HR job title
- Retired Professor
- Contact Info
- 1 979 220 9606
Fulling, Stephen Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academicarticle
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Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2022).
Vacuum energy density and pressure inside a soft wall. International Journal of Modern Physics A.
37(19), 2241007.
-
Cozzella, G., Fulling, S. A., Landulfo, A., & Matsas, G.
(2020).
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors. 102(10), 105016.
-
Fulling, S. A., Landulfo, A., & Matsas, G.
(2020).
The relation between quantum and classical field theory with a classical source. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
476(2243), 20200656-20200656.
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Wilson, J. H., Sorge, F., & Fulling, S. A.
(2020).
Tidal and nonequilibrium Casimir effects in free fall. Physical Review D.
101(6), 065007.
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Ben-Benjamin, J. S., Scully, M. O., Fulling, S. A., Lee, D. M., Page, D. N., Svidzinsky, A. A., ... Unruh, W. G.
(2019).
Unruh acceleration radiation revisited. International Journal of Modern Physics A.
34(28), 1941005-1941005.
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Landulfo, A., Fulling, S. A., & Matsas, G.
(2019).
Classical and quantum aspects of the radiation emitted by a uniformly accelerated charge: Larmor-Unruh reconciliation and zero-frequency Rindler modes. Physical Review D.
100(4), 045020.
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Fulling, S. A., Settlemyre, T. E., & Milton, K. A.
(2018).
Renormalization for a Scalar Field in an External Scalar Potential. 10(3), 54-54.
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Bouas, J. D., Fulling, S. A., Mera, F. D., Thapa, K., Trendafilova, C. S., & Wagner, J.
(2012).
Investigating the Spectral Geometry of a Soft Wall. Proceedings of Symposia in Pure Mathematics.
84, 139-154.
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FULLING, S. A., MILTON, K. A., & WAGNER, J.
(2012).
ENERGY DENSITY AND PRESSURE IN POWER-WALL MODELS. International Journal of Modern Physics: Conference Series.
14, 115-126.
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Fulling, S. A.
(2009).
The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
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Fulling, S. A., & Kirsten, K.
(2009).
Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]. Physics Letters B.
671(1), 179-180.
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Estrada, R., & Fulling, S. A.
(2007).
Functions and distributions in spaces with thick points. International Journal of Applied Mathematics and Statistics.
10(SO7), 25-37.
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Estrada, R., & Fulling, S. A.
(2007).
Functions and Distributions in Spaces with Thick Points. International Journal of Applied Mathematics and Statistics.
10(S07), 25-37.
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Fulling, S. A.
(2007).
Linearity, Symmetry, and Prediction in the Hydrogen Atom by Stephanie Frank Singer. 114, 650-653.
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Fulling, S. A.
(2006).
Local spectral density and vacuum energy near a quantum graph vertex. Contemporary Mathematics.
415, 161-172.
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Fulling, S. A.
(2006).
The Global Approach to Quantum Field Theory. CLASSICAL AND QUANTUM GRAVITY.
23(10), 3655-3657.
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Fulling, S. A.
(2006).
Book Review: Asymptotic formulae in spectral geometry. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
43(03), 423-428.
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Fulling, S. A.
(2005).
How to Avoid the Inverse Secant (and Even the Secant Itself). College Mathematics Journal.
36(5), 381-387.
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Fulling, S. A.
(2005).
Mass dependence of vacuum energy. Physics Letters B.
624(3-4), 281-286.
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Fulling, S. A., Andrianov, I. V., & Manevitch, L. I.
(2004).
Asymptotology: Ideas, Methods, and Applications. American Mathematical Monthly.
111(3), 271-271.
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Folland, G. B., Little, J. B., & Fulling, S. A.
(2004).
Reviews. American Mathematical Monthly.
111(3), 267-275.
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Fulling, S. A.
(2002).
Periodic orbits, spectral oscillations, scaling, and vacuum energy: Beyond HaMiDeW. Nuclear Physics B - Proceedings Supplements.
104(1-3), 161-164.
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Chen, G., Fulling, S. A., Lee, H., & Scully, M. O.
(2001).
Grover's algorithm for multiobject search in quantum computing. Lecture Notes in Physics.
561, 165-175.
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Fulling, S. A.
(2000).
Related Rates Collide with Vectors. College Mathematics Journal.
31(2), 116-119.
