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