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  2. David Tong: Electromagnetism

    www.damtp.cam.ac.uk/user/tong/em.html
    16 Jan 2024: The action for relativistic particles. The Maxwell Action. The Energy Momentum Tensor and Angular Momentum. ... Freeman Dyson's interesting essay on why Maxwell's theory is so hard to understand..
  3. David Tong: Statistical Physics

    www.damtp.cam.ac.uk/user/tong/statphys.html
    17 Jan 2024: Classical Partition Functions; Ideal Gas; Equipartition; Maxwell Distribution; Diatomic Gas; Interactions; van der Waals Equation of State; Cluster Expansion; Debye-Huckel model. ... Temperature and the Zeroth Law; The First Law; The Second Law; Carnot
  4. David Tong: Cambridge Lecture Notes on Theoretical Physics

    www.damtp.cam.ac.uk/user/tong/teaching.html
    24 Mar 2024: A course on electromagnetism, starting from the Maxwell equations and describing their application to electrostatics, magnetostatics, induction, light and radiation.
  5. David Tong: General Relativity

    www.damtp.cam.ac.uk/user/tong/gr.html
    17 Jan 2024: The Maxwell action. Hodge theory. Connections and the covariant derivative, curvature and torsion, the Levi-Civita connection.
  6. David Tong: Cosmology

    www.damtp.cam.ac.uk/user/tong/cosmo.html
    17 Jan 2024: An introduction to the Boltzmann distribution and the Maxwell-Boltzmann distribution for the ideal gas.
  7. David Tong: Vector Calculus

    www.damtp.cam.ac.uk/user/tong/vc.html
    16 Jan 2024: Remarks on the Mathematical Classification of Physical Quantities James Clerk Maxwell proposing the names "Slope", "Convergence" and "Curl".
  8. David Tong: The Standard Model

    www.damtp.cam.ac.uk/user/tong/standardmodel.html
    31 May 2024: Spinors, Dirac spinors vs Weyl spinors. Gauge invariance, Maxwell theory, Lie algebras, Yang-Mills theory.
  9. Dr Robert Hunt

    www.damtp.cam.ac.uk/user/reh10/
    21 Dec 2023: University of Cambridge. Introduction. I was an undergraduate and postgraduate student at Trinity College, Cambridge (whose alumni include Newton, Byron, Bacon, Tennyson, Thackeray, Maxwell, Babbage and A.
  10. David Tong: Topics in Quantum Mechanics

    www.damtp.cam.ac.uk/user/tong/topicsinqm.html
    17 Jan 2024: Classical Mechanics. Electromagnetism. Quantum Mechanics. Condensed Matter. Fluid Mechanics. Statistical Physics. Gravitation and Cosmology. Quantum Field Theory. Particle Physics. Supersymmetry and String Theory. David Tong: Lectures on Topics in
  11. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/D20d.pdf
    26 Feb 2024: STATISTICAL PHYSICS Examples 4 Lent 2024. 1. (a) By considering dE, dF , dG and dH, obtain four different Maxwell relations forthe partial derivatives of S, p, T and V. ... VT. ). p. [Hint: You will need to use a Maxwell relation].
  12. Harvey Reall -- Research

    www.damtp.cam.ac.uk/user/hsr1000/research_new.html
    14 Aug 2023: in Einstein-Maxwell theory with positive cosmological constant.
  13. 27 Apr 2024: There are various. mathematical symmetries and structures lurking within the Maxwell equations, struc-. ... Maxwell equations. At first glance, they look just like four random equations from.
  14. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel1.pdf
    26 Jun 2024: 1.3 Gauge Invariance 22. 1.3.1 Maxwell Theory 22. 1.3.2 A Refresher on Lie Algebras 25.
  15. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: insists that they can’t exist. This is the Maxwell equation. r B = 0. ... form of the Maxwell equations in matter. r D = 0 and r H @D@t. =
  16. kintheory

    www.damtp.cam.ac.uk/user/tong/kintheory/one.pdf
    16 Sep 2023: the rest of this section, we will need the Maxwell-Boltzmann probability distribution. ... the time, were not universally believed. Indeed, Maxwell himself was surprised by the.
  17. 5. When Gravity is Weak The elegance of the ...

