Edit Profile (opens in new tab) Brau, Fabian Co-Author Distance Author ID: brau.fabian Published as: Brau, Fabian; Brau, F. External Links: ORCID Documents Indexed: 23 Publications since 1998 Co-Authors: 17 Co-Authors with 11 Joint Publications 311 Co-Co-Authors all top 5 Co-Authors 12 single-authored 4 Calogero, Francesco A. 3 Ebert, Ute 3 Schäfer, Lothar 3 Tanveer, Saleh 2 Kao, Chiu-Yen 2 Semay, Claude 1 Brihaye, Yves 1 Buisseret, Fabien 1 Derks, Gianne 1 Hundsdorfer, Willem H. 1 Lassaut, Monique 1 Luque, Alejandro 1 Meulenbroek, Bernard 1 Nijdam, S. 1 Ratushnaya, V. I. 1 Silvestre-Brac, Bernard 1 Tchrakian, D. H. all top 5 Serials 6 Journal of Mathematical Physics 6 Journal of Physics A: Mathematical and General 4 Physics Letters. A 2 International Journal of Modern Physics A 2 Physica D 1 Journal of Computational Physics 1 Nonlinearity 1 Journal of Nonlinear Mathematical Physics all top 5 Fields 20 Quantum theory (81-XX) 3 Partial differential equations (35-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 156 times in 130 Documents Cited by ▼ Year ▼ Minimal length uncertainty relation and the hydrogen atom. Zbl 0991.81047Brau, F. 96 1999 Necessary and sufficient conditions for existence of bound states in a central potential. Zbl 1047.81516Brau, Fabian 8 2003 Multiple scales in streamer discharges, with an emphasis on moving boundary approximations. Zbl 1214.82100Ebert, U.; Brau, F.; Derks, G.; Hundsdorfer, W.; Kao, C-Y; Li, C.; Luque, A.; Meulenbroek, B.; Nijdam, S.; Ratushnaya, V.; Schäfer, L.; Tanveer, S. 7 2011 Upper and lower limits on the number of bound states in a central potential. Zbl 1049.81021Brau, Fabian; Calogero, Francesco 5 2003 Upper and lower limits for the number of \(S\)-wave bound states in an attractive potential. Zbl 1062.81146Brau, Fabian; Calogero, Francesco 5 2003 Sufficient conditions for the existence of bound states in a central potential. Zbl 1057.81022Brau, Fabian 4 2004 The three-dimensional Fourier grid Hamiltonian method. Zbl 0898.65064Brau, F.; Semay, C. 4 1998 Upper limit on the number of bound states of the spinless Salpeter equation. Zbl 1063.81051Brau, Fabian 3 2003 Upper limit on the critical strength of central potentials in relativistic quantum mechanics. Zbl 1076.81041Brau, Fabian 3 2005 The quantum \(N\)-body problem and the auxiliary field method. Zbl 1309.81357Silvestre-Brac, Bernard; Semay, Claude; Buisseret, Fabien; Brau, Fabian 3 2010 A moving boundary problem motivated by electric breakdown. I: Spectrum of linear perturbations. Zbl 1175.37077Tanveer, S.; Schäfer, L.; Brau, F.; Ebert, U. 3 2009 Integral equation formulation of the spinless Salpeter equation. Zbl 1001.81024Brau, F. 3 1998 Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation. Zbl 1059.81538Brau, F. 3 1999 A moving boundary model motivated by electric breakdown. II: Initial value problem. Zbl 1193.37102Kao, C.-Y.; Brau, F.; Ebert, U.; Schäfer, L.; Tanveer, S. 3 2010 Lower bounds for the spinless Salpeter equation. Zbl 1362.81034Brau, Fabian 2 2005 Lower limit in semiclassical form for the number of bound states in a central potential. Zbl 1118.81319Brau, Fabian; Calogero, Francesco 2 2004 Critical strength of attractive central potentials. Zbl 1067.81022Brau, Fabian; Lassaut, Monique 2 2004 Multiple scales in streamer discharges, with an emphasis on moving boundary approximations. Zbl 1214.82100Ebert, U.; Brau, F.; Derks, G.; Hundsdorfer, W.; Kao, C-Y; Li, C.; Luque, A.; Meulenbroek, B.; Nijdam, S.; Ratushnaya, V.; Schäfer, L.; Tanveer, S. 7 2011 The quantum \(N\)-body problem and the auxiliary field method. Zbl 1309.81357Silvestre-Brac, Bernard; Semay, Claude; Buisseret, Fabien; Brau, Fabian 3 2010 A moving boundary model motivated by electric breakdown. II: Initial value problem. Zbl 1193.37102Kao, C.