Normal transmission of phonons with anomalous dispersion through the interface of two continuous media

• Veröffentlicht in: Физика низких температур
• Datum: 2006
• Hauptverfasser: Adamenko, I.M., Nemchenko, K.E., Tanatarov, I.V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Schlagworte: Квантовые жидкости и квантовые кpисталл
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/120140
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Normal transmission of phonons with anomalous dispersion through the interface of two continuous media / I.M. Adamenko, K.E. Nemchenko, I.V. Tanatarov // Физика низких температур. — 2006. — Т. 32, № 3. — С. 255-268. — Бібліогр.: 22 назв. — англ.

In this work the problem is solved of normal transmission of quasiparticles through the interface
 of two continuous media, one of which is quantum fluid. The quantum fluid is described as a
 continuous medium with correlations. Within the framework of this approach the dispersion relation
 of the quantum fluid Ω(k) can be arbitrary. The integral equation describing it in a half-space
 is solved by the Wiener–Hopf method, and its general solution is obtained. This approach is applied
 to the dispersion relation of the Bose–Einstein condensate. It is shown that the solutions of
 equations of quantum fluid in a half-space are traveling waves deformed near the border by specific
 surface standing waves. By means of boundary conditions the general solution in the whole
 space is obtained. Expressions for transmission and reflection factors of waves in both directions
 are derived, depending on their frequency. The results are important for describing the creation of
 helium II phonons on the boundary with a solid, and are of interest for classical acoustics.