Rotational symmetry vs. axisymmetry in shell theory

Acoustic Scattering Fromacoated Elastic Shell: Exact vs. Approximate Theory

The interaction of acoustic waves with fluid-loaded shell structures is an ongoing area of interest in underwater acoustics, ship construction and detection. The elasticity of the structure permits strong surfaceborne wave effects, which can be significant or dominant in large structures (many wavelengths in size). The significance of surface borne waves is compounded by low loss factors, enabl...

Noether Symmetry in f(T) Theory at the anisotropic universe

As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...

Self-Energies and Rotational Symmetry

The rotational invariance is violated in the lightcone quantization method when the Fock space is truncated for practical calculations. To what extent the rotation symmetry is broken in the lightcone quantization approach can be quantified by calculating the explicit rotation dependence of the two-body scattering phase shifts. We analyze the scattering phase shifts in a simple scalar field mode...

Mixed Spectra and Rotational Symmetry

Rotational Symmetry Breaking in Multi-Matrix Models

We consider a class of multi-matrix models with an action which is O(D)-invariant, where D is the number of N × N Hermitian matrices Xμ, μ = 1, . . . , D. The action is a function of all the elementary symmetric functions of the matrix Tμν = Tr(XμXν)/N . We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in ...