-Y.; Brau, F.; Ebert, U.; Schäfer, L.; Tanveer, S. 3 2010 A moving boundary problem motivated by electric breakdown. I: Spectrum of linear perturbations. Zbl 1175.37077Tanveer, S.; Schäfer, L.; Brau, F.; Ebert, U. 3 2009 Upper limit on the critical strength of central potentials in relativistic quantum mechanics. Zbl 1076.81041Brau, Fabian 3 2005 Lower bounds for the spinless Salpeter equation. Zbl 1362.81034Brau, Fabian 2 2005 Sufficient conditions for the existence of bound states in a central potential. Zbl 1057.81022Brau, Fabian 4 2004 Lower limit in semiclassical form for the number of bound states in a central potential. Zbl 1118.81319Brau, Fabian; Calogero, Francesco 2 2004 Critical strength of attractive central potentials. Zbl 1067.81022Brau, Fabian; Lassaut, Monique 2 2004 Necessary and sufficient conditions for existence of bound states in a central potential. Zbl 1047.81516Brau, Fabian 8 2003 Upper and lower limits on the number of bound states in a central potential. Zbl 1049.81021Brau, Fabian; Calogero, Francesco 5 2003 Upper and lower limits for the number of \(S\)-wave bound states in an attractive potential. Zbl 1062.81146Brau, Fabian; Calogero, Francesco 5 2003 Upper limit on the number of bound states of the spinless Salpeter equation. Zbl 1063.81051Brau, Fabian 3 2003 Minimal length uncertainty relation and the hydrogen atom. Zbl 0991.81047Brau, F. 96 1999 Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation. Zbl 1059.81538Brau, F. 3 1999 The three-dimensional Fourier grid Hamiltonian method. Zbl 0898.65064Brau, F.; Semay, C. 4 1998 Integral equation formulation of the spinless Salpeter equation. Zbl 1001.81024Brau, F. 3 1998 all cited Publications top 5 cited Publications all top 5 Cited by 211 Authors 10 Brau, Fabian 6 Faizal, Mir 6 Wang, Peng 5 Ali, Ahmed Farag 5 Semay, Claude 5 Tkachuk, Volodymyr M. 5 Yang, Haitang 4 Feng, Zhongwen 4 Khosropour, Behrooz 4 Pedram, Pouria 4 Samar, M. I. 4 Zu, Xiaotao 3 Buisseret, Fabien 3 Chen, Deyou 3 Dai, Wusheng 3 Ebert, Ute 3 Li, Wen-Du 3 Majumder, Barun 3 Merad, Meriem 3 Moayedi, S. K. 3 Nozari, Kourosh 3 Setare, Mohammad Reza 3 Silvestre-Brac, Bernard 3 Tao, Jun 2 Bonaventura, Zdeněk 2 Bouaziz, Djamil 2 Bourdon, Anne 2 Calogero, Francesco A. 2 Casadio, Roberto 2 Chang, Lay Nam 2 Darabi, Farhad 2 Dossa, Finagnon A. 2 Duarte, Max 2 Falek, Mokhtar 2 Ghosh, Subir 2 Kao, Chiu-Yen 2 Li, Guoping 2 Li, Heling 2 Lu, Fenghua 2 Lv, Bochen 2 Massot, Marc 2 McCue, Scott William 2 Minic, Djordje 2 Moayeri, H. 2 Motavalli, Hossein 2 Moussa, Mohamed 2 Mu, Benrong 2 Nouicer, Khireddine 2 Scardigli, Fabio 2 Schäfer, Lothar 2 Slawny, Joseph 2 Takeuchi, Tatsu 2 Tanveer, Saleh 2 Twagirayezu, Fidele J. 2 Wu, Houwen 2 Zaz, Zaid 2 Zeynali, K. 1 Abbasiyan-Motlaq, Mohammad 1 Abou-Salem, L. I. 1 Abutaleb, Ahmad Adel 1 Aghababaei, Sarah 1 Aguiar, Victor H. 1 Alhaidari, Abdulaziz D. 1 Alhejaili, Weaam 1 Amirfakhrian, M. 1 Assi, Ibsal A. 1 Azizi, Tahereh 1 Back, Julian Michael 1 Bahlouli, Hocine 1 Barbieri, Luca 1 Beesham, Aroonkumar 1 Belfaqih, I. H. 1 Bensalem, Salaheddine 1 Benzair, H. 1 Bernardo, Reginald Christian S. 1 Betrouche, Malika 1 Biswas, Shovon 1 Bjerrum-Bohr, Niels Emil Jannik 1 Bosso, Pasquale 1 Boudjedaa, Tahar 1 Boukhellout, Abdelmalek 1 Caneda, P. I. C. 1 Chargui, Yassine 1 Chemisana, Daniel 1 Chen, Yujie 1 Cheng, Tianhu 1 Choi, Jeong-Ryeol 1 Chung, Won-Sang 1 Costa Filho, Raimundo N. 1 Dallaston, Michael Charles 1 Das, Ashmita 1 Das, Praloy 1 Das, Saurya 1 de Brito, Gustavo P. 1 Descombes, Stéphane 1 Dey, Sanjib 1 Dhahbi, Anis Ben 1 Donoghue, John F. 1 Dumont, Thierry 1 Eghbali, Mohammad Ali ...and 111 more Authors all top 5 Cited in 29 Serials 21 Journal of Mathematical Physics 17 Advances in High Energy Physics 9 International Journal of Modern Physics A 8 Modern Physics Letters A 7 General Relativity and Gravitation 7 International Journal of Theoretical Physics 5 Journal of Computational Physics 5 Physics Letters. B 5 International Journal of Modern Physics D 5 Foundations of Physics 4 Physics Letters. A 4 Journal of High Energy Physics 3 Physica A 3 Theoretical and Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Cosmology and Astroparticle Physics 2 Classical and Quantum Gravity 2 Physica D 2 Annals of Physics 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Statistical Mechanics: Theory and Experiment 1 Nuclear Physics. B 1 International Journal of Mathematics and Mathematical Sciences 1 Acta Applicandae Mathematicae 1 European Journal of Applied Mathematics 1 Living Reviews in Relativity 1 Quantum Information Processing 1 Science in China. Series G 1 Journal of Physical Mathematics all top 5 Cited in 26 Fields 95 Quantum theory (81-XX) 55 Relativity and gravitational theory (83-XX) 13 Partial differential equations (35-XX) 11 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 6 Algebraic geometry (14-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Astronomy and astrophysics (85-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) Citations by Year