Quantized excitations of internal affine modes and their influence on Raman spectra

Abstract

Discussed is the structure of classical and quantum excitations of internal degrees of freedom of multiparticle objects like molecules, fullerens, atomic nuclei, etc. Basing on some invariance properties under the action of isometric and affine transformations we reviewed some new models of the mutual interaction between rotational and deformative degrees of freedom. Our methodology and some results may be useful in the theory of Raman scattering and nuclear radiation.

51 pages, 6 figures

References in corpus (2)

• Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models
• Affine symmetry in mechanics of collective and internal modes. Part I. Classical models

Cited by in corpus (6)

• Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras
• Mechanics of Systems of Affine Bodies. Geometric Foundations and Applications in Dynamics of Structured Media
• Constraints and symmetry in mechanics of affine motion
• Quasiclassical and Quantum Systems of Angular Momentum. Part I. Group Algebras as a Framework for Quantum-Mechanical Models with Symmetries
• Quasiclassical and Quantum Systems of Angular Momentum. Part III. Group Algebra of $\mathrm{SU}(2)$, Quantum Angular Momentum and Quasiclassical Asymptotics
• Quantized Mechanics of Affinely-Rigid Bodies