For a Hertz chain model, by using the methodology of dynamical systems and singular traveling wave theory developed Li Chen [9] to its system defined on two-dimensional foliations in three-dimensional space, under different parameter conditions, existence all possible bounded solutions (solitary solutions, periodic peakons, compactons) is proved. nonlinearity exponent $ k = \frac32, 2 3 as many...

Laboratory exercises that illustrate quantum phenomena provide students with motivation for the study of quantum mechanics. That microscopic matter exists in quantized states can be demonstrated with modem versions of historic experiments: atomic line spectra (I), resonance potentials, and blackbody radiation. The resonance potentials of mercury were discovered by Franck and Hertz in 1914 (2). ...

Quarter space problems have many useful applications wherever an edge is involved, and solution to the related contact problem requires extension to the classical Hertz theory. However, theoretical exploration of such a problem is limited, due to the complexity of the involved boundary conditions. The present study proposes a novel numerical approach to compute the elastic field of two quarter ...

Recent work has used a U(1) gauge theory to describe the physics of Fermi pockets in the presence of fluctuating spin density wave order. We generalize this theory to an arbitrary band structure and ordering wavevector. The transition to the large Fermi surface state, without pockets induced by local spin density wave order, is described by embedding the U(1) gauge theory in a SU(2) gauge theor...