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By Louis De Broglie

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Extra resources for An introduction to the study of wave mechanics

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1 /2-graded modules and algebras . . . . 2 Cyclic cohomology for /2-graded algebras . Berezin Integration and Graded Cyclic Cohomology * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49. 5 Spectral Triples . . . . . . . . Spectral Triples and Universal Differential Dixmier Trace . . . . . . . . Wodzicki Residue . . . . . . . Real Structures . . . . . . . . 1 Classification of Clifford algebras 1227 1228 1231 1236 1245 1251 48.

1 Modules . . . . . . . . . . . 2 Algebras . . . . . . . . . . . Noncommutative Differential Geometry . . . . 1 Universal differential graded algebras . . . 2 Universal connexions . . . . . . . 3 Hermitian connexions . . . . . . . 4 Gauge transformations . . . . . . . Cyclic Cohomology . . . . . . . . . . 1 Elements of homological algebra . . . . 2 Noncommutative integral calculus . . . . Graded Cyclic Cohomology . .

3 Real structure in arbitrary dimension . 4 Spectral triples with a real structure . 6 Order One and Orientation . . . . . . 7 Regularity and Finiteness . . . . . . 8 Axiomatic Foundation . . . . . . . 9 Internal Symmetries . . . . . . . . 10 Appendix: Review of C ∗ -Algebra Basics . . 1 Banach spaces . . . . . . . 2 Continuous linear operators . . . 3 Banach algebras . . . .

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An introduction to the study of wave mechanics by Louis De Broglie


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