A quantum description of the surface waves in an isotropic elastic body without the use of the semiclassical quantization is proposed. The problem about the surface waves is formulated in the Lagrangian and Hamiltonian representations. Within the framework of the generalized Debye model, the contribution of the surface phonons (“rayleighons”) to thermodynamic functions is calculated. It is emphasized that the role of the surface phonons can be significant and even decisive in low-dimensional systems, granular and porous media, and that their contribution to the total heat capacity increases with decreasing temperature.

中文翻译：

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表面声子的德拜模型

提出了一种不使用半经典量子化的各向同性弹性体中表面波的量子描述。关于表面波的问题用拉格朗日和哈密顿表示来表示。在广义德拜模型的框架内，计算了表面声子（“ Rayleighons”）对热力学函数的贡献。需要强调的是，表面声子的作用在低维系统、颗粒和多孔介质中可能是重要的甚至是决定性的，并且它们对总热容的贡献随着温度的降低而增加。