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18 Oct 2021: This word refers to the fact that certain quantities, which are always continuous variables in the classical world, can only take certain discrete values in this new framework. ... This also gives us a new perspective on our original attempt at writing

18 Oct 2021: V. fixed when we differentiate. But now there is a new, natural quantity that we can consider — the differentiation with respect to. ... 1.3.1 The Partition Function. Since we will be using various quantities a lot, it is standard practice to introduce

7 Apr 2021: To leading order in perturbation theory, the new energy eigenstates will be some linear. ... choice of and will diagonalise the new Hamiltonian. There will be two such choices.

18 Oct 2021: Figure 24:. Expressing the work as. -. d. W. =. -. p. d. V. also allows us to underline the meaning of the new symbol. -. ... Q. T. Given some reference state. O. , this allows us to define a new function of state.

8 Jul 2021: These gauge theories have been studied at length in physicsand so this representation introduces many new ideas and techniques. ... Thedimension of the new configuration space is the number of deformation modes, l, plusthe number of position and

8 Jul 2021: PHYSICAL REVIEW E 103, 042419 (2021)Editors’ Suggestion. Energetics of synchronization for model flagella and cilia. Weida Liao and Eric Lauga. Department of Applied Mathematics and Theoretical Physics, University of Cambridge,Wilberforce Road,

16 Apr 2021: Symmetries make. a physicist’s life easier by generating new solutions from old ones. ... Often the new physics is sufficiently far away from the regime of our experiments that we.

8 Jul 2021: 2016). Here, motivated by prior experimental work and in light of new results we considera range of issues surrounding the fluid dynamical description of mills, with particularattention to the fluid velocity

16 Oct 2021: vanishes in the new coordinates. We’re then left with the simpler looking metric,. ... U. =. tan. U. and. V. =. tan. V. The new coordinates have finite range.

20 Apr 2021: explanation. After quantization, they give riseto new particle states in the underlying quantum field theory that are not seen inperturbation theory. ... It turns out solitons also behave like particles, and they area new type of particles.