6 citations · 14 across the 7 of their papers we have counts for
12 papers
A Euclidean Signature Semi-Classical Program
Antonella Marini, Rachel Maitra, Vincent Moncrief
In this article we discuss our ongoing program to extend the scope of certain, well-developed microlocal methods for the asymptotic solution of Schrödinger's equation (for suitable…
Orbit Space Curvature as a Source of Mass in Quantum Gauge Theory
Vincent Moncrief, Antonella Marini, Rachel Maitra
It has long been realized that the natural orbit space for non-abelian Yang-Mills dynamics is a positively curved (infinite dimensional) Riemannian manifold. Expanding on this resu…
Euclidean signature semi-classical methods for bosonic field theories: interacting scalar fields
Antonella Marini, Rachel Maitra, Vincent Moncrief
Elegant 'microlocal' methods have long since been extensively developed for the analysis of conventional Schroedinger eigenvalue problems. For technical reasons though these method…
Strong solutions to a class of boundary value problems on a mixed Riemannian-Lorentzian metric
Antonella Marini, Thomas H. Otway
A first-order elliptic-hyperbolic system in extended projective space is shown to possess strong solutions to a natural class of Guderley-Morawetz-Keldysh problems on a typical dom…
Duality methods for a class of quasilinear systems
Antonella Marini, Thomas H. Otway
Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge-Bäcklund tr…
Constructing completely integrable fields by a generalized-streamlines method
Antonella Marini, Thomas H. Otway
The classical approach to visualizing a flow, in terms of its streamlines, motivates a topological/soft-analytic argument for constrained variational equations. In its full general…
Modified Semi-Classical Methods for Nonlinear Quantum Oscillations Problems
Vincent Moncrief, Antonella Marini, Rachel Maitra
We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilt…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part III
Takeshi Isobe, Antonella Marini
In this paper, the third of its series, we prove that the sobolev spaces of L^p_k approximate solutions to the Dirichlet problem for the epsilon-Yang Mills equations on a four dime…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang-Mills connections in 4 dimensions - Part II
Takeshi Isobe, Antonella Marini
In this paper we complete the proof of the existence of multiple solutions (and, in particular, non minimal ones), to the epsilon-Dirichlet problem obtained as a variational proble…
Small coupling limit and multiple solutions to the Dirichlet Problem for Yang Mills connections in 4 dimensions - Part I
Takeshi Isobe, Antonella Marini
In this paper (Part I) and its sequels (Part II and Part III), we analyze the structure of the space of solutions to the epsilon-Dirichlet problem for the Yang-Mills equations on t…
Hodge-Frobenius equations and the Hodge-Backlund transformation
Antonella Marini, Thomas H. Otway
Linear and nonlinear Hodge-like systems for 1-forms are studied, with an assumption equivalent to complete integrability substituted for the requirement of closure under exterior d…
Spherically symmetric solutions of a boundary value problem for monopoles
Antonella Marini, Lorenzo Sadun
In this paper we study spherically symmetric monopoles, which are critical points for the Yang-Mills-Higgs functional over a disk in 3 dimensions, with prescribed degree and covari…