This class was created by Brainscape user Fergus O' Sullivan. Visit their profile to learn more about the creator.
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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
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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
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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
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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
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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
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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
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7 - Electrostatics, Gauss's Law, Electric Potential
What is coulomb s law 1,
What is an electric field 2,
What is electric flux 3
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8 - Capacitance And Dielectrics
What are induced dipoles 1,
What is an induced charge 2,
What is polarization 3
16
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9 - Conductors
What is polarization density 1
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10 - Magnetism and Magnectic Materials: Ferromagnetism, Paramagnetism, Diamagnetism
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11 - Non-Uniform And Non-Linear Dielectric Materials
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12 - The Laplace Equation
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13.1 - Revision QP
What is an observable 1,
What is spin precession 2,
What is the orthonormality of the...
9
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13.2 - Revision EMP
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PHYS2012
- Class purpose General learning
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