# PHSI231 Quantum and Thermal Physics

## Paper Description

This paper covers three major topics in Physics. The Classical Mechanics section presents a mathematically rigorous account of Newton’s laws, mechanics and harmonic oscillators. The Quantum Mechanics section introduces the wave function, Schrödinger’s equations and applications. The Thermal Physics section introduces the laws of thermodynamics and statistical mechanics for isolated systems and systems connected to a thermal reservoir.

The course consists of 36 lectures, and 12 two-hour workshops (one per week), which focus on problem solving. There is a weekly assignment, and a one hour tutorial each week to assist with the assignment

Assessment:
Final exam 60%, Assignments 30%, Workshops 10%.

Important information about assessment for PHSI231

Course Coordinator:
Dr Mikkel Andersen

After completing this paper students will be able to:
1. State the basic principles of three key topics in physics: Newtonian classical mechanics, introductory wave-function-based quantum mechanics and thermal physics (thermodynamics, microcanonical and canonical statistical mechanics)
2. Apply these principles, in conjunction with mathematical and statistical techniques, to solve problems in these three topic areas
3. Present a solution to a physics problem in a clear and logical written form and be able to assess whether a solution is physically reasonable
4. Locate and use additional sources of information, such as text books and discussion with peers, to facilitate problem solving

### Lecture Topics

Classical Mechanics Lecturer: Prof Blair Blakie
Newton’s laws in 3D, vector calculus.
Motion of particles experiencing drag and charged particles in a magnetic field.
Linear and angular momentum. Conservation laws for single- and many-particle systems.
Work, kinetic and mechanical energy for single- and many-particle systems. Line integrals and potential energy. Grad and Curl operators.
Solutions and properties of the damped driven harmonic oscillator.
Textbook: Classical Mechanics, John R. Taylor, University Science Books

Quantum Mechanics Lecturer: Dr Mikkel Andersen
Wave function and statistical interpretation.
Operators and expectations. Uncertainty.
Time-dependent and time-independent Schrödinger equation. Stationary states in 1D: plane waves, square well, harmonic oscillator. Time evolution.
Extension to 3D. Hydrogen atom.
Textbook: Introduction to Quantum Mechanics, (2nd Edition), David J.Griffiths

Thermal Physics Lecturer: Dr Philip Brydon
First law of thermodynamics. Equations of state and heat capacity.
Statistical mechanics of isolated systems: paramagnet, Einstein solid and monatomic ideal gas. Multiplicity, entropy and related thermodynamic parameters.
Second law. Efficiency of heat engines and refrigerators.
Free energy. Boltzmann statistics.
Textbook: An introduction to thermal physics, Daniel V. Schroeder, Addison Wesley Longman

# Formal University Information

The following information is from the University’s corporate web site.

## Details

Introduction to the fundamental microscopic and macroscopic theories of matter. Quantum physics: wave-particle duality, the uncertainty principle, the measurement problem. Thermodynamics; principles of statistical mechanics. Classical mechanics.

This paper covers three major topics in physics. The Classical Mechanics section presents a mathematically rigorous account of Newton's laws, mechanics and harmonic oscillators. The Quantum Mechanics section introduces the wave function, Schrödinger's equations and applications. The Thermal Physics section introduces the laws of thermodynamics and statistical mechanics for isolated systems and systems connected to a thermal reservoir.

Paper title Quantum and Thermal Physics PHSI231 Physics 0.1500 18 points First Semester \$1,059.15 \$4,627.65
Prerequisite
One of PHSI 131, PHSI 132, PHSI 191, PHSI 110 and (MATH 160 or MATH 170). Students without the Mathematics background recommended for PHSI 231 may still be admitted to the paper. To do this, apply for Special Permission at the Review and Submit stage of your application.
Restriction
PHSI 251
Schedule C
Science
Notes
It is strongly recommended that students taking PHSI231 or PHSI232 have passed MATH170 or are enrolled in MATH170 and have a B grade or better in MATH160.
Contact
mikkel.andersen@otago.ac.nz
Teaching staff
Course Co-ordinator: Dr Mikkel Andersen
Professor Blair Blakie
Dr Philip Brydon
Textbooks
Classical Mechanics, John R. Taylor, University Science Books

