@article{AIHPA_1998__68_3_351_0, author = {Noja, Diego and Posilicano, Andrea}, title = {The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {351--377}, publisher = {Gauthier-Villars}, volume = {68}, number = {3}, year = {1998}, mrnumber = {1622543}, zbl = {0923.35172}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1998__68_3_351_0/} }
TY - JOUR AU - Noja, Diego AU - Posilicano, Andrea TI - The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle JO - Annales de l'I.H.P. Physique théorique PY - 1998 SP - 351 EP - 377 VL - 68 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1998__68_3_351_0/ LA - en ID - AIHPA_1998__68_3_351_0 ER -
%0 Journal Article %A Noja, Diego %A Posilicano, Andrea %T The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle %J Annales de l'I.H.P. Physique théorique %D 1998 %P 351-377 %V 68 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1998__68_3_351_0/ %G en %F AIHPA_1998__68_3_351_0
Noja, Diego; Posilicano, Andrea. The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle. Annales de l'I.H.P. Physique théorique, Tome 68 (1998) no. 3, pp. 351-377. http://archive.numdam.org/item/AIHPA_1998__68_3_351_0/
[ABD] Fundamentals Solutions of the Heat and Schrödinger Equations with Point Interactions. J. Funct. Anal., Vol. 130, 1995, pp. 220-254. | MR | Zbl
, and ,[AGHH] Solvable Models in Quantum Mechanics. New York: Springer-Verlag 1988. | MR | Zbl
, , and ,[A] Rigorous Theory of Spectra and Radiation for a Model in Quantum Electrodynamics. J. Math. Phys., Vol. 24, 1983, pp. 1896-1910. | MR | Zbl
,[B] A Proof of the Lorentz-Dirac Equation for Charged Point Particles. Preprint Univ. Milano 1996.
,[BG] Some Rigorous Results on the Pauli-Fierz Model of Classical Electrodynamics. Ann. Inst. H.Poincaré, Vol. 58A, 1993, pp. 155-171. | Numdam | MR | Zbl
and ,[BN] Classical Electrodynamics of Point Particles and Mass Renormalization. Some Preliminary Results. Lett. Math. Phys. Vol. 37, 1996, pp. 449-460. | MR | Zbl
and ,[Be] The Electromagnetic Shift of Energy Levels. Phys. Rev., Vol. 72, 1947, pp. 339-341. | Zbl
,[Bl] Discussion Mathematique du Modèle de Pauli-Fierz relatif au Catastrophe Infrarouge. Commun. Math. Phys., Vol. 15, 1969, pp. 156-172. | MR
.,[CN] Runaway Modes in Model Field Theory. Phys. Rev., Vol. 125, 1962, pp. 1422-1428. | MR | Zbl
and ,[DFT] Diffusion of a Particle in Presence of N Moving Point Sources. Preprint Univ. di Roma "La Sapienza" 1996.
, and ,[D] Classical Theory of Radiating Electrons. Proc. Roy. Soc., Vol. A167, 1938, pp. 148-168. | JFM | Zbl
,[EIH] The Gravitational Equations and the Problem of Motion. Ann. Math., Vol. 39, 1938, pp. 65-100. | JFM | MR | Zbl
, and ,[F] Second Order Linear Differential Equations in Banach Spaces. Amsterdam: North-Holland 1985. | MR | Zbl
,[H] The Quantum Theory of Radiation. Oxford: Clarendon 1950.
,[IW] The Equation of Motions in Electrodynamics. Phys. Rev., Vol. 57, 1940, pp. 797-806. | JFM | MR | Zbl
and ,[K] Electrodynamics of Moving Particles. Gen. Rel. Grav. Vol. 26, 1994, pp. 167-201. | MR
,[Ki] On the Cosine Operator Functions and One-Parameter Groups of Operators. Studia Math. , Vol. 44, 1972, pp. 93-105. | MR | Zbl
,[Kr] Nonrelativistic Quantum Electrodynamics and the Correspondence Principle, in: R. Stoops (ed.), Rapports et Discussions du Huitieme conseil de Physique Solvay. Brussels 1950.
,[L] The Theory of Electrons ( 2 nd edition). New York: Dover 1952.
,[PF] Zur Theorie der Emission langwelliger Lichtquanten. Nuovo Cimento, Vol. 15, 1938, pp. 168-188. | JFM
and ,[S1] Cosine Operator Functions. Dissertationes Math., Vol. 49, 1966, pp. 1-47. | MR | Zbl
,[S2] Semigroups and Cosine Functions of Normal Operators in Hilbert Spaces. Časopis Pešt. Mat., Vol. 93, 1968, pp. 386-421. | MR | Zbl
,[T] Quadratic Forms for Singular Perturbations of the Laplacian. Publ. RIMS Kyoto Univ., Vol. 26, 1990, pp. 803-819 | MR | Zbl
,[VK] Contributions to the Quantum Theory of Light Scattering. Kgl. Danske. Videnskab. Selskab, Mat. Fys. Medd, Vol. 26, 1951, No. 15. | MR | Zbl
.,