Selected Publications

For a full list of publications click here (link to INSPIRE, the High Energy Physics information system).

Articles with more than 100 citations

Articles with more than 50 citations
 

Book

  • K. Kirsten, Spectral functions in mathematics and physics, Chapman&Hall/CRC Press, Boca Raton, FL, 2002. Summary

Research Articles

Quantum gravity effects in the cosmic microwave background

  • T. Zhu, A. Wang, G. Cleaver, K. Kirsten, Q. Sheng and Q. Wu, Detecting quantum gravitational effects of loop quantum cosmology in the early universe, ApJ 807 (2015) L17 (6pp).
  • T. Zhu, A. Wang, G. Cleaver, K. Kirsten and Q. Sheng, Power spectra and spectral indices of k-inflation: high-order corrections, Phys. Rev. D 90 (2014) 103517 (18pp).
  • T. Zhu, A. Wang, G. Cleaver, K. Kirsten and Q. Sheng, Gravitational quantum effects on power spectra and spectral indices with higher-order corrections, Phys. Rev. D 90 (2014) 063503 (20pp).
  • T. Zhu, A. Wang, G. Cleaver, K. Kirsten and Q. Sheng, Inflationary cosmology with nonlinear dispersion relations, Phys. Rev. D 89 (2014) 043507 (23pp).

Spectral (zeta) functions

  • G. Fucci, C. Graham and K. Kirsten, Spectral functions for regular Sturm-Liouville problems, J. Math. Phys. 56 (2015) 043503 (24pp).
  • J. M. Muñoz-Castañeda, K. Kirsten and M. Bordag, QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions, Lett. Math. Phys. 105 (2015) 523-549.
  • G. Fucci and K. Kirsten, The spectral zeta function for Laplace operators on warped manifolds of the type I ×f N, Commun. Math. Phys. 317 (2013) 635-665.
  • G. Fucci and K. Kirsten, Heat kernel coefficients for Laplace operators on the spherical suspension, Commun. Math. Phys. 314 (2012) 483-507.
  • K. Kirsten and P. Loya, Analytic surgery of the zeta function, Commun. Math. Phys., 310 (2012) 181-215.
  • M. van den Berg, P. Gilkey and K. Kirsten, Growth of heat trace and heat content asymptotic coefficients, J. Funct. Anal. 261 (2011) 2293-2322.
  • M. van den Berg, P. Gilkey and K. Kirsten, Heat trace asymptotics with singular weight functions II, J. Geom. Anal. 21 (2011) 870-901.
  • J. M. Harrison and K. Kirsten, Zeta functions of quantum graphs, J. Phys. A: Math. Theor. 44 (2011) 235301 (29pp).
  • K. Kirsten and A. J. McKane, Functional determinants for general Sturm-Liouville problems, J. Phys. A: Math. Gen. 37 (2004) 4649-4670.
  • P. B. Gilkey and K. Kirsten, Heat content asymptotics with transmittal and transmission boundary conditions, J. London Math. Soc. 68 (2003) 431-443.
  • T. P. Branson, P. B. Gilkey, K. Kirsten and D. V. Vassilevich, Heat kernel asymptotics with mixed boundary conditions, Nucl. Phys. B. 563 [PM] (1999) 603-626.
  • M. Bordag, E. Elizalde and K. Kirsten, Heat kernel coefficients of the Laplace operator on the D-dimensional ball, J. Math. Phys. 37 (1996) 895-916.

Quantum field theory under the influence of external conditions

  • G. Esposito, G. Fucci, A.Yu. Kamenshchik and K. Kirsten, Spectral methods in quantum field theory and quantum cosmology, J. Phys. A: Math. Theor. 45 (2012) 374004 (26pp).
  • G.V. Dunne and K. Kirsten, Functional determinants for radial operators, J. Phys. A: Math. Gen. 39 (2006) 11915-11928.
  • J. S. Dowker and K. Kirsten, Elliptic functions and temperature inversion symmetry on spheres, Nucl. Phys. B 638 (2002) 405-432.
  • P. B. Gilkey, K. Kirsten and D. V. Vassilevich, Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario, Nucl. Phys. B. 601 (2001) 125-148.
  • M. Bordag and K. Kirsten, Vacuum energy in a spherically symmetric background field, Phys. Rev. D 53 (1996) 5753-5760.

