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October 25, 2017, at 09:02 AM by 139.80.236.40 -
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'''Question format:'''
to:
'''Question format'''
October 25, 2017, at 09:01 AM by 139.80.236.40 -
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'''Exam Format'''
* 2 hours, closed book
* 3 questions of equal weight. Choose 2.
October 25, 2017, at 09:00 AM by 139.80.236.40 -
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* To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given. If you get snagged on a some part of the problem, you should be able to carry on in the next sub-question.
to:
* To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given.
October 25, 2017, at 08:59 AM by 139.80.236.40 -
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* For applications, focus on chapters  4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures but didn't go into in detail. 
to:
* For applications, focus on chapters  4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures.
October 25, 2017, at 08:58 AM by 139.80.236.40 -
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Pictures of time evolution

Simple quantum systems: two-level atom, simple harmonic oscillator

Interactions between light and matter

Fundamentals processes in quantum optics and open quantum systems

Born approximation and scattering theory
to:
* Pictures of time evolution
* Simple quantum systems: two-level atom, simple harmonic oscillator
* Interactions between light and matter
* Fundamentals processes in quantum optics and open quantum systems
* Born approximation and scattering theory
October 25, 2017, at 08:57 AM by 139.80.236.40 -
Added lines 52-64:

'''Key concepts'''

Pictures of time evolution

Simple quantum systems: two-level atom, simple harmonic oscillator

Interactions between light and matter

Fundamentals processes in quantum optics and open quantum systems

Born approximation and scattering theory

October 25, 2017, at 08:39 AM by 139.80.236.40 -
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[++Exam study tips++]
Added lines 45-51:

'''Question format:'''
* questions begin with a qualitative/descriptive component, then lead into applications.
* Because it is closed book, and only 2 hours, questions will generally involve quite a bit of "scaffolding", that is, you won't be asked to reproduced a large proof, but rather to work your way through one or two problems, in several parts.
* To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given. If you get snagged on a some part of the problem, you should be able to carry on in the next sub-question.
* It will be assumed you are ''very'' familiar with chapters 2,3.
* For applications, focus on chapters  4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures but didn't go into in detail.
October 16, 2017, at 12:39 PM by 139.80.236.40 -
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There were a couple of embargoed years. Anything pre 2009 is not relevant (old paper structure).
to:
There were a couple of embargoed years. Anything pre 2009 is not immediately relevant (old paper structure).
October 16, 2017, at 12:38 PM by 139.80.236.40 -
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'''Finding Past Exams''' go to: http://www.otago.ac.nz/library/exams/
to:
'''Finding Past Exams:''' http://www.otago.ac.nz/library/exams/
October 16, 2017, at 12:38 PM by 139.80.236.40 -
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''' past exams''' go to: http://www.otago.ac.nz/library/exams/
to:
'''Finding Past Exams''' go to: http://www.otago.ac.nz/library/exams/
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October 16, 2017, at 12:37 PM by 139.80.236.40 -
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''' past exams''' go to: http://www.otago.ac.nz/library/exams/
and search for PHSI 453, 424, 405.
There were a couple of embargoed years. Anything pre 2009 is not relevant (old paper structure).
October 09, 2017, at 04:07 PM by 139.80.236.40 -
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Exam session: 2pm on 26 October, G400
to:
Exam session: 2pm on 26 October, room 311
October 09, 2017, at 04:07 PM by 139.80.236.40 -
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Exam session: 2pm on 26 October
to:
Exam session: 2pm on 26 October, G400
October 09, 2017, at 04:06 PM by 139.80.236.40 -
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Exam session: 2pm on 26 October
October 05, 2017, at 09:09 AM by 139.80.236.40 -
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Edit: let's drop 9.8 (more involved than I had intended, and not of high value at this stage in the course).
to:
'''Edit:''' let's drop problem 9.8 (not of high value at this stage in the course).
October 05, 2017, at 09:05 AM by 139.80.236.40 -
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October 05, 2017, at 09:04 AM by 139.80.236.40 -
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Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8], 9.8
to:
Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8],
Edit: let's drop
9.8 (more involved than I had intended, and not of high value at this stage in the course).
October 04, 2017, at 02:25 PM by 139.80.236.40 -
Changed line 55 from:
Problems 9.4, 9.6, 9.7, 9.8
to:
Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8], 9.8
October 02, 2017, at 02:23 PM by 139.80.236.40 -
Changed line 55 from:
Problems 9.4, 9.6, 10.8 [Hint: fluctuations are on top of homogeneous background. See discussion above Eq. (10.53)]
to:
Problems 9.4, 9.6, 9.7, 9.8
Changed line 55 from:
Problems 9.4, 9.6, 10.8 [Hint: see discussion above Eq. (10.53)]
to:
Problems 9.4, 9.6, 10.8 [Hint: fluctuations are on top of homogeneous background. See discussion above Eq. (10.53)]
Changed line 55 from:
Problems 9.4, 9.6, 10.8
to:
Problems 9.4, 9.6, 10.8 [Hint: see discussion above Eq. (10.53)]
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* Assignment 3, TBA
to:
* Assignment 3, due 5pm Wednesday 11th October:
Problems 9.4, 9.6, 10.8
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Problems 6.1, 7.6, 8.5
to:
Problems 6.1, 7.6, 8.5

