SYMMETRIES in PHYSICS

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Symmetry and Groups: Historical Aspects Symmetry in Physics: A Short History Group Theory: First Concepts Symmetry: How Did It All Begin? Kepler (1611) - observes hexagonal symmetry of snow crystals Steno (1669) - observes that inclination angles of faces of the quartz crystals are the same → independent of the crystal size De Lisle (1783) - angles between crystal faces identify crystals Haüy (1784) - studies the symmetries: rotations & reflections Wollaston (1809) - first goniometer to measure crystal angles Hausmann (1821) - introduces the spherical trigonometry Hessel (1830) - shows existence of 32 polyhedral symmetries Jerzy DUDEK SYMMETRIES in PHYSICS
Symmetry and Groups: Historical Aspects Symmetry in Physics: A Short History Group Theory: First Concepts The Idea and Some Properties of Permutations Joseph-Louis Lagrange (1736-1813) J. L. Lagrange A. Lagrange studied (among many other things) algebraic equations B. He introduced the notion of permutations in relation to solutions of these equations ... C. ... however, he did not develop it further - this will come only later ... During the years 1772-1785 Lagrange created a series of memoirs about ’Differential Equations’, he developed calculus of variations; in 1788 he published his ’Mécanique analytique’ including the ’Multiplier method’ Jerzy DUDEK SYMMETRIES in PHYSICS
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Selected Groups and Symmetries Spon
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SYMMETRIES in PHYSICS

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