Fetching the paper…
Reading the bibliography…
We consider the Dirac equation on the Kerr-Newman-AdS black hole background.
Schwinger, J.: Magnetic charge and quantum field theory. Phys. Rev. 144, 1087-1093 (1966)
1966
Earlier work this paper cites.
Weidmann, J.: Oszillationsmethoden für Systeme gewönlicher Differentialgleichungen. Math. Z. 119, 349-373 (1971)
1971
Earlier work this paper cites.
Reed, M. and Simon, B.: Methods of modern mathematical physics. Vol II: Fourier analysis, self-adjointness. San Diego: Academic Press, 1975
1975
Earlier work this paper cites.
Wu, T.T. and Yang, C.N.: Dirac monopole without strings: monopole harmonics. Nucl. Phys. B107, 365-380 (1976)
1976
Earlier work this paper cites.
Damour, T.: Klein paradox and vacuum polarization. In: Ruffini, R. (ed.) Proceedings of the first Marcel Grossmann Meeting on General Relativity. Proceedings, Trieste, 1975. Amsterdam: North–Holland, 1977, pp. 459-482
1977
Earlier work this paper cites.
Reed, M. and Simon, B.: Methods of modern mathematical physics. Vol IV: Analysis of operators. San Diego: Academic Press, 1978
1978
Earlier work this paper cites.
Weidmann, J.: Linear Operators in Hilbert Spaces. Graduate Texts in Mathematics 68. Berlin: Springer-Verlag, 1980
1980
Earlier work this paper cites.
Weidmann, J.: Absolut stetiges Spektrum bei Sturm-Liouville-Operatoren und Dirac-Systemen. Math. Z. 180, 423-427 (1982)
1982
Earlier work this paper cites.
Hawking, S.W. and Page, D.N.: Thermodynamics of Black Holes in Anti-de Sitter Space. Commun. Math. Phys. 87, 577-588 (1983)
1983
Earlier work this paper cites.
Kamran, N. and Mclenaghan, R.G.: Separation Of Variables And Symmetry Operators For The Neutrino And Dirac Equations In The Space-Times Admitting A Two Parameter Abelian Orthogonally Transitive Isometry Group And A Pair Of Shearfree Geodesic Null Congruences. J. Math. Phys. 25, 1019-1027 (1984)
1984
Earlier work this paper cites.
Hinton, D.B. and Shaw, J.K.: Absolutely continuous spectra of Dirac systems with long range, short range and oscillating potentials. Quart. J. Math. Oxford 36, 183-213 (1985)
1985
Earlier work this paper cites.
Barut, A.O. and Wilson, R.: On the Connection between Dyons, Vortices, and Aharonov-Bohm Effect. Ann. Phys. 164, 223-232 (1985)
1985
Earlier work this paper cites.
Weidmann, J.: Spectral Theory of Ordinary Differential Operators. Lecture Notes in Mathematics 1258. Berlin: Springer-Verlag, 1987
1987
Earlier work this paper cites.
Hinton, D.B. and Shaw, J.K.: Dirac systems with discrete spectra. Can. J. Math. XXXIX, 100-122 (1987)
1987
Cited alongside, same era.
Eastham, M.S.P.: The Asymptotic Solution Of Linear Differential Systems. Applications of the Levinson theorem. London Mathematical Society Monographs New Series 4. Oxford Science Publications. Oxford: Clarendon Press, 1989
1989
Cited alongside, same era.
Mlak, W: Hilbert Spaces and Operator Theory. Mathematics and Its Application (East European Series) Vol. 51. Dordrecht: Kluwer Academic Publishers, 1991
1991
Cited alongside, same era.
Wald, R.: Dynamics in nonglobally hyperbolic, static space-times. J. Math. Phys. 21, 2802-2805 (1980)
1995
Cited alongside, same era.
Kato, T.: Perturbation theory for linear operators. Classics in mathematics. Berlin: Springer-Verlag, 1995
1995
Cited alongside, same era.
Caldarelli, M.M., Cognola, G. and Klemm, D.: Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories. Class. Quant. Grav. 17 399-420 (2000)
2000
Later among the works it cites.
Finster, F., Kamran, N., Smoller, J. and Yau, S.T.: The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry. Adv. Theor. Math. Phys. 7, 25-52 (2003)
2003
Later among the works it cites.
Dafermos, M.: On ’time periodic’ black hole solutions to certain spherically symmetric Einstein matter systems. Commun. Math. Phys. 238, 411-427 (2003)
2003
Later among the works it cites.
Ghosh, R.K., Pal, P.B.: A non-singular potential for the Dirac monopole. Phys. Lett. B551, 387-390 (2003)
2003
Later among the works it cites.
Häfner, D. and Nicolas, J.-P.: Scattering of massless Dirac fields by a Kerr black hole. Rev. Math. Phys. 16, 29-123 (2004)
2004
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Schmidt, K.M.: Dense point spectrum and absolutely continous spectrum in spherically symmetric Dirac operators. Forum Math. 7, 459-475 (1995)
1995
Cited alongside, same era.
Callan, C.G. and Maldacena J.M.: Black holes in string theory. Prepared for ICTP Summer School in High-energy Physics and Cosmology, Trieste, Italy, 10 Jun - 26 Jul 1996. In Trieste 1996, High-energy Physics and Cosmology. pp. 1-65
1996
Cited alongside, same era.
Chrusciel, P.T.: ’No hair’ theorems: Folklore, conjectures, results. Contemp. Math. 170, 23-49 (1994)
1996
Cited alongside, same era.
Walter, W.: Ordinary Differential Equations. Graduate Texts in Mathematics 182. Berlin: Springer, 1998
1998
Cited alongside, same era.
Belgiorno, F. and Martellini, M.: Quantum properties of the electron field in Kerr-Newman black hole manifolds. Phys. Lett. B453, 17-22 (1999)
1999
Cited alongside, same era.
Hsieh, P.-F., Sibuya, Y.: Basic Theory of Ordinary Differential Equations. Berlin: Springer, 1999
1999
Cited alongside, same era.
Finster, F., Smoller, J. and Yau, S.T.: Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordstroem black hole background. J. Math. Phys. 41, 2173-2194 (2000)
2000
Cited alongside, same era.
Later among the works it cites.
Winklmeier, M.: The Angular Part of the Dirac Equation in the Kerr-Newman Metric: Estimates for the Eigenvalues. Ph.D thesis (2005)
2005
Later among the works it cites.
Batic, D., Winklmeier, M. and Schmid H.: On the eigenvalues of the Chandrasekhar-Page angular equation. J. Math. Phys. 46, 012504 (2005)
2005
Later among the works it cites.
Winklmeier, M. and Yamada, O.: Spectral analysis of radial Dirac operators in the Kerr-Newman metric and its applications to time-periodic solutions. J. Math. Phys. 47, 102503 (2006)
2006
Later among the works it cites.
Batic, D. and Schmid, H.:The Dirac propagator in the Kerr-Newman metric. Prog.Theor.Phys. 116, 517-544 (2006)
2006
Later among the works it cites.
Schmid, H.: Bound state solutions of the Dirac equation in the extreme Kerr geometry. Math. Nachr. 274-275, 117 (2004)
2007
Later among the works it cites.
Belgiorno, F. and Cacciatori, S.L.: Quantum Effects for the Dirac Field In Reissner-Nordström-AdS Black Hole Background. Class. Quant. Grav. 25, 105013 (2008)
2008
Closest in time.
Blagojević, M. and Senjanović, P.: The quantum field theory of electric and magnetic charge. Phys. Rep. 157, 233-346 (1988);
2008
Closest in time.