The theory of the semiclassical evolution of wave packets is developed as a version of WKB theory in phase space. Special attention is given to the transformation properties of wave packets, theirâ€¦ (More)

A new uniform asymptotic approximation for the Wigner 6j-symbol is given in terms of Wigner rotation matrices (d-matrices). The approximation is uniform in the sense that it applies for all values ofâ€¦ (More)

HyperkÃ¤hler Analogues of KÃ¤hler Quotients by Nicholas James Proudfoot Doctor of Philosophy in Mathematics University of California, Berkeley Professor Allen Knutson, Chair Let X be a KÃ¤hler manifoldâ€¦ (More)

Phase integral or WKB theory is applied to multicomponent wave equations, i.e., wave equations in which the wave field is a vector, spinor, or tensor of some kind. Specific examples of physicalâ€¦ (More)

This thesis describes a new approach to conformal field theory. This approach combines the method of coadjoint orbits with the algebraic structures of resolutions and chiral vertex operators to giveâ€¦ (More)

The internal space for a molecule, atom, or other n-body system can be conveniently parameterised by 3n âˆ’ 9 kinematic angles and three kinematic invariants. For a fixed set of kinematic invariants,â€¦ (More)

The Zeeman effect concerns the interaction of atomic systems with external magnetic fields. A basic understanding of the Zeeman effect is needed for many aspects of modern research in atomic physics.â€¦ (More)

This article presents and discusses in detail the results of extensive exact calculations of the most basic ingredients of spin networks, the Racah coefficients ( or Wigner 6j symbols), exhibitingâ€¦ (More)

To quantize a classical system means that we pass from a classical description of the system to the quantum description. The classical description involves a classical Lagrangian or Hamiltonian, andâ€¦ (More)