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The vibrations of an infinite linear lattice consisting of two types of particles

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Summary

The solutions for the displacements of an infinite linear lattice consisting of two types of particles under some initial disturbance have been obtained and their asymptotic nature has been investigated by the method of “steepest descents” which shows that the displacements are asymptotically time dependent superposition of the normal vibrations according to Raman.

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References

  1. LagrangeMecanique Analytique, Tome,1, p. 408.

  2. HamiltonWorks,2, p. 452.

  3. HavelockThe Propagation of Disturbances in Dispersive Media, 1914, p. 6.

  4. Jeffreys and JeffreysMethods of Mathematical Physics, p. 472.

  5. Jeffreys and JeffreysIbid., Methods of Mathematical Physics, p. 567.

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Authors and Affiliations

  1. Department of Mathematics, Science College, Patna

    N. S. Nagendra Nath & Sanat Kumar Roy

Authors
  1. N. S. Nagendra Nath
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  2. Sanat Kumar Roy
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Nagendra Nath, N.S., Kumar Roy, S. The vibrations of an infinite linear lattice consisting of two types of particles. Proc. Indian Acad. Sci. (Math. Sci.) 28, 289 (1948). https://doi.org/10.1007/BF03170790

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  • DOI: https://doi.org/10.1007/BF03170790

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