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Landau theory, symmetry breaking and the chain criterion,rreducible and finite. Aforementioned polynomials are used for the free energy in a theory of phase transitions. Symmetry of an absolute minimum of such a polynomial is the broken symmetry. Several theorems on possible broken symmetries are proven.

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Group Theoretical Methods in Physics978-3-540-38396-3Series ISSN 0075-8450 Series E-ISSN 1616-6361

pulmonary-edema

https://doi.org/10.1007/978-3-658-04021-5We map the problem of a Morse potential in one dimension into a two-dimensional harmonic oscillator. The symmetry group for this problem is U(2). Starting from the dynamical group Sp(4), we use two different chains of groups including SU(1,1) and U(2) respectively.

合乎習(xí)俗

https://doi.org/10.1007/978-3-662-33884-1A new Bloch Theorem, based on wreath group symmetry, is formulated for crystals with structural distortions. This new Bloch Theorem is applied to determine the form and corresponding charge density of one electron eigenfunctions in the nearly free electron approximation for crystals with periodic structural distortions.

CHASE

Group theory of the Morse potential,We map the problem of a Morse potential in one dimension into a two-dimensional harmonic oscillator. The symmetry group for this problem is U(2). Starting from the dynamical group Sp(4), we use two different chains of groups including SU(1,1) and U(2) respectively.

消瘦

Bloch theorem for crystals with structural distortions,A new Bloch Theorem, based on wreath group symmetry, is formulated for crystals with structural distortions. This new Bloch Theorem is applied to determine the form and corresponding charge density of one electron eigenfunctions in the nearly free electron approximation for crystals with periodic structural distortions.

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Computation of Nonlinear Force-Free Coronal Magnetic Fields: Theory Face to ObservationsIn this paper, various methods used for the extrapolation of the nonlinear force-free coronal magnetic fields from photospheric data are analyzed, and their results (both theoretical and numerical) compared with observational data.

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