The virial theorem and the factorized wavefunction approach to perturbation theory. Application to the spherical Stark and spherical quadratic Zeeman problems in hydrogen

Representations of elastic fields of cir

Representations of elastic fields of circular dislocation and disclination loops in terms of spherical harmonics and their application to various problems of the theory of defects

✍ Anna L. Kolesnikova; Alexey E. Romanov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 492 KB

Elastic fields of circular dislocation and disclination loops are represented in explicit form in terms of spherical harmonics, i.e. via series with Legendre and associated Legendre polynomials. Representations are obtained by expanding Lipschitz-Hankel integrals with two Bessel functions into Legen