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Fulling, S. A.
(1999).
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem
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Estrada, R., & Fulling, S. A.
(1999).
Distributional asymptotic expansions of spectral functions and of the associated Green kernels. Electronic Journal of Differential Equations.
1999, 1-37.
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Fulling, S. A., & Gustafson, R. A.
(1999).
Some properties of Riesz means and spectral expansions. Electronic Journal of Differential Equations.
1999, 1-39.
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Fulling, S. A., Borosh, I., & da Conturbia, A.
(1998).
Cataloguing general graphs by point and line spectra. Computer Physics Communications.
115(2-3), 93-112.
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Fulling, S. A.
(1996).
Pseudodifferential operators, covariant quantization, the inescapable Van Vleck-Morette determinant, and the R/6 controversy. International Journal of Modern Physics D: Gravitation, Astrophysics and Cosmology.
5(6), 597-608.
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Fulling, S. A.
(1996).
Book review. Foundations of Physics.
26(8), 1109-1111.
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Fulling, S. A.
(1996).
Graph Expansions and Graphical Enumeration Applied to Semiclassical Propagator Expansions. Journal of Nonlinear Mathematical Physics.
3(1-2), 102-110.
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MOLZAHN, F. H., OSBORN, T. A., & FULLING, S. A.
(1992).
MULTISCALE SEMICLASSICAL APPROXIMATIONS FOR SCHRODINGER PROPAGATORS ON MANIFOLDS. ANNALS OF PHYSICS.
214(1), 102-141.
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MOLZAHN, F. H., OSBORN, T. A., & FULLING, S. A.
(1990).
GAUGE INVARIANT ASYMPTOTIC-EXPANSION OF SCHRODINGER PROPAGATORS ON MANIFOLDS. ANNALS OF PHYSICS.
204(1), 64-112.
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Fulling, S. A.
(1989).
Book Review. Transport Theory and Statistical Physics.
18(2), 249-253.
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FULLING, S. A., & KENNEDY, G.
(1988).
THE RESOLVENT PARAMETRIX OF THE GENERAL ELLIPTIC LINEAR-DIFFERENTIAL OPERATOR - A CLOSED FORM FOR THE INTRINSIC SYMBOL. Transactions of the American Mathematical Society.
310(2), 583-617.
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FULLING, S. A., & RUIJSENAARS, S.
(1987).
TEMPERATURE, PERIODICITY AND HORIZONS. Physics reports.
152(3), 135-176.
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FULLING, S. A., & KENNEDY, G.
(1987).
A CLOSED FORM FOR THE SYMBOL OF THE RESOLVENT PARAMETRIX OF AN ELLIPTIC OPERATOR. Lecture Notes in Mathematics.
1285, 126-133.
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FULLING, S. A.
(1985).
WHAT IS THE TIME DERIVATIVE OF A QUANTUM OBSERVABLE. ANNALS OF PHYSICS.
165(2), 315-318.
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Saslow, W. M., Fulling, S. A., & Hu, C.
(1985).
Erratum: Statics and dynamics of spin and electric dipoles in three, four, and other dimensions. Physical Review B (Condensed Matter).
32(3), 1830-1830.
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Fulling, S. A.
(1983).
Book review. General Relativity and Gravitation.
15(12), 1199-1199.
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FULLING, S. A., & NARCOWICH, F. J.
(1982).
A BASIS FOR THE LOCAL SOLUTIONS OF AN ELLIPTIC EQUATION. Journal of Mathematical Analysis and Applications.
86(1), 246-267.
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FULLING, S. A., NARCOWICH, F. J., & WALD, R. M.
(1981).
SINGULARITY STRUCTURE OF THE 2-POINT FUNCTION IN QUANTUM-FIELD THEORY IN CURVED SPACETIME .2. ANNALS OF PHYSICS.
136(2), 243-272.
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Fulling, S. A.
(1981).
The Local Asymptotics of Continuum Eigenfunciton Expansions. North Holland Mathematics Studies.
55(C), 181-187.
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DAVIES, P., FULLING, S. A., CHRISTENSEN, S. M., & BUNCH, T. S.
(1977).
ENERGY-MOMENTUM TENSOR OF A MASSLESS SCALAR QUANTUM FIELD IN A ROBERTSON-WALKER UNIVERSE. ANNALS OF PHYSICS.
109(1), 108-142.
