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Phys. Rev. Lett. 64, 1193–1195 (1990)

Modified Möbius inverse formula and its applications in physics

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Nan-xian Chen
International Centre for Theoretical Physics, Trieste, Italy

See Also: Erratum

Received 11 September 1989; published in the issue dated 12 March 1990

A new theorem of inverse formula is introduced for a kind of infinite series. Thus some new results for important inverse problems in physics are presented in this paper. These are the inverse problems for obtaining the phonon density of states, the inverse blackbody radiation problem for remote sensing, and the solution for inverse Ewald summation. Of more importance, it shows the possibility of the application of number theory to physical problems.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.64.1193
DOI:
10.1103/PhysRevLett.64.1193
PACS:
02.30.+g

See Also

Comment: Andrzej J. Pindor, Comment on ‘‘Modified Möbius inverse formula and its applications in physics’’, Phys. Rev. Lett. 66, 957 (1991).

Erratum: Nan-xian Chen, Modified Möbius Inverse Formula and Its Applications in Physics, Phys. Rev. Lett. 64, 3203 (1990).