Linear Algebra: The Language of Quantum Mechanics | QM 3
Автор: VarPi
Загружено: 2025-06-13
Просмотров: 1438
Описание:
This lecture provides a thorough rundown of the linear algebra formalism used to express all of quantum mechanics. We start by defining the essential components of bra-ket notation, including kets, bras, and operators, after which we go into detail about observables. We then explain eigenvalues and eigenstates, going into detail about the relevant properties of observables, and how these concepts intuitively relate to notions of measurement. Finally, we explore teh eigenstates of familiar observables such as position and momentum and talk about how to change the basis of the wavefunction, relating this back to the Fourier transform.
00:00 Introduction
00:32 Bra-Ket Notation
03:46 Eigenvalues and Eigenstates
06:58 General Uncertainty Principle
08:23 Properties of Observables
11:23 Position and Momentum Eigenstates
13:06 Change of Basis
16:13 Conclusion
#quantum #quantumphysics #linearalgebra #operator #eigenvalues #eigenvectors #quantummechanics
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