Casimir effect

  • M. Beauregard, M. Bordag and K. Kirsten, Casimir energies in spherically symmetric background potentials revisited, J. Phys. A: Math. Theor. 48 (2015) 095401 (14pp).
  • K. A. Milton, P. Parashar, E. K. Abalo, F. Kheirandish and K. Kirsten, Investigations of the torque anomaly in an annular sector. II. Global calculations, electromagnetic case, Phys. Rev. D 88 (2013) 045030 (9pp).
  • K. A. Milton, F. Kheirandish, P. Parashar, E. K. Abalo, S. A. Fulling, J. D. Bouas, H. Carter and K. Kirsten, Investigations of the torque anomaly in an annular sector. I. Global calculations, scalar case, Phys. Rev. D 88 (2013) 025039 (11pp).
  • K. Kirsten, The Casimir effect and its mathematical implications, Nuovo Cimento C 36 (2013) 139-162.
  • K. Kirsten and S. A. Fulling, Kaluza-Klein models as pistons, Phys. Rev. D 79 (2009) 065019 (10pp).
  • G. Cognola, E. Elizalde and K. Kirsten, Casimir energies for spherically symmetric cavities, J. Phys. A: Math. Gen. 34 (2001) 7311-7327.
  • M. Bordag, K. Kirsten and D. V. Vassilevich, On the ground state energy for a penetrable sphere and for a dielectric ball, Phys. Rev. D 59 (1999) 085011-(1-14).
  • E. Elizalde, M. Bordag and K. Kirsten, Casimir energy for a massive fermionic quantum field with a spherical boundary, J. Phys. A: Math. Gen. 31 (1998) 1743-1759.
  • M. Bordag, E. Elizalde, K. Kirsten and S. Leseduarte, Casimir energies for massive fields in a spherical geometry, Phys. Rev. D 56 (1997) 4896-4904.

Bose-Einstein condensation

  • G. Fucci and K. Kirsten, Bose-Einstein condensation on product manifolds, J. Phys. A: Math. Theor. 44 (2011) 332002 (8pp).
  • K. Kirsten and D. J. Toms, Bose-Einstein condensation in arbitrarily shaped cavities, Phys. Rev. E 59 (1999) 158-167.
  • M. Holthaus, E. Kalinowski and K. Kirsten, Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble, Ann. Phys. 270 (1998) 198-230.
  • K. Kirsten and D. J. Toms, Bose-Einstein condensation of atomic gases in a general harmonic oscillator confining potential trap, Phys. Rev. A 54 (1996) 4188-4203.
  • K. Kirsten and D. J. Toms, Effective Action Approach to Bose-Einstein Condensation of Ideal Gases, J. Res. Natl. Inst. Stand. Technol. 101 (1996) 471-486.

Conical manifolds

  • K. Kirsten and P. Loya, Spectral functions for the Schrödinger operator on (0,∞) with a singular potential, J. Math. Phys. 51 (2010) 053512 (29pp).
  • K. Kirsten, P. Loya and J. Park, Exotic expansions and pathological properties of ζ-functions on conic manifolds, J. Geom. Anal. 18 (2008) 835-888.
  • K. Kirsten, P. Loya and J. Park, The very unusual properties of the resolvent, heat kernel, and zeta function for the operator –d²/dr²-1/(4r²), J. Math. Phys. 47 (2006) 043507-(1-27).
  • J. S. Dowker and K. Kirsten, Spinors and forms on the ball and the generalized cones, Communications in Analysis and Geometry 7 (1999) 641-679.
  • M. Bordag, J. S. Dowker and K. Kirsten, Heat-kernels and functional determinants on the generalized cone, Comm. Math. Phys. 182 (1996) 371-394.
  • G. Cognola, K. Kirsten and L. Vanzo, Free and Self-Interacting Scalar Fields in the Presence of Conical Singularities, Phys. Rev. D 49 (1994) 1029-1038.