* Assignment 3, TBA
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Lecture break for Hons projects: next lecture Monday 25th September
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* Assignment 2, due 5pm Friday 8th September:
to:
* Assignment 2, due 5pm Monday 11th September:
August 23, 2017, at 07:39 AM by 139.80.236.40 -
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No lecture Monday 14 August (Hons talks)
to:
No lecture Monday 14 August (Hons talks).
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August 23, 2017, at 07:39 AM by 139.80.236.40 -
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Workshop on 24 August will focus on understanding and using the master equation.
August 23, 2017, at 07:36 AM by 139.80.236.40 -
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Problems 6.1, 7.6, 8.3
to:
Problems 6.1, 7.6, 8.5
August 23, 2017, at 07:36 AM by 139.80.236.40 -
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Problems
to:
Problems 6.1, 7.6, 8.3
August 23, 2017, at 07:32 AM by 139.80.236.40 -
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tba
to:
Problems
August 23, 2017, at 07:32 AM by 139.80.236.40 -
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to:
No lecture Wednesday 23 August.
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* Assignment 2, due 5pm Friday 8th September:
tba
August 14, 2017, at 09:19 AM by 139.80.236.40 -
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August 14, 2017, at 09:19 AM by 139.80.236.40 -
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to:
No lecture Monday 14 August (Hons talks)
August 07, 2017, at 03:01 PM by 139.80.236.40 -
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* Assignment 1, due Monday 7th August:
to:
* Assignment 1, due 12 noon, Friday 11th August:
July 27, 2017, at 08:57 AM by 139.80.236.40 -
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*'''Assignment 1 TBA
to:
* Assignment 1, due Monday 7th August:
Problems 3.9, 3.10, 4.5, 5.4, 5.5
July 17, 2017, at 12:42 PM by 139.80.236.40 -
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*Revised notes online below.

*Lecturer will be on conference leave for the week of 12-16 September, so including project week, there will be a 2 week break in lectures.

*Exam time: Thursday 27 October, 9.30.

**[[Attach:formulaSheet2016.pdf|Formula sheet 2016]]

** [[Attach:question1_2015.pdf|question1_2015]], [[Attach:question2_2014.pdf|question2_2014]],[[Attach:question3_2014.pdf|question3_2014]]

** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes. Unfortunately it is too late to alter the exam.

to:
Changed lines 41-45 from:
*'''Assignment 1 [due Tuesday 26 July, 5pm]''': Ex 2.1, 2.2, 3.6, 3.7, 3.9.

*'''Assignment 2 [due Friday 30 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5

*'''Assignment 3 [due Friday 14 October, 5pm]''': Ex 9.3, 9.4, 9.6, 10.1, 10.7, 10.8
to:
*'''Assignment 1 TBA
July 17, 2017, at 12:41 PM by 139.80.236.40 -
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:'''LECTURE TIMES''':
to:
:'''LECTURES''':

*Monday 2pm - 2.50pm, G400

Changed lines 19-21 from:
*Wednesday 9am - 9.50am, G400

*Thursday 9am - 9.50am, G400
to:
:'''WORKSHOP''':