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Fulling, S. A., & Parker, L.
(1974).
Renormalization in the theory of a quantized scalar field interacting with a robertson-walker spacetime. ANNALS OF PHYSICS.
87(1), 176-204.
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Fulling, S. A., & Satchler, G. R.
(1968).
Theoretical analysis of 30 MeV proton inelastic scattering. NUCLEAR PHYSICS A.
111(1), 81-99.
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Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2022).
Vacuum energy density and pressure inside a soft wall. International Journal of Modern Physics A.
37(19), 2241007.
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book
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Fulling, S. A., Sinyakov, M. N., & Tishchenko, S. V.
(2000).
Linearity and the Mathematics of Several Variables. World Scientific Publishing.
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Fulling, S. A.
(1989).
Aspects of Quantum Field Theory in Curved Space-Time. Cambridge University Press (CUP).
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Bogoliubov, N. N., Logunov, A. A., & Todorov, I. T.
(1975).
Introduction to Axiomatic Quantum Field Theory
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Fulling, S. A., Sinyakov, M. N., & Tishchenko, S. V.
(2000).
Linearity and the Mathematics of Several Variables. World Scientific Publishing.
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chapter
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Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2022).
Vacuum Energy Density and Pressure Inside a Soft Wall. The State of the Quantum Vacuum.
(pp. 187-211).
World Scientific Publishing.
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Carinhas, P. A., & Fulling, S. A.
(2020).
Computational Asymptotics of Fourth-Order Operators. Asymptotic and Computational Analysis.
(pp. 601-617).
Taylor & Francis.
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Englert, B. G., Fulling, S. A., & Pilloff, M. D.
(2015).
Cold atoms: Statistics of dressed modes in a thermal state. Quantum Paths: Festschrift in Honor of Berge Englert on his 60th Birthday.
(pp. 247-254).
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Mera, F. D., & Fulling, S. A.
(2013).
Convergence of the Neumann Series for the Schrdinger Equation and General Volterra Equations in Banach Spaces. Advances in Quantum Mechanics.
IntechOpen.
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Fulling, S. A., & Kennedy, G.
(1987).
A closed form for the intrinsic symbol of the resolvent parametrix of an elliptic operator. Lecture Notes in Physics.
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function.
(pp. 407-409).
Springer Nature.
-
Fulling, S. A.
(1983).
Two-point functions and renormalized observables. Lecture Notes in Physics.
Gauge Theory and Gravitation.
(pp. 101-106).
Springer Nature.
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Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2022).
Vacuum Energy Density and Pressure Inside a Soft Wall. The State of the Quantum Vacuum.
(pp. 187-211).
World Scientific Publishing.
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conference paper
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Ben-Benjamin, J. S., Scully, M. O., Fulling, S. A., Lee, D. M., Page, D. N., Svidzinsky, A. A., ... Unruh, W. G.
(2019).
Unruh acceleration radiation revisited. 61-87.
-
Fulling, S. A.
(2010).
VACUUM ENERGY DENSITY AND PRESSURE NEAR BOUNDARIES. 447-456.
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Fulling, S. A., & Wilson, J. H.
(2008).
Vacuum energy and closed orbits in quantum graphs. 673-+.
-
Fulling, S. A.
(2004).
Global and local vacuum energy and closed orbit theory. 166-174.
-
Fulling, S. A.
(1993).
Kernel asymptotics of exotic second-order operators. 63-76.
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Ben-Benjamin, J. S., Scully, M. O., Fulling, S. A., Lee, D. M., Page, D. N., Svidzinsky, A. A., ... Unruh, W. G.
(2019).
Unruh acceleration radiation revisited. 61-87.
-
institutional repository document
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Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2021).
Vacuum energy density and pressure inside a soft wall
-
Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2021).
Vacuum energy density and pressure inside a soft wall
-
Cozzella, G., Fulling, S. A., Landulfo, A., & Matsas, G.
(2020).
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors
-
Wilson, J. H., Sorge, F., & Fulling, S. A.
(2019).
Tidal and nonequilibrium Casimir effects in free fall
-
Landulfo, A., Fulling, S. A., & Matsas, G.
(2019).
Classical and quantum aspects of the radiation emitted by a uniformly accelerated charge: Larmor--Unruh reconciliation and zero-frequency Rindler modes
-
Ben-Benjamin, J. S., Scully, M. O., Fulling, S. A., Lee, D. M., Page, D. N., Svidzinsky, A. A., ... Unruh, W. G.
