Edit Profile (opens in new tab) Kröger, Helmut Co-Author Distance Author ID: kroger.helmut Published as: Kröger, H.; Kröger, Helmut; Kroeger, Helmut more...less Documents Indexed: 41 Publications since 1980 Co-Authors: 40 Co-Authors with 29 Joint Publications 201 Co-Co-Authors all top 5 Co-Authors 12 single-authored 17 Moriarty, Kevin J. M. 13 Luo, Xiangqian 10 Melkonyan, Gurgen G. 7 Jirari, Hamza 4 Caron, L. A. 4 Laprise, J.-F. 4 Nadeau, L. P. 3 Huard, David 3 Zomorrodi, R. 2 Hosseinizadeh, A. 2 Lantagne, S. 2 Rubin, Sergey G. 2 Scheu, N. 1 Blondeau-Fournier, Olivier 1 Burra, A. 1 Chang, Di 1 Cheng, Xiao-Ni 1 Dubé, Louis J. 1 Endress, E. 1 Fenske, Christian Clements 1 Girard, Ralph 1 Golse, G. 1 Guo, Shuo-Hong 1 Jiang, Junqin 1 Lamy-Poirier, Joël 1 Li, Jie-Ming 1 Li, Yongyao 1 Lin, Yin 1 Liu, Jinming 1 McBreen, Michael Ben 1 Mei, Zhonghao 1 Perne, Rainer 1 Plache, B. 1 Simard, D. 1 Smailagic, Anais 1 St.-Louis, P. Y. 1 Wang, Yuli 1 Wu, Chi-Min 1 Xu, Hao 1 Yang, Jie-Chao all top 5 Serials 11 Physics Letters. A 7 Journal of Mathematical Physics 3 Nuclear Physics. B. Proceedings Supplements 2 Modern Physics Letters A 2 Communications in Theoretical Physics 1 General Relativity and Gravitation 1 Journal of Computational Physics 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Journal of Physics A: Mathematical and General 1 Discrete and Continuous Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Canadian Journal of Physics 1 Science in China. Series G all top 5 Fields 33 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 45 times in 29 Documents Cited by ▼ Year ▼ Fastest learning in small-world neural networks. Zbl 1136.68504 Simard, D.; Nadeau, L.; Kröger, H. 5 2005 A Hilbert space approach to the Lippmann-Schwinger equation in momentum representation. Zbl 0476.47033 Kroeger, Helmut; Fenske, Christian C. 3 1980 Strong approximation of wave operators for short range and Coulomb interactions. Zbl 0518.47009 Kroeger, Helmut 3 1983 Measuring the Hausdorff dimension of quantum mechanical paths. Zbl 1020.81932 Kröger, H.; Lantagne, S.; Moriarty, K. J. M.; Plache, B. 3 1995 Quantum chaos at finite temperature. Zbl 0970.81020 Caron, L. A.; Jirari, H.; Kröger, H.; Luo, X. Q.; Melkonyan, G.; Moriarty, K. J. M. 3 2001 Monte Carlo Hamiltonian from stochastic basis. Zbl 0996.81120 Huang, C. Q.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 3 2002 Cosmological dynamics of scalar field with non-minimal kinetic term. Zbl 1058.83023 Kröger, H.; Melkonyan, G.; Rubin, S. G. 3 2004 Is quantum chaos weaker than classical chaos? Zbl 1118.81321 Caron, L. A.; Huard, D.; Kröger, H.; Melkonyan, G.; Moriarty, K. J. M.; Nadeau, L. P. 2 2004 Finite rank approximation of wave operators for short-range and Coulomb interactions. Zbl 0557.35103 Kröger, Helmut 2 1984 Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension. Zbl 0962.81517 Kröger, H. 2 1997 Bound states and critical behavior of the Yukawa potential. Zbl 1101.81053 Li, Yongyao; Luo, Xiangqian; Kröger, Helmut 2 2006 Thermodynamical observables in a finite temperature window from the Monte Carlo Hamiltonian. Zbl 1139.82319 Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 2 2003 New way to compute excited states and thermodynamics: Monte Carlo hamiltonian. Zbl 1097.82535 Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 2 2003 Monte Carlo Hamiltonian of lattice gauge theory. Zbl 1127.81333 Paradis, F.