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BEHAVIOR OF SOUND WAVES IN SHEPHERD FLUTE ON THE BASIS OF QUANTUM THEORY OF INDIVIDUAL PHONONS

SONJA KRSTIĆ

Advanced School of Electrical Engineering, University of Belgrade, Vojvoda Stepa 283, Belgrade, 11000, Serbia

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VJEKOSLAV SAJFERT

Technical Faculty "M. Pupin", University of Novi Sad, Djure Djakovića bb, Zrenjanin, 23000, Serbia

Corresponding author.

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, and

BRATISLAV TOŠIĆ

Vojvodina Academy of Sciences and Arts, Dunavska 37, Novi Sad, 21000, Serbia

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https://doi.org/10.1142/S0217979210055846Cited by:0 (Source: Crossref)

Abstract

Using the linearized Hamiltonian of individual phonon, it was shown that Schrödinger's equation of individual phonon is by form identical with classical hyperbolic equation. It was also shown that damper in shepherd's flute is reflexive for high frequencies and transparent for low ones. This result was experimentally tested by authors and good agreement of theory and experiment was found. The propagation of sound in parallelopipedal and cylindrical shepherd's flute was investigated. It turned out that parallelopipedal sound propagates in z-direction, only, while in cylindrical one besides plane waves in z-direction the damped waves in x, y plane appear.

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