    www.damtp.cam.ac.uk/user/tong/gr/five.pdf
    31 May 2024: Once we impose this condition, the Maxwell equations @µFµ = j reduce to the wave. ... There is a similar counting in Maxwell theory. The polarisation of Aµ seemingly has.
  18. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    31 May 2024: As we saw in our lectureson Electromagnetism, varying this action gives the remaining two Maxwell equations. ... There is an equivalent formulation of the Maxwell equation using the covariant deriva-.
  19. D22c.dvi

    www.damtp.cam.ac.uk/user/examples/D22c.pdf
    27 Feb 2024: ed w. ithou. t per. mis. sion. 5. The Maxwell tensor Fαβ for the electromagnetic field in curved spacetime is given in terms of a vector potentialAα by Fαβ = αAβ βAα.
  20. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: As we saw in. Section 4.3.3, the 2-form F = dK obeys something very similar to the Maxwell equa-. ... tions, d? F = 0. But these are the vacuum Maxwell equations in the absence of any.
  21. 12 Jun 2024: ber. Another of the Maxwell equations reads rB = 0 and in most situations we should. ... You can check that this answer also satisfies the other Maxwell equation r B = 0.
  22. 11 Mar 2024: The convective instability of a Maxwell-Cattaneofluid in the presence of a vertical magnetic field. ... Rapidly rotating Maxwell-Cattaneo convection.Phys. Rev. Fluids,, 7, 093502, 2022. 198. M.R.E.Proctor.
  23. University of Cambridge, DAMTP: Quantum Fluids Laboratory Berloff

    www.damtp.cam.ac.uk/user/ngb23/research.html
    10 Jan 2024: All these equations can be derived asymptotically from a generic laser model given by Maxwell-Bloch equations.
  24. Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...

    www.damtp.cam.ac.uk/user/tong/qft/qft.pdf
    20 Mar 2024: Maxwell and other classical physicists find it useful to introduce the concept of matter. ... To see that. Maxwell’s equations indeed follow from (1.18), we compute.
  25. 2 Aug 2023: det(1 F), where 1 is the D Didentity matrix, Fµν = µAν νAµ is the Maxwell field-strength and we have set 2πα′ = 1.Show that this Lagrangian may also be
  26. 4. The Einstein Equations It is now time to ...

    www.damtp.cam.ac.uk/user/tong/gr/four.pdf
    31 May 2024: vacuum Maxwell equations. d? F = 0. Alternatively, as shown in (3.24), we can write this as. ... Since the 2-form F obeys the vacuum Maxwell equations, we can use it to construct.
  27. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: 388 –. Consider free Maxwell theory. Alternatively, consider U(1) gauge theory coupled to. ... To see this, let’s first look at the Maxwell action for comparison.
  28. B10c.dvi

    www.damtp.cam.ac.uk/user/examples/B10c.pdf
    4 Jan 2024: Show that Maxwell’s equations imply that νT. µν = F µνjν and that the. ... time component of this equation is the energy conservation equation for Maxwell’s theory.
  29. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: 2 –. 1. Topics in Electromagnetism. We start these lectures by reviewing some topics in Maxwell theory. ... insists that they can’t exist. This is the Maxwell equation. B = 0.
  30. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/one.pdf
    3 Jul 2024: 2.4.2 Circles in a Constant Magnetic Field 28. 2.4.3 An Aside: Maxwell’s Equations 31.
  31. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf
    26 Jun 2024: 84 –. (component of the) velocity vx. This means that we can use the Maxwell-Boltzmann. ... Note that the 4k2 term is. reminiscent of the 4v2 term that appeared in the Maxwell-Boltzmann distribution;.
  32. D21a.dvi

    www.damtp.cam.ac.uk/user/examples/D21a.pdf
    30 Oct 2023: and Jµ = (ρc, J). Vary the action with respect to φ and A directlyto obtain the sourced Maxwell equations. ... E B)i, and construct the components of the Maxwell stress tensor σij.
  33. kintheory

