Stephen A. Fulling -- Selected Publications

(See also the links under "Professional Interests".)

S. A. Fulling, Nonuniqueness of canonical field quantization in Riemannian space-time, Phys. Rev. D 7, 2850-2862 (1973).

L. Parker and S. A. Fulling, Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces, Phys. Rev. D 9, 341-354 (1974).

S. A. Fulling and P. C. W. Davies, Radiation from a moving mirror in two dimensional space-time: Conformal anomaly, Proc. Roy. Soc. London A 348, 393-414 (1976).

S. M. Christensen and S. A. Fulling, Trace anomalies and the Hawking effect, Phys. Rev. D 15, 2088-2104 (1977).

S. A. Fulling, F. J. Narcowich, and R. M. Wald, Singularity structure of the two-point function in quantum field theory in curved space-time. II, Ann. Phys. (NY) 136, 243-272 (1981).

S. A. Fulling, The local geometric asymptotics of continuum eigenfunction expansions. I, II, SIAM J. Math. Anal. 13, 891-912 (1982); ibid. 14, 780-795 (1983).

S. A. Fulling and S. N. M. Ruijsenaars, Temperature, periodicity, and horizons, Phys. Reports 152, 135-176 (1987).

S. A. Fulling and G. Kennedy, The resolvent parametrix of the general elliptic linear differential operator: A closed form for the intrinsic symbol, Transac. Am. Math. Soc. 310, 583-617 (1988).

S. A. Fulling, Aspects of Quantum Field Theory in Curved Space-Time, Cambridge University Press, 1989. Corrections available.

S. A. Fulling, The analytic approach to recursion relations, J. Symbolic Comput. 9, 73-85 (1990).

F. H. Molzahn, T. A. Osborn, and S. A. Fulling, Gauge invariant asymptotic expansion of Schrodinger propagators on manifolds, Ann. Phys. (NY) 204, 64-112 (1990); Multi-scale semiclassical approximations for Schrodinger propagators on manifolds, ibid. 214, 102-141 (1992).

G. Chen, S. A. Fulling, F. J. Narcowich, and S. Sun, Exponential decay of energy of evolution equations with locally distributed damping, SIAM J. Appl. Math. 51, 266-301 (1991).

P. B. Gilkey, T. P. Branson, and S. A. Fulling, Heat equation asymptotics for `nonminimal' operators on differential forms, J. Math. Phys. 32, 2089-2091 (1991).

S.A. Fulling, C. J. Cummins, R. C. King, and B. G. Wybourne, Normal forms for tensor polynomials. I, Class. Quantum Grav. 9, 1151-1198 (1992).

S. A. Fulling, Kernel asymptotics of exotic second-order operators, Proceedings of the Third International Colloquium on Differential Equations, ed. by D. Bainov and V. Covachev, VSP International Science Publishers, 1993, pp. 63-76. Preprint (director's cut) available.

G. Chen, S. A. Fulling, and J. Zhou, Asymptotic equipartition of energy by nodal points of an eigenfunction, J. Math. Phys 38, 5350-5360 (1997). Abstract available.

S. A. Fulling, I. Borosh, and A. da Conturbia, Cataloguing general graphs by point and line spectra, Computer Phys. Commun. 115, 93-112 (1998). Preprint available on related Web page.

S. A. Fulling (with appendix by R. A. Gustafson), Some properties of Riesz means and spectral expansions, Electron. J. Diff. Eqs. 1999 No. 6, 1-39 (1999)

R. Estrada and S. A. Fulling, Distributional asymptotic expansions of spectral functions and of the associated Green kernels, Electron. J. Diff. Eqs. 1999 No. 7, 1-37 (1999)

S. A. Fulling, E. V. Gorbar, and C. T. Romero, Spectral Riesz-Cesaro means: How the square root function helps us to see around the world, Mathematical Physics and Quantum Field Theory, Electron. J. Diff. Eqs., Conf. 04 (2000) (proceedings of the Eyvind H. Wichmann Symposium, Berkeley, 1999), pp. 87-101.

S. A. Fulling, TeX and the Web in the higher education of the future: Dreams and difficulties, TUGboat 20, 162-166 (1999).

S. A. Fulling, Related rates collide with vectors, College Math. J. 31, 116-119 (2000). Preprint of earlier version available (DVI landscape) (PDF portrait).

S. A. Fulling (with M. N. Sinyakov and S. V. Tishchenko), Linearity and the Mathematics of Several Variables, World Scientific Publishing Co., Singapore, 2000.

