Single-surface basis for topological particle theory

Self-consistent phases in topological particle theory.

The Topological Particle and Morse Theory

Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a new way providing rigorous tunnelling results even in curved space, is used to give an explicit and simple expression for the matrix elements of the evolution operator for the BRST Hamiltonian. These matrix elements lea...

Single-Particle Theory of Fission

The single-particle aspects of nuclear fission theories are investigated. The liquid drop model is shown to be essentially equivalent to an independent particle model with the requirement that particles occupy the lowest orbits. The consequences of relaxing this requirement are pursued and are shown to be significant. A natural framework is provided in which the mass asymmetry of fission arises...

A Bayesian adaptive basis algorithm for single particle reconstruction.

Traditional single particle reconstruction methods use either the Fourier or the delta function basis to represent the particle density map. This paper proposes a more flexible algorithm that adaptively chooses the basis based on the data. Because the basis adapts to the data, the reconstruction resolution and signal-to-noise ratio (SNR) is improved compared to a reconstruction with a fixed bas...

Quantum Mechanics of Dirac Particle Beam Optics: Single-particle Theory

It has been found that quantum corrections can substantially affect the classical results of tracking for trajectories close to the separatrix. Hence the development of a basic formalism for obtaining the quantum maps for any particle beam optical system is called for. To this end, it is observed that several aspects of quantum maps for the beam optics of spin2 particles can be studied, at the ...