'Rotons' in quantum hydrodynamics
- 22 August 1955
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 231 (1185) , 226-243
- https://doi.org/10.1098/rspa.1955.0168
Abstract
The quantum-mechanical Hamiltonian obtained by Ziman and by Thellung for an ideal liquid is diagonalized in the approximation of small compressibility. On taking account of the interaction terms between 'phonon' and 'roton' variables, the roton rest energy is found to be proportional to the inverse of the sound velocity and to the ninth power of the wave number cut-off.Keywords
This publication has 3 references indexed in Scilit:
- Atomic Theory of the Two-Fluid Model of Liquid HeliumPhysical Review B, 1954
- Atomic Theory of Liquid Helium Near Absolute ZeroPhysical Review B, 1953
- VI. On a spherical vortexPhilosophical Transactions of the Royal Society of London. (A.), 1894