(2019).
Unruh Acceleration Radiation Revisited
-
Li, Y., Milton, K. A., Guo, X., Kennedy, G., & Fulling, S. A.
(2019).
Casimir forces in inhomogeneous media: renormalization and the principle of virtual work
-
Fulling, S. A., & Wilson, J. H.
(2018).
The Equivalence Principle at Work in Radiation from Unaccelerated Atoms and Mirrors
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Parashar, P., Milton, K. A., Li, Y., Day, H., Guo, X., Fulling, S. A., & Cavero-Pelaez, I.
(2018).
Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium
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Cozzella, G., Fulling, S. A., Landulfo, A., Matsas, G., & Vanzella, D.
(2018).
The Unruh effect for mixing neutrinos
-
Fulling, S. A., Settlemyre, T. E., & Milton, K. A.
(2018).
Renormalization for a Scalar Field in an External Scalar Potential
-
Zapata, T. A., & Fulling, S. A.
(2016).
WKB propagators in position and momentum space for a linear potential with a "ceiling" boundary
-
Milton, K. A., Fulling, S. A., Parashar, P., Kalauni, P., & Murphy, T.
(2016).
Stress tensor for a scalar field in a spatially varying background potential: Divergences, "renormalization," anomalies, and Casimir forces
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Murray, S. W., Whisler, C. M., Fulling, S. A., Wagner, J., Carter, H. B., Lujan, D., Mera, F. D., & Settlemyre, T. E.
(2015).
Vacuum energy density and pressure near a soft wall
-
Mera, F. D., & Fulling, S. A.
(2014).
Vacuum energy density and pressure of a massive scalar field
-
Fulling, S. A., & Yang, Y.
(2014).
Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy
-
Milton, K. A., Shajesh, K. V., Fulling, S. A., & Parashar, P.
(2014).
How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy
-
Fulling, S. A., & Mera, F. D.
(2013).
Comment on `Wedges, cones, cosmic strings and their vacuum energy'
-
Milton, K. A., Kheirandish, F., Parashar, P., Abalo, E. K., Fulling, S. A., Bouas, J. D., Carter, H., & Kirsten, K.
(2013).
Investigations of the torque anomaly in an annular sector. I. Global calculations, scalar case
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Mera, F. D., Fulling, S. A., Bouas, J. D., & Thapa, K.
(2013).
WKB Approximation to the Power Wall
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Fulling, S. A., Mera, F. D., & Trendafilova, C. S.
(2012).
Torque Anomaly in Quantum Field Theory
-
Estrada, R., Fulling, S. A., & Mera, F. D.
(2012).
Surface Vacuum Energy in Cutoff Models: Pressure Anomaly and Distributional Gravitational Limit
-
Fulling, S. A., Trendafilova, C. S., Truong, P. N., & Wagner, J.
(2012).
Wedges, Cones, Cosmic Strings, and the Reality of Vacuum Energy
-
Bouas, J. D., Fulling, S. A., Mera, F. D., Thapa, K., Trendafilova, C. S., & Wagner, J.
(2011).
Investigating the Spectral Geometry of a Soft Wall
-
Trendafilova, C. S., & Fulling, S. A.
(2011).
Static solutions of Einstein's equations with cylindrical symmetry
-
Fulling, S. A.
(2009).
The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
-
Kirsten, K., & Fulling, S. A.
(2009).
Kaluza-Klein models as pistons
-
Fulling, S. A., & Kirsten, K.
(2008).
Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]
-
Fulling, S. A., Kaplan, L., Kirsten, K., Liu, Z. H., & Milton, K. A.
(2008).
Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
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Milton, K. A., Fulling, S. A., Parashar, P., Romeo, A., Shajesh, K. V., & Wagner, J. A.
(2007).
Gravitational and Inertial Mass of Casimir Energy
-
Fulling, S. A., Kuchment, P., & Wilson, J. H.
(2007).
Index theorems for quantum graphs
-
Fulling, S. A.
(2007).
Vacuum Energy as Spectral Geometry
-
Fulling, S. A., Kaplan, L., & Wilson, J. H.
(2007).
Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs
-
Fulling, S. A., Milton, K. A., Parashar, P., Romeo, A., Shajesh, K. V., & Wagner, J.
