# 2023/24 Undergraduate Module Catalogue

## PHYS2311 Physics 4- Quantum Phenomena

### 25 creditsClass Size: 250

**Module manager:** Dr Zlatko Papic**Email:** Z.Papic@leeds.ac.uk

**Taught:** Semester 2 (Jan to Jun) View Timetable

**Year running** 2023/24

### This module is mutually exclusive with

PHYS2360 | Quantum Mechanics (Joint Honours) |

**This module is not approved as a discovery module**

### Objectives

By the end of the module you should be able to:Quantum Mechanics:

- write down the time dependent and time independent Schrodinger Equations;

- recall the form of and properties of wave functions, eigenfunctions and probability functions;

- derive the form of the wavefunction for a particle confined in an infinite square well;

- recall the form of the wavefunctions for other confining potentials;

- understand and use the Heisenberg Uncertainty Principle;

- use operators to calculate expectation values;

- describe the concepts of symmetrical and antisymmetrical wave functions;

- explain in general terms the Pauli Exclusion Principle and use spin functions;

- describe the quantum mechanical model of the hydrogen atom;

- describe the electron configuration of atoms and their spectra;

- describe the quantum mechanical origins of ionic and covalent bonds.

- describe the principle of laser action

Nuclear and Particle Physics:

-discuss components of the Standard Model of Particle Physics

-understand and interpret Feynman diagrams

-discuss different models of the nucleus

-estimate nuclear masses

-discuss and predict various forms of radioactive decay and nuclear reactions

Condensed Matter:

- use the density of states to explain some of the differences between metals, semiconductors and insulators;

- derive the free-electron density of states;

- perform straight-forward calculations based on the free-electron theory;

- explain how a periodic potential modifies the free-electron dispersion relation;

- solve problems on the transport properties of semiconductors;

- calculate the magnetic properties (consistent with the syllabus) of paramagnets and ferromagnets.

**Learning outcomes**

Students will be able to demonstrate knowledge, understanding and application of the following:

In Quantum Mechanics:

(1) Probabilistic description of quantum systems using wave functions and the Schroedinger equation;

(2) Predicting outcomes of measurements on quantum systems using operators, observable expectation values and the Heisenberg uncertainty principle;

(3) Describe the behaviour of a quantum particle in one-dimensional potentials, including the potential well, harmonic oscillator potential, propagation across potential barriers and quantum tunnelling;

(4) Quantum-mechanical model of the hydrogen atom;

(5) Pauli exclusion principle, spin and electronic structure of atoms;

(6) Quantum-mechanical origin of chemical bonds and the principle of laser action.

In Nuclear and Particle Physics:

(1) Main components of the Standard Model of Particle Physics;

(2) Understanding and interpretation of Feynman diagrams;

(3) Different models of the atomic nucleus and estimating nuclear masses;

(4) Predicting various forms of radioactive decay and nuclear reactions.

In Condensed Matter:

(1) Using the density of states to explain some of the differences between metals, semiconductors and insulators;

(2) Describing properties of solids using free-electron theory;

(3) The effect of periodic potential on the free-electron dispersion relation;

(4) Transport properties of semiconductors;

(5) Magnetic properties of paramagnets and ferromagnets.

**Skills outcomes**

Understanding of core Quantum Mechanics, Solid State Physics and Particle Physics

### Syllabus

Quantum Mechanics

-Schrodinger equation,

-wave function,

-standard solutions,

-Hydrogen atom,

-spin,

-Pauli exclusion principle,

-Fermions and Bosons.

-1st order time independent perturbation theory, periodic table, quantum structure, spectra of simple atoms, laser action.

Condensed Matter:

-free electron model;

-phonons;

-electrons in a periodic potential

-semiconductors;

-magnetic properties of solids.

Nuclear and Particle Physics:

-introduction to particle physics

-Feynman diagrams

-models of the nucleus

-radioactive decay

-nuclear reactions

### Teaching methods

Delivery type | Number | Length hours | Student hours |

Office Hour Discussions | 11 | 1.00 | 0.00 |

Lecture | 66 | 1.00 | 66.00 |

Independent online learning hours | 55.00 | ||

Private study hours | 129.00 | ||

Total Contact hours | 66.00 | ||

Total hours (100hr per 10 credits) | 250.00 |

### Methods of assessment

**Coursework**

Assessment type | Notes | % of formal assessment |

In-course Assessment | Regular coursework | 20.00 |

Total percentage (Assessment Coursework) | 20.00 |

Resit will be in standard exam format.

**Exams**

Exam type | Exam duration | % of formal assessment |

Standard exam (closed essays, MCQs etc) | 3 hr 00 mins | 80.00 |

Total percentage (Assessment Exams) | 80.00 |

Students will have to complete an in-person exam at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound.

### Reading list

The reading list is available from the Library websiteLast updated: 28/04/2023 14:55:12

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- Undergraduate module catalogue
- Taught Postgraduate module catalogue
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- Taught Postgraduate programme catalogue

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