*Thursday 2pm - 2
.50pm, 314
July 17, 2017, at 11:59 AM by 139.80.236.40 -
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*[[Attach:PHSI424_2016v1.pdf|2017 Version 1]]
to:
*[[Attach:PHSI424_2017v1.pdf|2017 Version 1]]
July 17, 2017, at 11:58 AM by 139.80.236.40 -
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*[[Attach:PHSI424_2016v1.pdf|Version 1]]
to:
*[[Attach:PHSI424_2016v1.pdf|2017 Version 1]]
October 22, 2016, at 04:27 PM by 60.234.107.26 -
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** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes.
to:
** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes. Unfortunately it is too late to alter the exam.
October 22, 2016, at 04:26 PM by 60.234.107.26 -
Changed line 37 from:
** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
to:
** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes.
October 22, 2016, at 04:25 PM by 60.234.107.26 -
Changed line 37 from:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
to:
** '''Note one typo in formula sheet!''' Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
October 22, 2016, at 04:25 PM by 60.234.107.26 -
Changed line 37 from:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) in the notes
to:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
October 22, 2016, at 04:24 PM by 60.234.107.26 -
Changed line 37 from:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y)
to:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) in the notes
October 22, 2016, at 04:23 PM by 60.234.107.26 -
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** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be 1/2(sigma_x +/- i sigma_y)
to:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y)
October 22, 2016, at 04:23 PM by 60.234.107.26 -
Changed line 37 from:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should sigma_x +/- i sigma_y
to:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be 1/2(sigma_x +/- i sigma_y)
October 22, 2016, at 04:22 PM by 60.234.107.26 -
Changed line 37 from:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be +/-
to:
** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should sigma_x +/- i sigma_y
October 22, 2016, at 04:22 PM by 60.234.107.26 -
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** Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be +/-
October 21, 2016, at 02:00 PM by 139.80.236.40 -
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**Formula sheet [[Attach:formulaSheet2016.pdf|2016]]
to:
**[[Attach:formulaSheet2016.pdf|Formula sheet 2016]]
October 21, 2016, at 01:59 PM by 139.80.236.40 -
Added lines 34-35:

** [[Attach:question1_2015.pdf|question1_2015]], [[Attach:question2_2014.pdf|question2_2014]],[[Attach:question3_2014.pdf|question3_2014]]
October 21, 2016, at 01:48 PM by 139.80.236.40 -
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**Formula sheet [[Attach:formulaSheet2016.pdf|2016]]
October 04, 2016, at 01:24 PM by 139.80.236.40 -
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*'''Assignment 2 [due Friday 30 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
to:
*'''Assignment 2 [due Friday 30 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5

*'''Assignment 3 [due Friday 14 October, 5pm]''': Ex 9.3, 9.4, 9.6, 10.1, 10.7, 10.8
Changed line 46 from:
*'''Assignment 2 [due Friday 9 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
to:
*'''Assignment 2 [due Friday 30 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
August 26, 2016, at 11:17 AM by 139.80.236.40 -
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*Exam time: Thursday 27 October, 9.30.
August 25, 2016, at 11:13 AM by 139.80.236.40 -
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*Lecturer will be on conference leave for the week of 12-16 September, so including project week, there will be a 2 week break in lectures.
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*'''Assignment 2 [due Friday 9 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
to:
*'''Assignment 2 [due Friday 9 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
August 19, 2016, at 12:06 PM by 139.80.236.40 -
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*'''Assignment 2 [due Friday 9 September, 5pm]''': Ex 5.5, 5.6, 6.1, 6.2, 7.5
July 14, 2016, at 12:27 PM by 139.80.236.40 -
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*'''Assignment 1''': Ex 2.1, 2.2, 3.6, 3.7, 3.9.
to:
*'''Assignment 1 [due Tuesday 26 July, 5pm]''': Ex 2.1, 2.2, 3.6, 3.7, 3.9.
July 14, 2016, at 12:26 PM by 139.80.236.40 -
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*'''Assignment 1''' to be announced.
to:
*'''Assignment 1''': Ex 2.1, 2.2, 3.6, 3.7, 3.9.
July 07, 2016, at 12:48 PM by 139.80.236.40 -
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*'''Assignment 1 to be announced.
to:
*'''Assignment 1''' to be announced.
July 07, 2016, at 12:47 PM by 139.80.236.40 -
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*'''Assignment 1, due Wednesday 19 August'''. Problems 4.4, 4.5, 4.6, 5.1, 6.4
to:
*'''Assignment 1 to be announced.
July 07, 2016, at 12:32 PM by 139.80.236.40 -
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:'''Prerequisites''': Module 423. PHSI 336 strongly recommended.
to:
:'''Prerequisites''': PHSI 423. PHSI 336 strongly recommended.
July 07, 2016, at 12:31 PM by 139.80.236.40 -
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Deleted line 24:
July 07, 2016, at 12:31 PM by 139.80.236.40 -
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Deleted line 22:
July 07, 2016, at 12:29 PM by 139.80.236.40 -
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:'''Prerequisites''': Module 404. PHSI 336 strongly recommended.
to:
:'''Prerequisites''': Module 423. PHSI 336 strongly recommended.
Changed lines 13-18 from:
:'''REVISED TIMES''':

