This class was created by Brainscape user Fergus O' Sullivan. Visit their profile to learn more about the creator.

Decks in this class (14)

1 - 'Case Studies' of Two-Dimensional Quantum Systems
- Understand how one component of the spin angular momentum of the electron is measured with a Stern-Gerlach device; - Understand the results of different measurements of the spin of a spin-1/2 particle; - Quantitatively describe a single spin-1/2 particle in a Stern-Gerlach device as a state vector, using different bases corresponding to the direction of spin measurement; - Distinguish between 'single shot' measurements with probabilistic outcomes, and expectation values of observables;
36  cards
2 - States, Observables, And Measurements
- Describe the formalism of quantum physics in terms of Hilbert space (complex vector space), linear operators, eigenvalues and eigenvectors, focusing on their formulation as 2x2 matrices for describing two-level systems;
15  cards
3 - Quantum Dynamics
- Describe time evolution of a quantum system; - Relate time evolution to the Schroedinger equation and the Hamiltonian operator; - Appreciate the primary role of the energy eigenbasis, and directly describe time evolution in this basis; - Quantitatively describe the time evolution of a single spin-1/2 particle in a magnetic field.
6  cards
4 - Entanglement, Einstein's Incompleteness and Bell's Theorem
- Explain the EPR experiment using spin-1/2 particles; describe multiparticle quantum systems using the tensor product; - Describe and manipulate entangled singlet states of two spin-1/2 particles, and calculate the outcomes of spin measurements; - Explain the significance of Bell's inequality to hidden variables; - Explain entanglement and its physical significance.
0  cards
5 - Particles in Space
- Qualitatively and quantitatively describe wave functions as quantum states in an infinite-dimensional Hilbert space; - Understand the relationship between the state vector description of a quantum state and the position representation (the wavefunction); - Express the Schroedinger equation for a particle in 1-D as a differential wave equation; - Solve the eigenstates of a particle in an infinite and finite quantum well.
1  cards
6 - Quantum Harmonic Oscillator
- Qualitatively understand the eigenstates of a particle in a Quantum Harmonic Oscillator; - Calculate expectation values of operators for the QHO; - Determine the time evolution of the QHO; - Interpret classical and non-classical states and the behaviour of the QHO.
0  cards
7 - Electrostatics, Gauss's Law, Electric Potential
What is coulomb s law,
What is an electric field,
What is electric flux
32  cards
8 - Capacitance And Dielectrics
What are induced dipoles,
What is an induced charge,
What is polarization
16  cards
9 - Conductors
What is polarization density
1  cards
10 - Magnetism and Magnectic Materials: Ferromagnetism, Paramagnetism, Diamagnetism
0  cards
11 - Non-Uniform And Non-Linear Dielectric Materials
0  cards
12 - The Laplace Equation
0  cards
13.1 - Revision QP
What is an observable,
What is spin precession,
What is the orthonormality of the...
9  cards
13.2 - Revision EMP
0  cards

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PHYS2012

  • Class purpose General learning

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