    www.damtp.cam.ac.uk/user/tong/kintheory/three.pdf
    16 Sep 2023: This, of course, is the Maxwell-. Boltzmann distribution. – 69 –. In fact, we can do better than this. Suppose that we start all the particles o at. ... Of course, the velocity dependence here is simply the. Maxwell-Boltzmann distribution.
  34. 12 Jun 2024: Jerrold Marsden and Anthony Tromba, “Vector Calculus”. Schey develops vector calculus hand in hand with electromagnetism, using Maxwell’s.
  35. 4. Lattice Gauge Theory Quantum field theory is hard. ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf
    26 Jun 2024: of the gauge group. We could repeat everything for Maxwell theory, in which the link. ... transition as we vary the coupling from 1 to 1 where we have the free,continuum Maxwell theory that we know and love.
  36. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel4.pdf
    26 Jun 2024: adding a Maxwell term to the action. In the quantum theory, it means that we. ... We can always add to the Yang-Mills action. (or, indeed, to the Maxwell action) a theta term that takes the form.
  37. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf
    2 Jul 2024: Just like in Maxwell theory, this field gives rise to a force between the two quarks.
  38. C10c.dvi

    www.damtp.cam.ac.uk/user/examples/C10c.pdf
    8 Nov 2023: E.P.S. Shellard. EXAMPLES III. 1. Maxwell-Boltzmann distribution A non-relativistic, quantum mechanical particle sits in a box whosesides have length a(t) L. ... A gas of non-relativistic particles at temperature T is described by the Maxwell-Boltzmann
  39. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/A5b.pdf
    9 Jan 2024: µ0E B. Use Maxwell’s equations with J = 0 to establish the conservation law U/t+P = 0.
  40. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf
    2 Jul 2024: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Topics in Quantum MechanicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.
  41. clas

    www.damtp.cam.ac.uk/user/tong/dynamics/two.pdf
    13 Sep 2023: in the Lagrangian. L =pgR 12FµF. µ ̄ /D. (2.9). where the terms carry the names of Einstein, Maxwell (or Yang and Mills) and.
  42. Preprint typeset in JHEP style - PAPER VERSION June ...

    www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf
    31 May 2024: Preprint typeset in JHEP style - PAPER VERSION June 2005. TASI Lectures on SolitonsInstantons, Monopoles, Vortices and Kinks. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,
  43. The Standard Model: Example Sheet 1 David Tong, January ...

    www.damtp.cam.ac.uk/user/tong/sm/rw1.pdf
    29 Jan 2024: 2. The theta term is an extra term that can be added to the Maxwell (or Yang-Mills) action. ... For Maxwell theory, it takes the form. Sθ =. d4x Fµν.
  44. Under consideration for publication in J. Fluid Mech. 1 ...

    www.damtp.cam.ac.uk/user/hinch/publications/BHS.pdf
    27 Dec 2023: Under consideration for publication in J. Fluid Mech. 1. Banner appropriate to article type will appear here in typeset article. Flow of an Oldroyd-B fluid in a slowly varying1contraction: theoretical results for arbitrary values2of Deborah number
  45. AN INTRODUCTION TO THE PENROSE TRANSFORM:THE COHOMOLOGICAL VIEWPOINT…

    www.damtp.cam.ac.uk/user/tjahm2/twistor_transform.pdf
    24 Aug 2023: AA′ϕAB = 0(1.1)AA. ′ϕ̃A′B′ = 0(1.2). are Maxwell’s equations without sources.There are integral formulae for solutions of these equations.
  46. 18 Mar 2024: Supersymmetric Quantum Mechanics. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK. http://www.damtp.cam.ac.uk/user/tong/susyqm.html. d.tong@damtp.cam
  47. 31 May 2024: Maxwell equations, while the motion of test particles is dictated by the Lorentz force. ... It is similar to the gauge “symmetry” of Maxwell and Yang-Mills theory which,.
  48. 23 Nov 2023: Group Theory Lecture Notes. Hugh Osborn. latest update: November 23, 2023. Based on part III lectures Symmetries and Groups, Michaelmas Term 2008, revised andextended at various times subsequently. Books. Books developing group theory by physicists
  49. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/3P4a.pdf
    29 Jan 2024: ed w. ithou. t per. mis. sion. The theta term is an extra term that can be added to the Maxwell (or Yang-Mills) action. ... For Maxwell theory, it takes the form. Sθ =. d4x FµνFµν.
  50. One-dimensional compression of a saturated elastoviscoplastic medium

    www.damtp.cam.ac.uk/user/drh39/2022_elastoviscoplastic_compression.pdf
    1 Dec 2023: More specifically, as a prescription for the stress in the solid phase,we employ a particular model formulated by Saramito [24] that adds a plastic yield stress tothe Maxwell model of
  51. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/two.pdf
    3 Jul 2024: 2.4.2 Circles in a Constant Magnetic Field 28. 2.4.3 An Aside: Maxwell’s Equations 31.

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