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abstractness    
n. 抽象性

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  • symmetry - Who used the concept of symmetries first? - Physics Stack . . .
    $\begingroup$ As European civilizations concerns and historical documents, symmetry was first formulated and incorporated in geometry by the Ancient Greeks and applied mainly at that time in architecture The very name of "symmetry" is Greek identifying the historically documented origin of the concept $\endgroup$ –
  • classical mechanics - A question regarding Noethers theorem. Does . . .
    While when we apply an extra force, or say, an extra potential, for example $-\alpha r$ in the hydrogen atom, this does break the origin symmetry The origin symmetry of an electron is $\mathrm{SO}(3)$, which means 3-dimensional rotational invariance After applying Coulomb interaction, the symmetry becomes $\mathrm{SO}(4) = \mathrm{SO}(3
  • Origin of the major symmetry property of the elasticity tensor
    The part of the elasticity tensor without the major symmetry doesn't contribute to the strain energy density So a random tensor needs the first minor symmetry to be physical But you might as well assume it has the second minor symmetry since it doesn't affect the stress-strain relationship
  • Microscopic origin of U (1) symmetry breaking in condensed matter
    The other ways to express the presence of a phase with broken symmetry are indeed equivalent (I think): ODLRO or $\lim_{h \rightarrow 0} \lim_{N \rightarrow \infty} \langle s_I \rangle \neq 0$ Of course if the ground state are really a degenerate manifold then one can choose a ground state which hasn't the symmetries of the Hamiltonian, but
  • How does spontaneous symmetry breaking (SSB) happen?
    S Coleman and E Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys Rev D 7, 1888 (1973) EDIT: In fact "why the initial state is at the tip of the Mexican hat" can be answered this way in my opinion: I'd say perhaps the question can be answered from a more diplomatic point of view
  • Radiative corrections as v. e. v source for spontaneous symmetry breaking
    "Radiative Corrections as the origin of Spontaneous symmetry breaking", Phys Rev D, 7 (1973)
  • Understanding Gauss Law with Spherical Symmetry
    For a problem with spherical symmetry, for each point of interest we can pick an infinite number of planes with mirror symmetry that pass through the radial direction, i e through the line connecting the point and the origin This means that the field points in the radial direction, although we need just two planes to do it
  • Origin of the form of symmetry operation - Physics Stack Exchange
    Origin of the form of symmetry operation Ask Question Asked 4 years, 7 months ago Modified 4 years, 5
  • representation theory - Parity symmetry complete detailed definition . . .
    Symmetry as a concept is different in mathematics and in physics There are also many other concepts which differ in their use in physics and mathematics i e : symmetry group, discrete continuous group, continuous and discrete symmetry etc I am trying to consider the following concepts and phrases for the definition: Parity symmetry
  • $E$-field on half charged sphere (only north hemisphere)
    Find the electric field at the origin (Use symmetry to argue that it is enough to calculate $ˆz \cdot E$ , and then compute this by integrating over the hemisphere ) Using Gauss' Law, $\text{electric flux} = \frac{\text{total charge}}{E_{0}} = E - \text{field} \int dA$ the left side is $\sigma 3 \pi \frac{r^{2}}{E_{0}}$ if I'm correct





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