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Möbius inversion on a multiplicative semigroup and inverse lattice problems in physics (1998)

Zhaodou, Chen ; Yanan, Shen ; Shaojun, Liu

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 21 (1998), S. 269-279

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ISSN: 0170-4214

Keywords: Engineering ; Numerical Methods and Modeling

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: The generalized Möbius function and Möbius inversion formula are applied to a multiplicative semigroup. A general mathematical method based on this Möbius inversion is presented to solve inversion problems of expansions with unequally weighted terms. By this method, all the inverse lattice problems in physics can be solved concisely. The solutions of four inverse lattice problems: the Fibonacci structure, the square lattice structure, the bcc and the hcp lattice structures are given. These are difficult to be solved by other methods. © 1998 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Additional Material: 4 Tab.

Type of Medium: Electronic Resource

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