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1 The Fundamentals of Statistical Mechanics‣ Statistical Physics by…
www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S1.html18 Oct 2021: ρ. =. e. -. β. H. Z. (1.24). If we make a measurement described by an operator. ... In the quantum context, it is sometimes written in terms of the density matrix (1.24) as. -
5 Quantizing the Dirac Field‣ Quantum Field Theory by David Tong
www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S5.html18 Oct 2021: v. r. (. p. ). Figure 23: An incoming anti-fermion. Figure 24: An outgoing anti-fermion. •. -
2 A Quantum Particle in One Dimension‣ Quantum Mechanics by David Tong
www.damtp.cam.ac.uk/user/tong/qm/qmhtml/S2.html18 Oct 2021: and. -. 𝑑. x. x. e. -. a. x. 2. =. 0. (2.24). where the second equality follows because the integrand is odd (and suitably well behaved at infinity). ... σ. ). exp. (. -. x. 2. σ. |. α. |. 2. ). =. k. 0. where, to get the final equality, we did the -
5 When Gravity is Weak‣ General Relativity by David Tong
www.damtp.cam.ac.uk/user/tong/gr/grhtml/S5.html16 Oct 2021: 5 When Gravity is Weak. 5 When Gravity is Weak. The elegance of the Einstein field equations ensures that they hold a special place in the hearts of many physicists. However, any fondness you may feel for these equations will be severely tested if -
2 Classical Gases‣ Statistical Physics by David Tong
www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S2.html18 Oct 2021: 2 Classical Gases. 2 Classical Gases. Our goal in this section is to use the techniques of statistical mechanics to describe the dynamics of the simplest system: a gas. This means a bunch of particles, flying around in a box. Although much of the -
3 Quantum Gases‣ Statistical Physics by David Tong
www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S3.html18 Oct 2021: 3 Quantum Gases. 3 Quantum Gases. In this section we will discuss situations where quantum effects are important. We’ll still restrict attention to gases — meaning a bunch of particles moving around and barely interacting — but one of the -
3 The Renormalisation Group‣ Statistical Field Theory by David Tong
www.damtp.cam.ac.uk/user/tong/sft/sfthtml/S3.html16 Oct 2021: ζ. Δ. ϕ. ϕ. (. 𝐱. ). Figure 24: RG flows when. -
4 Classical Thermodynamics‣ Statistical Physics by David Tong
www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S4.html18 Oct 2021: Figure 24:. Expressing the work as. -. d. W. =. -. p. d. V. also allows us to underline the meaning of the new symbol. -. -
Front-back asymmetry controls the impact of viscoelasticity on…
www.damtp.cam.ac.uk/user/lauga/papers/191.pdf8 Jul 2021: While recent numerical work reported that the elasticstresses in the wake of rigid cylinders depend on the orientation of the cylinder relative to its velocity[24], the dependence of the drag ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[19] J. A -
Oldroyd B, and not A?
www.damtp.cam.ac.uk/user/hinch/talks/OldroydTalk4.pdf9 Sep 2021: 24. Popularity of Oldroyd-B. Enduring use of Oldroyd-B:. I Only 3 parameters to fit data,.
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