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# Module Code - Title:

PH4132 - MODERN PHYSICS

2022/3

3

0

2

0

5

6

N

PH4102

# Rationale and Purpose of the Module:

This module will develop the student's understanding of fundamental concepts and ideas in modern physics, specifically the use and application of the Schroedinger equation, and the priciples of special relativity.

# Syllabus:

Wave mechanics: De Broglie's hypothesis, wave functions and probability amplitudes, the Heisenberg Uncertainty principle. The Schroedinger wave equation: simple solutions in one dimension, transmission, reflection and penetration at a barrier, tunnelling, potential wells, the harmonic oscillator. The Schroedinger equation in three dimensions: the hydrogen atom, quantisation of angular momentum, spatial quantisation, the Zeeman effect. Spin: the fourth quantum number, the Pauli exclusion principle. Special Relativity: Relativistic dynamics, relativistic mass and momentum, total energy, mass/energy equivalence. Spacetime: spacetime diagrams, introduction to four-vectors. Application of relativistic dynamics to particle beam devices and collision experiments. Nuclear Physics: Nucleons and nuclear models, nuclear spin nuclear reactions and cross-sections. Introduction to elementary particles and the Standard Model.

# Learning Outcomes:

## Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)

On successful completion of this module, students should be able to: - Define key concepts in modern physics including wave function, probability amplitude, reference frame, invariance. - Solve the Schroedinger equation for 1-dimensional potential wells. - Apply the 3-d Schroedinger equation to the hydrogen atom. - Apply the basic relationships of special relativity to high energy particles. - Derive, from given premises, relevant relationships between physical variables. - Solve problems, from information given, requiring the calculation of the values of physical variables in quantum mechanics and relativity.

## Affective (Attitudes and Values)

- Explain the relevance of quantum theory and relativity in modern views of the physical universe.

N/A

# How the Module will be Taught and what will be the Learning Experiences of the Students:

Students will learn via interactive lecture, experiential and interactive tutorial, and problem-based private study.

# Prime Texts:

Taylor J.R. Zafiratos, C.D. Dubson M.A. (2004) Modern Physics For Scientists and Engineers , Prentice Hall

# Other Relevant Texts:

Blatt F.J. (1992) Modern Physics , McGraw-Hill

Spring - 09/10