Quantum Mechanics

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Author(s): J. M. Evans, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IB Lecture Notes
Publisher: University of Cambridge
Year: 2015

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; quantum physics; quantum mechanics; quantum field theory

Introduction
Light quanta
Bohr model of the atom
Matter waves
Wavefunctions and the Schrodinger equation
Particle state and probability
Operators
Time evolution of wavefunctions
Some examples in one dimension
Introduction
Infinite well — particle in a box
Parity
Potential well
The harmonic oscillator
Expectation and uncertainty
Inner products and expectation values
Ehrenfest's theorem
Heisenberg's uncertainty principle
More results in one dimensions
Gaussian wavepackets
Scattering
Potential step
Potential barrier
General features of stationary states
Axioms for quantum mechanics
States and observables
Measurements
Evolution in time
Discrete and continuous spectra
Degeneracy and simultaneous measurements
Quantum mechanics in three dimensions
Introduction
Separable eigenstate solutions
Angular momentum
Joint eigenstates for a spherically symmetric potential
The hydrogen atom
Introduction
General solution
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