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- W2031974966 abstract "A crystal lattice with a free surface may have localized modes of vibrationat the surface (surface waves). In a consistent theory in the limit of long waves these modes have to agree with the elastic surface modes (Rayleigh waves). It is shown, that it is necessary for this agreement to satisfy the condition of rotational invariance. Ein Kristallgitter mit einer frein Oberfläche kann an dieser Oberfläche lokalisierte Schwingungszustände besitzen (Oberflächenwellen). In einer konsistenten Theorie müssen diese Zustände im Grenzfall langer Wellen mit den elastischen Oberflächenzuständen (Rayleigh-Wellen) übereinstimmen. Es wird gezeigt, daβ es für diese Uebereinstimmung notweendig ist, die Rotationsbedingung zu erfüllen. Die Rotationsbedingung folgt daraus, daβ sich bei einer infinitesimalen Drehung des Kristalls seine potentielle Energie nicht ändern darf, wenn keine äuβeren Kräfte wirksam sind." @default.
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- W2031974966 date "1964-03-01" @default.
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- W2031974966 title "Surface waves and rotational invariance in lattice theory" @default.
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- W2031974966 doi "https://doi.org/10.1016/0038-1098(64)90045-6" @default.
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