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 1 2007 A theorem on A-proper mappings and its application in scattering theory. Zbl 0487.47013 Kroeger, Helmut; Perne, Rainer 1 1982 Universality in level spacing fluctuations of a chaotic optical billiard. Zbl 1236.37025 Laprise, J. F.; Hosseinizadeh, A.; Lamy-Poirier, J.; Zomorrodi, R.; Kröger, J.; Kröger, H. 1 2010 On the wave operator in few-body quantum scattering with Coulomb-like interactions. Zbl 0558.35071 Kröger, Helmut 1 1985 Quantum instantons and quantum chaos. Zbl 0984.81049 Jirari, H.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M.; Rubin, S. G. 1 2001 Quantum chaos versus classical chaos: why is quantum chaos weaker? Zbl 1096.81009 Kröger, H.; Laprise, J.-F.; Melkonyan, G.; Zomorrodi, R. 1 2006 Why are probabilistic laws governing quantum mechanics and neurobiology? Zbl 1069.81003 Kröger, Helmut 1 2005 Monte Carlo Hamiltonian: inverse potential. Zbl 1167.81307 Luo, Xiang-Qian; Cheng, Xiao-Ni; Kröger, Helmut 1 2004 \((3+1)\)-dimensional quantum mechanics from Monte Carlo Hamiltonian: harmonic oscillator. Zbl 1164.81307 Luo, Xiang-Qian; Xu, Hao; Yang, Jie-Chao; Wang, Yu-Li; Chang, Di; Lin, Yin; Kröger, Helmut 1 2001 Renormalisation in quantum mechanics. Zbl 0999.81025 Jirari, H.; Kröger, H.; Luo, X. Q.; Melkonyan, G.; Moriarty, K. J. M. 1 2002 Universality in level spacing fluctuations of a chaotic optical billiard. Zbl 1236.37025 Laprise, J. F.; Hosseinizadeh, A.; Lamy-Poirier, J.; Zomorrodi, R.; Kröger, J.; Kröger, H. 1 2010 Monte Carlo Hamiltonian of lattice gauge theory. Zbl 1127.81333 Paradis, F.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 1 2007 Bound states and critical behavior of the Yukawa potential. Zbl 1101.81053 Li, Yongyao; Luo, Xiangqian; Kröger, Helmut 2 2006 Quantum chaos versus classical chaos: why is quantum chaos weaker? Zbl 1096.81009 Kröger, H.; Laprise, J.-F.; Melkonyan, G.; Zomorrodi, R. 1 2006 Fastest learning in small-world neural networks. Zbl 1136.68504 Simard, D.; Nadeau, L.; Kröger, H. 5 2005 Why are probabilistic laws governing quantum mechanics and neurobiology? Zbl 1069.81003 Kröger, Helmut 1 2005 Cosmological dynamics of scalar field with non-minimal kinetic term. Zbl 1058.83023 Kröger, H.; Melkonyan, G.; Rubin, S. G. 3 2004 Is quantum chaos weaker than classical chaos? Zbl 1118.81321 Caron, L. A.; Huard, D.; Kröger, H.; Melkonyan, G.; Moriarty, K. J. M.; Nadeau, L. P. 2 2004 Monte Carlo Hamiltonian: inverse potential. Zbl 1167.81307 Luo, Xiang-Qian; Cheng, Xiao-Ni; Kröger, Helmut 1 2004 Thermodynamical observables in a finite temperature window from the Monte Carlo Hamiltonian. Zbl 1139.82319 Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 2 2003 New way to compute excited states and thermodynamics: Monte Carlo hamiltonian. Zbl 1097.82535 Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 2 2003 Monte Carlo Hamiltonian from stochastic basis. Zbl 0996.81120 Huang, C. Q.