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*** Lecture 9: Vector spaces and linear algebra [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=27e66678-b71c-419a-97d2-acbc014b9b92 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003_-_Lecture_9_LinearAlgebra.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 9: Vector spaces and linear algebra [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=27e66678-b71c-419a-97d2-acbc014b9b92 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003_-_Lecture_9_LinearAlgebra.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 10: The quantum harmonic oscillator [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=13d957d6-0841-46c4-b071-acc4014c572f <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003_-_Lecture_10-The_Quantum_Harmonic_Oscillator.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 10: The quantum harmonic oscillator [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=13d957d6-0841-46c4-b071-acc4014c572f <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003_-_Lecture_10-The_Quantum_Harmonic_Oscillator.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 11: Solutions to the harmonic oscillator [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=d1e79f04-3142-4262-a4db-ab7f0180ecc2 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Solutions_of_the_Harmonic_oscillator.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 11: Solutions to the harmonic oscillator [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=d1e79f04-3142-4262-a4db-ab7f0180ecc2 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Solutions_of_the_Harmonic_oscillator.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 12: Free particle [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=bcead7da-1a72-417e-ad82-ab80017959cf <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Free_particle.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 12: Free particle [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=bcead7da-1a72-417e-ad82-ab80017959cf <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Free_particle.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 13: Reciprocal space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=d268888f-b37b-4e72-9e0b-ab8601578707 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Reciprocal_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]  
*** Lecture 13: Reciprocal space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=d268888f-b37b-4e72-9e0b-ab8601578707 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Reciprocal_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]  
** Lecture 14: Uncertainty principle [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=b666855d-2c34-4179-a12c-ab87001eca62 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Uncertainty_principle.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 14: Uncertainty principle [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=b666855d-2c34-4179-a12c-ab87001eca62 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Uncertainty_principle.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 15: Bound state of the $\delta$-potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=a9f44059-dee4-4fc8-9028-ab8e002939ed <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-Bound_state_of_the_delta_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 15: Bound state of the $\delta$-potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=a9f44059-dee4-4fc8-9028-ab8e002939ed <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-Bound_state_of_the_delta_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 16: Scattering states of the $\delta$-potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=cad17466-e213-4730-8483-ab8f00243910 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:44AP003-Lecture-Scattering_state_of_the_delta_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 16: Scattering states of the $\delta$-potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=cad17466-e213-4730-8483-ab8f00243910 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:44AP003-Lecture-Scattering_state_of_the_delta_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 17: Bound states of the finite square well potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=13a4cca7-7702-4856-b8a0-aba3012f0674 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-Bound_states_of_the_finite_square_well_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]] [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=4a3be9c2-e19f-44ad-b515-aba3012e7126 <i class="fa fa-desktop" aria-hidden="true"></I>]
*** Lecture 17: Bound states of the finite square well potential [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=13a4cca7-7702-4856-b8a0-aba3012f0674 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-Bound_states_of_the_finite_square_well_potential.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]] [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=4a3be9c2-e19f-44ad-b515-aba3012e7126 <i class="fa fa-desktop" aria-hidden="true"></I>]
** Lecture 18: The Hilbert space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=7bd07cbc-fee8-45c8-896f-aba4012a3c10 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-The_Hilbert_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 18: The Hilbert space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=7bd07cbc-fee8-45c8-896f-aba4012a3c10 <i class="fa fa-video-camera" aria-hidden="true"></i>] [[:Media:4AP003-Lecture-The_Hilbert_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 19: Operators in the Hilbert space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=14d1d8bc-4a3d-4b25-a229-abaa0125826d <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Operators_in_the_Hilbert_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 19: Operators in the Hilbert space [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=14d1d8bc-4a3d-4b25-a229-abaa0125826d <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Operators_in_the_Hilbert_space.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 20: Postulates of Quantum Mechanics [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=239420d1-9f0d-49a9-bc09-abaa01354833 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Postulates_of_Quantum_Mechanics.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 20: Postulates of Quantum Mechanics [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=239420d1-9f0d-49a9-bc09-abaa01354833 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Postulates_of_Quantum_Mechanics.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 21: Bosons: ladder operators and coherent states [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=11ff00a7-1b1c-4496-8030-abaf01713124 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Bosons_ Ladder_operators_and_coherent_states.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 21: Bosons: ladder operators and coherent states [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=11ff00a7-1b1c-4496-8030-abaf01713124 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Bosons_ Ladder_operators_and_coherent_states.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 22: Fermions: the two-level system and Pauli matrices [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=3d30454e-d70d-400c-9e42-abb000033ec5 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Fermions_ the_two-level_system_and_Pauli_matrices.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 22: Fermions: the two-level system and Pauli matrices [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=3d30454e-d70d-400c-9e42-abb000033ec5 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Fermions_ the_two-level_system_and_Pauli_matrices.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
** Lecture 23: Rabi oscillations [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=3d877595-4d87-44cc-8007-abb0002326c1 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Rabi_oscillations.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]
*** Lecture 23: Rabi oscillations [https://wlv.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=3d877595-4d87-44cc-8007-abb0002326c1 <i class="fa fa-video-camera" aria-hidden="true"></I>] [[:Media:4AP003-Lecture-Rabi_oscillations.pdf|<i class="fa fa-file-pdf-o" aria-hidden="true"></i>]]


