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Quantum Mechanics 1

This class was created by Brainscape user Bryony Williams. Visit their profile to learn more about the creator.

By: Bryony Williams
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Decks in this class (8)

Lecture 1
1.1. What we need from a theory of mechanics for quantum particles 1.2. The wave equation in quantum mechanics 1.3. The time-dependent Schrödinger Equation
10  cards
Lecture 2
2.1. The Born probability interpretation 2.2. Normalisation of the wave function 2.3. The 1st postulate of quantum mechanics 2.4. The wave function of a free particle 2.5. The wave function of a point particle
8  cards
Self study 1
1. Sketch a Gaussian function, including labelling its turning points and its characteristic width. 2. State an expression for a Gaussian wave packet. 3. Demonstrate mathematically that a Gaussian wave packet can be represented as a linear combination of freeparticle wave functions, and such a linear combination includes a range of momenta consistent with the uncertainty principle.
4  cards
Lecture 3
3.1. Observables as operators 3.2. The second postulate of quantum mechanics 3.3. The third postulate of quantum mechanics 3.4. The physical significance of eigenfunctions 3.5. The Schrödinger equation in terms of operators
15  cards
Lecture 4
4.1. Time-independent probability distributions 4.2. The time-independent Schrödinger equation 4.3. Stationary states: eigenfunctions of the Hamiltonian 4.4. Example stationary states: region of constant potential 4.5. Barrier problems 4.6. Recipe for solving problems involving constant potentials 4.7. Boundary conditions
6  cards
Lecture 5
5.1. Interior solutions 5.2. Sketching solutions 5.3. Energy quantisation
4  cards
Lecture 6
6.1. Probability flux 6.2. The continuity equation 6.3. Derivation of probability flux 6.4. Persistence of normalisation
6  cards
Self study 2
6.1. Interior and exterior solutions 6.2. Applying boundary conditions 6.3. Symmetric case 6.4. Anti-symmetric case 6.5. Graphical method 6.6. Numerical method
1  cards

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Quantum Mechanics 1

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