S. A. Fulling, Spectral oscillations, periodic orbits, and scaling, J. Phys. A 35, 4049-4066 (2002). Preprint available.

S. A. Fulling and K. S. Güntürk, Exploring the propagator of a particle in a box, Am. J. Phys. 71, 55-63 (2003). Preprint available

S. A. Fulling, B.-G. Englert, and M. D. Pilloff, Interacting bosons at finite temperature: How Bogolubov visited a black hole and came home again, Foundations of Physics 33, 87-110 (2003) (special issue in honor of Jacob Bekenstein). Preprint available at ArXiv

S. A. Fulling, Systematics of the relationship between vacuum energy calculations and heat kernel coefficients, J. Phys. A 36, 6857--6873 (2003). Preprint available at ArXiv ._. Addenda

S. A. Fulling, Large numbers, the Chinese remainder theorem, and the circle of fifths. Preprint available

S. A. Fulling, Global and local vacuum energy and closed orbit theory, in Proceedings of the 6th Workshop on Quantum Field Theory under the Influence of External Conditions (Norman, OK, Sept. 2003), ed. by K. Milton, Rinton Press, 2004, pp. 166-174. Preprint available (including some minor corrections to the published version)

S. A. Fulling and W. G. Unruh, Comment on "Boundary conditions in the Unruh problem", Physical Review D 70, 048701 (2004). Preprint available

S. A. Fulling, How to do without the inverse secant (and even the secant itself), College Math. J. 36, 381-387 (2005).

S. A. Fulling, Mass dependence of vacuum energy, Phys. Lett. B 624, 281-286 (2005). Preprint available at ArXiv

J. D. Bondurant and S. A. Fulling, The Dirichlet-to-Robin transform, J. Phys. A 38, 1505-1532 (2005). Preprint available at ArXiv

S. A. Fulling, Local spectral density and vacuum energy near a quantum graph vertex, Quantum Graphs and Their Applications, ed. by G. Berkolaiko, R. Carlson, S. A. Fulling, and P. Kuchment, Contemp. Math. 415, 161-172 (2006) (proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Snowbird, Utah, 2005). Preprint available at ArXiv

Z. H. Liu and S A. Fulling, Casimir energy with a Robin boundary: The multiple-reflection cylinder-kernel expansion, New J. Phys. 8, 234 (2006) (focus issue on Casimir forces).

R. Estrada and S. A. Fulling, Functions and distributions in spaces with thick points, Internat. J. Appl. Math. Stat. 10 (S07) (2007) 25-37 (special issue for the tricentennial of Leonard Euler). Preprint

S. A. Fulling, L. Kaplan, and J. H. Wilson, Vacuum energy and repulsive Casimir forces in quantum star graphs, Phys Rev. A 76 (2007) 012118. Preprint available at ArXiv

S. A. Fulling, P. Kuchment, and J. H. Wilson, Index theorems for quantum graphs, J. Phys. A 40 (2007) 14165--14180. Preprint available at ArXiv

S. A. Fulling, L. Kaplan, K. Kirsten, Z. H. Liu, and K. A. Milton, Vacuum stress and closed paths in rectangles, pistons, and pistols, J. Phys. A 42 (2009) 155402. Preprint available at ArXiv

C. S. Trendafilova and S. A. Fulling, Static solutions of Einstein's equations with cylindrical symmetry, Eur. J. Phys. 32 (2011) 1663-1677. Preprint available at ArXiv

S. A. Fulling, C. S. Trendafilova, P. N. Truong, and J. Wagner, Wedges, cones, cosmic strings and their vacuum energy, J. Phys. A 45 (2012) 374018 (special issue in honor of J. Stuart Dowker). Preprint (director's cut) available at ArXiv

R. Estrada, S. A. Fulling, and F. D. Mera, Surface vacuum energy in cutoff models: Pressure anomaly and distributional gravitational limit, J. Phys. A 48 (2012) 455402. Preprint available at ArXiv

S. A. Fulling, F. D. Mera, and C. S. Trendafilova, Torque anomaly in quantum field theory, Phys. Rev. D 87 (2013) 047702. Preprint available at ArXiv

F. D. Mera and S. A. Fulling, Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces, in Advances in Quantum Mechanics, edited by P. Bracken (InTech, Rijeka (Croatia), 2013), pp. 247-268.

S. A. Fulling, J. D. Bouas, and H. B. Carter, The gravitational field of an infinite flat slab, Phys. Scripta 90 (2015) 088006.

(Many recent papers appear on the "Professional Interests" pages, not here.)

Last updated Mon 13 Dec 2021