* Solid State Physics (5AP002, Lectures & Tutorials; Module leader):  
* Solid State Physics (5AP002, Lectures & Tutorials; Module leader):  

Revision as of 17:56, 4 March 2021


Courses taught at the University of Wolverhampton

2020/21

  • Quantum mechanics (4AP003, Lectures & Tutorials; Module leader):
    • Lectures:
      • Lectures 1 & 2: Random Variables
      • Lecture 3: Discrete probability distributions
      • Lecture 4: Correlations
      • Lecture 5: Continuous random variables - Normal distribution
      • Lecture 6: Schrödinger's equation
      • Lecture 7: Momentum operator in quantum mechanics
      • Lecture 8: Time independent Schrödinger equation & Particle in a box
      • Lecture 9: Vector spaces and linear algebra
      • Lecture 10: The quantum harmonic oscillator
      • Lecture 11: Solutions to the harmonic oscillator
      • Lecture 12: Free particle
      • Lecture 13: Reciprocal space
      • Lecture 14: Uncertainty principle
      • Lecture 15: Bound state of the $\delta$-potential
      • Lecture 16: Scattering states of the $\delta$-potential
      • Lecture 17: Bound states of the finite square well potential
      • Lecture 18: The Hilbert space
      • Lecture 19: Operators in the Hilbert space
      • Lecture 20: Postulates of Quantum Mechanics
      • Lecture 21: Bosons: ladder operators and coherent states
      • Lecture 22: Fermions: the two-level system and Pauli matrices
      • Lecture 23: Rabi oscillations
  • Solid State Physics (5AP002, Lectures & Tutorials; Module leader):
    • Lectures:
      • Lecture 1: Introduction to lattices
      • Lecture 2: Bravais lattices
      • Lecture 3: Reciprocal lattices
      • Lecture 4: Bragg law and diffraction condition
      • Lecture 5: Van der Waals and Lennard-Jones potentials
      • Lecture 6: Coupled harmonic oscillators
      • Lecture 7: Introduction to phonons
      • Lecture 8: More about phonons
      • Lecture 9: Density of states
      • Lecture 10: Obtaining the density of states
      • Lecture 11: Debye model
      • Lecture 12: Einstein model and electron gas
      • Lecture 13: Free electron gas in 3D
      • Lecture 14: Contribution of electrons to the heat capacity and electric conductivity
      • Lecture 15: The Hall effect and the origin of the energy gap
      • Lecture 16: Energy gap and Kronig-Penney model
      • Lecture 17: The central equation
      • Lecture 18: Energy gap at the boundary of the Brillouin zone
      • Lecture 19: Semiconductors
      • Lecture 20: Electrons and holes in semiconductors
      • Lecture 21: Intrinsic carrier concentration
      • Lecture 22: Doped semiconductors
    • Experiments:
  • Research I (6AP003, Lectures & Tutorials):
    • Seminars:
      • Seminar 13: The two-level system
      • Seminar 14: Application of Heisenberg equation
      • Seminar 15: The density matrix
      • Seminar 16: Dissipation
      • Seminar 17: Decay and incoherent driving
      • Seminar 18: Quantum trajectories
      • Seminar 19: Quantum jumps
      • Seminar 20: Spontaneous emission
      • Seminar 21: Quantum Monte Carlo

2019/20

  • Quantum Mechanics (4AP003, Lectures; Module leader): This module was taking place when COVID-19 broke out in Europe and we had to turned it into an online course. The recordings of the lectures are on the links below.
    • Lecture 10: Solutions to the harmonic oscillator
    • Lecture 11: Free particle
    • Lecture 12: Reciprocal space
    • Lecture 13: Uncertainty principle
    • Lecture 14: Bound state of the $\delta$-potential
    • Lecture 15: Scattering states of the $\delta$-potential
    • Lecture 16: Bound states of the finite square well potential
    • Lecture 17: The Hilbert space
    • Lecture 18: Operators in the Hilbert space
    • Lecture 19: Postulates of Quantum Mechanics
    • Lecture 20: Bosons: ladder operators and coherent states
    • Lecture 21: Fermions: the two-level system and Pauli matrices
    • Lecture 22: Rabi oscillations
  • Electromagnetism I (4AP004, Tutorials)
  • Solid State Physics (5AP002, Lectures & Tutorials; Module leader)
  • Electromagnetism II (5AP001, Tutorials)

2018/19

  • Quantum Mechanics (4AP003, Tutorials)
  • Electromagnetism I (4AP004, Lectures & Tutorials; Module leader)
  • Optics (4AP001, Tutorials)
  • Solid State Physics (5AP002, Lectures & Tutorials; Module leader)
  • Electromagnetism II (5AP001, Tutorials)
  • Thermodynamics & Statistical Physics (5AP004, Tutorials)
  • Quantum Physics (5AP005, Tutorials)
  • Mathematical Methods (5AP004, Tutorials)