*Tuesday 11am - 12pm, G09

*Wednesday 10am - 12pm in 4th floor Video Conference room
to:
:'''LECTURE TIMES''':

*Tuesday 10am - 10.50am, G400

*Wednesday 9am - 9.50am, G400

*Thursday 9am - 9.50am, G400

Changed lines 29-34 from:
*Revised notes online below. (future changes will be kept minimal this semester).
*Assignment 1 now due 19 August (to further free up project week).
*'''18 August lecture cancelled''' (due to illness). New time later this week to be determined.
* Assignment 1 now accepted until '''Friday 21 August'''.
* Due to illness, I have been unable to give 9/9 and 10/9 lectures. Next week (14/9 - 18/9) is project week (Friday is the due day!). I will add an announcement about assignment 2 soon, but the aim is to not clash with your commitments next week too much.
* Monday 19 October - '''Exam study session''', 2pm 3rd floor AV room
to:
*Revised notes online below.
Changed lines 35-40 from:
*[[Attach:AdvQII(405)_2015_V1.pdf|Version 1]]

*[[Attach:AdvQII2015_V3.pdf|Version 3]]

*[[Attach:AdvQII2015_V3.1.pdf|Version 3.1]]

to:
*[[Attach:PHSI424_2016v1.pdf|Version 1]]

Deleted lines 42-50:

*'''Assignment 2, Wednesday 30 September'''.
1. Derive (8.49) from (8.40).

2. Derive (8.51).

3. Problems 9.3, 9.4, 9.6, 9.7

*'''Assignment 3, due Friday 9 October'''. Problems 10.2, 10.6, 10.7, 10.8 [homogeneous system: neglect trap and quantum pressure], 10.10
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!Module 405: Advanced Quantum Mechanics II (PHSI)
to:
!PHSI 424: Advanced Quantum Mechanics II (PHSI)
Added lines 1-56:
(:notitle:)
!Module 405: Advanced Quantum Mechanics II (PHSI)
>>rframe width=800px<<
%thumb width=700px% Attach:2lvlAt.png | [- Two level atom coupled to a single mode of the Electromagnetic field. -]
>><<
\\
This course presents a treatment of non-relativistic many-body theory with applications to quantum optics and degenerate quantum gases.

:'''Prerequisites''': Module 404. PHSI 336 strongly recommended.

:'''Lecturer''': [[http://www.physics.otago.ac.nz/research/btg/Site/DrAshtonBradley|Ashton Bradley]]. Room 416. Ph 4794121. ashton.bradley@otago.ac.nz

:'''REVISED TIMES''':

*Tuesday 11am - 12pm, G09

*Wednesday 10am - 12pm in 4th floor Video Conference room

:'''Assessment''': 30% assignments, 70% Exam (Closed book).

\\

----

'''''Announcements'''''

*Revised notes online below. (future changes will be kept minimal this semester).
*Assignment 1 now due 19 August (to further free up project week).
*'''18 August lecture cancelled''' (due to illness). New time later this week to be determined.
* Assignment 1 now accepted until '''Friday 21 August'''.
* Due to illness, I have been unable to give 9/9 and 10/9 lectures. Next week (14/9 - 18/9) is project week (Friday is the due day!). I will add an announcement about assignment 2 soon, but the aim is to not clash with your commitments next week too much.
* Monday 19 October - '''Exam study session''', 2pm 3rd floor AV room
----

'''''Course notes'''''

*[[Attach:AdvQII(405)_2015_V1.pdf|Version 1]]

*[[Attach:AdvQII2015_V3.pdf|Version 3]]

*[[Attach:AdvQII2015_V3.1.pdf|Version 3.1]]

----
''''' Assignments (problems are from version 1 course notes linked above) '''''


*'''Assignment 1, due Wednesday 19 August'''. Problems 4.4, 4.5, 4.6, 5.1, 6.4

*'''Assignment 2, Wednesday 30 September'''.
1. Derive (8.49) from (8.40).

2. Derive (8.51).

3. Problems 9.3, 9.4, 9.6, 9.7

*'''Assignment 3, due Friday 9 October'''. Problems 10.2, 10.6, 10.7, 10.8 [homogeneous system: neglect trap and quantum pressure], 10.10