Introduction to Quantum Mechanics, (2nd Edition), David J. Griffiths

An introduction to thermal physics, Daniel V. Schroeder, Addison Wesley Longman
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students will be able to:
1. State the basic principles of three key topics in physics: Newtonian classical mechanics, introductory wave-function-based quantum mechanics and thermal physics (thermodynamics, microcanonical and canonical statistical mechanics)
2. Apply these principles, in conjunction with mathematical and statistical techniques, to solve problems in these three topic areas
3. Present a solution to a physics problem in a clear and logical written form and be able to assess whether a solution is physically reasonable
4. Locate and use additional sources of information, such as text books and discussion with peers, to facilitate problem solving

## Timetable

### First Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Wednesday 10:00-10:50 9-16, 18-22
Thursday 10:00-10:50 9-16, 18-22
Friday 10:00-10:50 9-15, 18-22

#### Tutorial

Stream Days Times Weeks
Attend
T1 Monday 13:00-13:50 10-16, 18-22

#### Workshop

Stream Days Times Weeks
Attend one stream from
A1 Tuesday 14:00-15:50 9-16, 18-22
A2 Thursday 14:00-15:50 9-16, 18-22

Introduction to the fundamental microscopic and macroscopic theories of matter. Quantum physics: wave-particle duality, the uncertainty principle, the measurement problem. Thermodynamics; principles of statistical mechanics. Classical mechanics.

This paper covers three major topics in physics. The Classical Mechanics section presents a mathematically rigorous account of Newton's laws, mechanics and harmonic oscillators. The Quantum Mechanics section introduces the wave function, Schrödinger's equations and applications. The Thermal Physics section introduces the laws of thermodynamics and statistical mechanics for isolated systems and systems connected to a thermal reservoir.

Paper title Quantum and Thermal Physics PHSI231 Physics 0.1500 18 points First Semester Tuition Fees for 2020 have not yet been set Tuition Fees for international students are elsewhere on this website.
Prerequisite
One of PHSI 110 , PHSI 131, PHSI 132, PHSI 191, and (MATH 160 or MATH 170)
Restriction
PHSI 251
Schedule C
Science
Notes
It is strongly recommended that students taking PHSI231 or PHSI232 have passed MATH170 or are enrolled in MATH170 and have a B grade or better in MATH160. Students without the Mathematics background recommended for PHSI231 may still be admitted to the paper. To do this, apply for Special Permission at the Review and Submit stage of your application.
Contact
mikkel.andersen@otago.ac.nz
Teaching staff
Course Co-ordinator: Dr Mikkel Andersen
Professor Blair Blakie
Dr Philip Brydon
Textbooks

Classical Mechanics, John R. Taylor, University Science Books

Introduction to Quantum Mechanics, Third edition, by David J. Griffiths and Darrell F. Schroeter

An introduction to thermal physics, Daniel V. Schroeder, Addison Wesley Longman

Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students will be able to:
1. State the basic principles of three key topics in physics: Newtonian classical mechanics, introductory wave-function-based quantum mechanics and thermal physics (thermodynamics, microcanonical and canonical statistical mechanics)
2. Apply these principles, in conjunction with mathematical and statistical techniques, to solve problems in these three topic areas
3. Present a solution to a physics problem in a clear and logical written form and be able to assess whether a solution is physically reasonable
4. Locate and use additional sources of information, such as text books and discussion with peers, to facilitate problem solving

## Timetable

### First Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
L1 Wednesday 10:00-10:50 9-15, 17-22
Thursday 10:00-10:50 9-15, 17-22
Friday 10:00-10:50 9-14, 17-22

#### Tutorial

Stream Days Times Weeks
Attend
T1 Tuesday 13:00-13:50 10-15, 17, 19-22

#### Workshop

Stream Days Times Weeks
Attend one stream from
A1 Tuesday 14:00-15:50 9-15, 17-22
A2 Thursday 14:00-15:50 9-15, 17-22