目錄
Preface
Author biography
1 The continuum Universe
1.0.1 A cubic meter of space
1.0.2 The downside of successful advertising
1.0.3 The wrong use of x
1.0.4 The enemies of understanding
1.1 The right use of x: describing a continuum
1.1.1 The wave function describes the state
1.1.2 FIAQ
References
2 Everything is a wave
2.1 Waves in what medium: waves made of what stuff?
2.2 Evidence for waves
2.2.1 Do this experiment
2.2.2 La tache de Poisson, also called Arago's spot
2.2.3 Most photon waves are much larger than most atoms
2.3 Early clues to the size and nature of atoms
2.3.1 How to use the size of an atom
2.3.2 The aether came back!
2.3.3 FIAQ
References
3 There is no classical theory of matter
3.1 Earnshaw's no go theorem
3.1.1 Waves have no particular shape, unless they do
3.1.2 Complex waves
3.1.3 Wave numbers, wave vectors, plane waves
3.1.4 Photons and other waves are never localized at points
3.2 Fundamental constants without the kilogram
3.2.1 Mass ratios
3.2.2 The identity of energy and frequency
3.2.3 FIAQ
References
4 Matter waves
4.1 Your quantum governmental representative
4.2 A quantum device
4.3 Electricity is a quantum effect
4.4 The continuity equation
4.5 FIAQ
References
5 More quantumy experiments
5.1 The Franck-Hertz particle accelerator
5.2 The Davisson-Germer demonstration experiment
5.2.1 Matter waves tend to be small
5.3 The free space Schr6dinger equation
5.3.1 Interpreting the sign of the frequency
5.3.2 The memorized substitution rules
5.3.3 Don't add the wave functions of two electrons
5.3.4 FIAQ
References
6 Atoms are musical instruments
6.1 The quantum clues you never knew
6.1.1 Atomic spectra
6.1.2 The unknown history
6.1.3 The sound of every tune and no particular tune all at once
6.1.4 The quantum current
6.1.5 Light has the beat
6.2 The Schr6dinger equation
6.2.1 The artful mutilation of a theory
6.2.2 What interaction function?
6.2.3 FIAQ
References
7 Waves with known solutions
7.0.1 A general ansatz
7.0.2 The silver bullet: one rule to solve them all
7.1 The Schr6dinger equation
7.1.1 Expanding in complete orthonormal sets
7.1.2 What eigenvectors mean
7.1.3 The dogmatic eigenvalue equation
7.1.4 The time evolution operator
7.2 Solved models
7.2.1 Fundamental constants from hydrogen
7.2.2 Lessons from hydrogen
7.2.3 More about spherically symmetric systems
Reference
8 Observables
8.1 Collective position, velocity, and momentum: tropical storms
8.1.1 Collective velocity
8.1.2 A concept error about momentum
8.1.3 Velocity second moment
8.1.4 Collective position
8.1.5 The expected classical limit that failed
8.2 The general definition of observables
8.2.1 Collective wave momentum
8.2.2 Constants of the motion
8.2.30 bservability of the wave function
8.2.4 The uncertainty relation: never say 'principle'!
8.3 Logjam restrictions on observabies
8.3.1 FIAQ
References
9 More ways to describe waves
9.1 More than one description
9.1.1 Two ways to add waves
9.1.2 Superposition is not a quantum effect
9.1.3 The eigenstate expansion of observabies
9.1.4 Heisenberg picture
9.1.5 Comparing waves
9.1.6 The Born rule of quantum probability
9.1.7 Avoid bunk about disturbance of measurements
Reference
10 Entanglement
10.1 Sums of products are generic
10.1.1 The two wave electron-proton atom
10.2 Promoting operators, and other notation issues
10.2.1 The quantum interferometer
10.3 The Stern-Gerlach experiment
10.3.1 The relation of polarization and spin
10.3.2 Polarization observables
10.3.3 Many observables cannot be expressed with wave functions
10.3.4 Mott's particle detector and decoherence
10.4 Bell inequalities, EPR, and all that
10.4.1 A long and dirty turf war
10.4.2 The EPR allegory
10.4.3 Bell physics
10.4.4 Quantum probability is not defined by distributions
10.4.5 Something weird
10.5 Chapter summary
10.6 Suggested reading
References
編輯手記
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