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M. 3 2002 Renormalisation in quantum mechanics. Zbl 0999.81025 Jirari, H.; Kröger, H.; Luo, X. Q.; Melkonyan, G.; Moriarty, K. J. M. 1 2002 Quantum chaos at finite temperature. Zbl 0970.81020 Caron, L. A.; Jirari, H.; Kröger, H.; Luo, X. Q.; Melkonyan, G.; Moriarty, K. J. M. 3 2001 Quantum instantons and quantum chaos. Zbl 0984.81049 Jirari, H.; Kröger, H.; Luo, X. Q.; Moriarty, K. J. M.; Rubin, S. G. 1 2001 \((3+1)\)-dimensional quantum mechanics from Monte Carlo Hamiltonian: harmonic oscillator. Zbl 1164.81307 Luo, Xiang-Qian; Xu, Hao; Yang, Jie-Chao; Wang, Yu-Li; Chang, Di; Lin, Yin; Kröger, Helmut 1 2001 Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension. Zbl 0962.81517 Kröger, H. 2 1997 Measuring the Hausdorff dimension of quantum mechanical paths. Zbl 1020.81932 Kröger, H.; Lantagne, S.; Moriarty, K. J. M.; Plache, B. 3 1995 On the wave operator in few-body quantum scattering with Coulomb-like interactions. Zbl 0558.35071 Kröger, Helmut 1 1985 Finite rank approximation of wave operators for short-range and Coulomb interactions. Zbl 0557.35103 Kröger, Helmut 2 1984 Strong approximation of wave operators for short range and Coulomb interactions. Zbl 0518.47009 Kroeger, Helmut 3 1983 A theorem on A-proper mappings and its application in scattering theory. Zbl 0487.47013 Kroeger, Helmut; Perne, Rainer 1 1982 A Hilbert space approach to the Lippmann-Schwinger equation in momentum representation. Zbl 0476.47033 Kroeger, Helmut; Fenske, Christian C. 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 7 Kröger, Helmut 3 Cafaro, Carlo 3 Giffin, Adom 2 Ali, Sean Alan 2 Bronnikov, Kirill A. 2 El Naschie, Mohamed Saladin 2 Luo, Xiangqian 1 Artemyev, Anton V. 1 Azreg-Ainou, Mustapha 1 Badalov, Kodir 1 Bérard, Alain 1 Bertram, Barbara S. 1 Calcagni, Gianluca 1 Castro, Nichol 1 Chu, Minghui 1 Donskoy, E. V. 1 Erkaymaz, Okan 1 Gassner, Steven 1 Gosselin, Pierre 1 Grimsmo, Arne L. 1 Hosseinizadeh, A. 1 Ibadov, Rustam 1 Iliopoulos, Aggelos C. 1 Karakatsanis, L. P. 1 Klauder, John Rider 1 Kuvshinov, Vyatcheslav I. 1 Kuzmin, Andrey V. 1 Laprise, J.-F. 1 Li, Wenjing 1 Li, Xiaohu 1 Li, Yongyao 1 Lupo, Cosmo 1 Mancini, Stefano 1 McBreen, Michael Ben 1 Melkonyan, Gurgen G. 1 Mohrbach, Hervé 1 Moriarty, Kevin J. M. 1 Napsuciale, Mauro 1 Nardelli, Giuseppe 1 Neĭshtadt, Anatoliĭ Iserovich 1 Nottale, Laurent 1 Ozer, Mahmut 1 Pavlos, E. G. 1 Pavlos, Georgios P. 1 Perc, Matjaž 1 Piatrou, Vadzim A. 1 Qiao, Junfei 1 Rodríguez, Simón 1 Sarafopoulos, D. V. 1 Scalisi, Marco 1 Scheu, N. 1 Siew, Cynthia S. Q. 1 Skagerstam, Bo-Sture K. 1 Song, Aiguo 1 Wang, Sunan 1 Xenakis, M. N. 1 Xu, Baoguo 1 Xu, Feng 1 Yang, Renhuan 1 Zhang, Jinhua all top 5 Cited in 20 Serials 5 Journal of Mathematical Physics 3 Chaos, Solitons and Fractals 2 Modern Physics Letters A 2 Physics Letters. B 2 Gravitation & Cosmology 1 Modern Physics Letters B 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Physica A 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Neural Networks 1 Open Systems & Information Dynamics 1 Chaos 1 Journal of Applied Mathematics 1 Entropy 1 Science in China. Series G 1 Advances in Mathematical Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 18 Fields 17 Quantum theory (81-XX) 5 Relativity and gravitational theory (83-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year