Stephen A. Fulling

Publication List Details

Period

1972 - 2009

Number

18

Co-Authors

How to Avoid the Inverse Secant (and Even the Secant Itself) (2009)

S. A. Fulling, Stephen A. Fulling, Is Professor

a book on quantum field theory in curved space-time and a textbook on linear algebra with emphasis on applications to vector calculus and differential equations. He has done research in various areas...

Vacuum Stress-Energy Density and Its Gravitational Implications (2009)

Ricardo Estrada, Stephen A Fulling, Zhonghai Liu, Kimball A Milton

Abstract. In nongravitational physics the local density of energy is often regarded as merely a bookkeeping device; only total energy has an experimental meaning — and it only modulo a constant...

Grover's Algorithm for Multiobject Search in Quantum Computing (2009)

Goong Chen, Stephen A. Fulling, Marlan O. Scully

Abstract L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedupin the search for a single object in a large unsorted database. In this paper, we expound...

TEX and the Web in the Higher Education of the Future: Dreams and Difficulties (2009)

Stephen A. Fulling

New technology provides an opportunity to move mathematical and technical education out of the lecture-homework-test mold into modes that do more to develop students ’ communication skills,...

Functions and Distributions in Spaces with Thick Points (2008)

Ricardo Estrada, Stephen A. Fulling

Euler’s vision of a generalized concept of function was a forerunner of the modern concept of distribution, and his efforts to give meaning to divergent series eventually led to the concepts of...

T E X and the Web in the Higher Education of the Future: Dreams and Diculties (2007)

Stephen Fulling Mathematics, James Boone, Stephen A. Fulling

New technology provides an opportunity to move mathematical and technical education out of the lecture-homework-test mold into modes that do more to develop students' communication skills,...

Grover's Algorithm for Multiobject Search in Quantum Computing (2007)

Goong Chen, Stephen A. Fulling, Marlan O. Scully

L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedup in the search for a single object in a large unsorted database. In this paper, we expound Grover's...

Gravitational and Inertial Mass of Casimir Energy (2007)

Milton, Kimball A, Fulling, Stephen A, Parashar, Prachi, Romeo, August, Shajesh, K V, Wagner, Jeffrey A

It has been demonstrated, using variational methods, that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly...

Vacuum Energy as Spectral Geometry (2007)

Fulling, Stephen A.

Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths...

How Does Casimir Energy Fall? (2007)

Fulling, Stephen A., Milton, Kimball A., Parashar, Prachi, Romeo, August, Shajesh, K. V., Wagner, Jef

Doubt continues to linger over the reality of quantum vacuum energy. There is some question whether fluctuating fields gravitate at all, or do so anomalously. Here we show that for the simple case of...

Vacuum Energy as Spectral Geometry (2007)

Stephen A. Fulling

Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths...

Local Spectral Density and Vacuum Energy near a Quantum Graph Vertex (2005)

Fulling, Stephen A.

The delta interaction at a vertex generalizes the Robin (generalized Neumann) boundary condition on an interval. Study of a single vertex with N infinite leads suffices to determine the localized...

Statistics of dressed modes in a thermal state (2002)

Englert, Berthold-Georg, Fulling, Stephen A., Pilloff, Mark D.

By a Wigner-function calculation, we evaluate the trace of a certain Gaussian operator arising in the theory of a boson system subject to both finite temperature and (weak) interaction. Thereby we...

Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time (2000)

Chen, Goong, Fulling, Stephen A., Chen, Jeesen

L. K. Grover's search algorithm in quantum computing gives an optimal, quadratic speedup in the search for a single object in a large unsorted database. In this paper, we generalize Grover's...

Cataloguing General Graphs by Point and Line Spectra (1998)

Stephen A. Fulling, Itshak Borosh, Andrea Da Conturbia

Certain perturbative expansions in physics are sums over all multigraphs with loops --- i.e., graphlike structures in which each point can be connected to any other point, including itself, by an...