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14 Jan 2021: A star contains an axisymmetric and purely toroidal magnetic field B = B(r, z) eφ, where(r, φ, z) are cylindrical polar coordinates. ... B = B(r, z) eφ ,. where (r, φ, z) are cylindrical polar coordinates and B(r, z) is a positive function

18 Oct 2021: Proof: Let’s show that the. [. b. ,. b. †. ]. and. [. c. ,. c. †. ]. commutators reproduce the field commutators (5.441),. [. ... A. ,. B. }. A. B. B. A. Rather than (5.441), we will ask that the spinor fields satisfy. {.

16 Oct 2021: ϕ. B. |. T. t. -. γ. Once again, the scaling dimensions are enough to fix. ... It may be more natural to tune. B. =. 0. in some systems that others.

18 Oct 2021: a. (. t. B. B. ). =. 0. This point is colloquially referred to as the Big Bang. ... t. B. B. , means that there is a limit as to how far we can peer into the past.

18 Oct 2021: V. =. 7. 2. N. k. B. — only agrees with experiment at very high temperatures. ... In contrast, for. T. 2. /. 2. I. k. B. all states apart from.

18 Oct 2021: A. and. B. then the order matters. Typically. A. B. is not the same as. ... Clearly. [. A. ,. B. ]. =. -. [. B. ,. A. ]. and the same also holds for operators:. [. O. ,.

16 Oct 2021: B. that we impose on the system. It has the effect that, for. ... B. >. 0. ,. m. 1. at low temperatures where the spins are ordered, and.

18 Oct 2021: B. =. 0. and. B. t. =. -. E. (6.499). These remain true even in the presence of electric sources. ... B. B. -. A. 0. (. E. ). So. A. 0.

16 Oct 2021: a. ,. b. ). , with. a. <. b. 𝐑. ,

12 Jun 2021: where the last equality occurs because ẋ B is necessarily perpendicular to ẋ. ... m2ẍ = d q2(x B) B. = d q2 ((x B)B (B B)x). =