Troy A. Schilling

Publications
Influence

Geometrical Formulation of Quantum Mechanics

A. Ashtekar, Troy A. Schilling
Physics
23 June 1997

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a Uhler manifold. This leads to a geometrical formulation… Expand

Geometry of quantum mechanics

A. Ashtekar, Troy A. Schilling
Mathematics
12 May 2008

Quantum mechanics is formulated on the true space of physical states—the projective Hilbert space. It is found that the postulates of quantum mechanics assume an intrinsically geometric form. In… Expand

Bibliography of Publications related to Classical and Quantum Gravity in terms of the Ashtekar Variables

Troy A. Schilling
Physics
14 September 1994

This bibliography attempts to give a comprehensive overview of all the literature related to the Ashtekar variables. The original version was compiled by Peter H\"ubner in 1989, and it has been… Expand

Modeling issues in the computation of plume radiation signatures

M. Wright, R. M. Rao, G. Candler, J. Hong, Troy A. Schilling, D. Levin
Geology
1998

Multi-spectral radiation images have been obtained of Atlas rocket plumes under flight conditions. These spatially resolved data have been used to validate computational methods and models for plume… Expand

Non‐covariance of the generalized holonomies: Examples

Troy A. Schilling
Mathematics, Physics
31 March 1995

A key aspect of a recent proposal for a generalized loop representation of quantum Yang–Mills theory and gravity is considered. Such a representation of the quantum theory has been expected to arise… Expand

Geometrical Formulation of Quantum

MechanicsAbhay Ashtekar, Troy A. Schilling
1997

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a KK ahler manifold. This leads to a geometrical… Expand

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