(2007).
How Does Casimir Energy Fall?
-
Fulling, S. A., & Wilson, J. H.
(2006).
Repulsive Casimir Pistons
-
Fulling, S. A.
(2005).
Local Spectral Density and Vacuum Energy near a Quantum Graph Vertex
-
Fulling, S. A.
(2005).
Mass Dependence of Vacuum Energy
-
Fulling, S. A., & Kuchment, P.
(2005).
Coincidence of length spectra does not imply isospectrality
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Bondurant, J. D., & Fulling, S. A.
(2004).
The Dirichlet-to-Robin Transform
-
Fulling, S. A.
(2003).
Systematics of the Relationship between Vacuum Energy Calculations and Heat Kernel Coefficients
-
Fulling, S. A., Englert, B., & Pilloff, M. D.
(2002).
Interacting Bosons at Finite Temperature: How Bogolubov Visited a Black Hole and Came Home Again
-
Englert, B., Fulling, S. A., & Pilloff, M. D.
(2002).
Statistics of dressed modes in a thermal state
-
Fulling, S. A.
(2000).
Spectral Oscillations, Periodic Orbits, and Scaling
-
Chen, G., Fulling, S. A., & Chen, J.
(2000).
Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time
-
Fulling, S. A.
(1999).
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem
-
Fulling, S. A.
(1999).
Large Numbers, the Chinese Remainder Theorem, and the Circle of Fifths
-
Chen, G., Fulling, S. A., & Scully, M. O.
(1999).
Grover's Algorithm for Multiobject Search in Quantum Computing
-
Estrada, R., & Fulling, S. A.
(1997).
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
-
Fulling, S. A.
(1997).
Some Properties of Riesz Means and Spectral Expansions
-
Shayit, A., Fulling, S. A., Settlemyre, T. E., & Merritt, J.
(2021).
Vacuum energy density and pressure inside a soft wall
-
thesis
-
Fulling, S. A.
(1972).
Scalar quantum field theory in a closed universe of constant curvature
-
Fulling, S. A.
(1972).
Scalar quantum field theory in a closed universe of constant curvature
editor of
-
book
-
Fulling, S. A., & Narcowich, F. J.
(1991).
Forty More Years of Ramifications Spectral Asymptotics and Its Applications
Fulling, S. A. (Eds.),
-
Berkolaiko, G.
Quantum Graphs and Their Applications Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah
Berkolaiko, G. (Eds.),
American Mathematical Soc..
-
Fulling, S. A., & Narcowich, F. J.
(1991).
Forty More Years of Ramifications Spectral Asymptotics and Its Applications
Fulling, S. A. (Eds.),
Teaching
teaching activities
- MATH309 Linear Alg For Diff Eq Instructor
- MATH460 Tensors And Gen Relativ Instructor
- MATH467 Hnr-modern Geometry Instructor
- MATH467 Modern Geometry Instructor
- MATH491 Hnr-research Instructor
- MATH491 Hnr-research Instructor
- MATH640 Linear Algebra For Appl Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
- PHYS285 Directed Studies Instructor
- PHYS291 Research Instructor
- PHYS485 Directed Studies Instructor
- PHYS491 Hnr-research Instructor
- PHYS685 Directed Studies Instructor
- PHYS691 Research Instructor
Works By Students
chaired theses and dissertations
-
Bouas, Jeffrey David (2011-08). Hertz Potentials and Differential Geometry.
-
Gunturk, Kamil Serkan (2006-08). Covariant Weyl quantization, symbolic calculus, and the product formula.
-
Liu, Zhonghai (2006-10). Cylinder kernel expansion of Casimir energy with a Robin boundary.
-
Liu, Zhonghai (2010-07). Closed Path Approach to Casimir Effect in Rectangular Cavities and Pistons.
-
Mera, Fernando Daniel (2011-08). The Schrodinger Equation as a Volterra Problem.
-
Zapata, Todd Austin (2009-05). The WKB approximation for a linear potential and ceiling.
Background
education and training
- Ph.D. in Physics, Princeton University - (Princeton, New Jersey, United States) 1972
- M.A. in Physics, Princeton University - (Princeton, New Jersey, United States) 1969
- A.B., Harvard University - (Cambridge, Massachusetts, United States) 1967
Contact
first name
- Stephen
has last name
- Fulling
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- fulling@tamu.edu