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Personal information

Karl-Erik Thylwe

PhD, Docent
Phone: int+46 8 790 71 21
Fax: int+46 8 796 98 50
E-mail: ket@mech.kth.se
WWW: Personal homepage


Education

Doctoral degree in theoretical physics, University of Uppsala

Professional history

Postdoctoral appointments: 2 years at the University of Kaiserslautern, Theoretical atomic and molecular physics. 2 years at the University of Manchester, Theoretical chemistry.

Research and Professional Activities

Research: Asymptotic methods in Classical and Quantum mechanics, Regge-pole theory in potential scattering, Nonlinear phenomena
Teaching: Basic mechanics, Mathematical methods of mechanics, Perturbation methods. Advanced dynamics of complex systems.

Teaching activity

Leader for the following list of courses.
For the complete list of courses at mechanics, see the course page

CourseProg. TitleStudiehandbok
SG1102  OPEN  Mechanics, Smaller Course [swe] [eng]
SG1130  Mechanics I [swe] [eng]
SG1140  Mechanics II [swe] [eng]
SG1130  CL  Mechanics I [swe] [eng]

Publications

Please note that this list might not be complete. Follow each article link for additional authors.
Year Title
2013 Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules
J. Math. Chem. 51 227-238
2013 Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant.
Journal of Mathematical Physics 54 052301
2012 The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating Oscillator
International Journal of Quantum Chemistry 112 2701-2705
2012 On relativistic shifts of negative-ion resonances
Eur. Phys. J. D 66 7
2012 Coupled radial Schrödinger equations written as Dirac-type equations: application to an amplitude-phase approach
Journal of Physics A: Mathematical and Theoretical 45 135302
2012 Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta
Chin. Phys. Lett 29 080302
2012 Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences  67a 567-71
2012 SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC PÖSCHL TELLER POTENTIAL WITH CENTRIFUGAL BARRIER
Int. J. Mod. Phys. E E 21 1250097
2011 Amplitude-phase calculations of Regge poles obtained from coupled radial Dirac equations
J. Phys. A: Math. Theor. 44 275305
2011 Semiclassical aspects and supersymmetry of bound Dirac states for central pseudo-scalar potentials
Physica Scripta 84 025006
2010 Dirac resonance energies for central potentials with different Lorentz-type potential couplings
Physica Scripta 81 035007
2008 A new amplitude-phase method for analyzing scattering solutions of the radial Dirac equation
Journal of Physics A: Mathematical and Theoretical 41 115304
2006 Multi-state complex angular momentum residues
J. Phys. A: Math. Gen. 39 11895
2005 Barrier transmission problem treated by amplitude-phase method and expressed in terms of an invariant of the Ermakov-Lewis type
J. Phys. A: Math. Gen 38 235-243
2005 An amplitude-phase approach to calculating Regge-pole positions and residues
J. Phys A. 38 5305-5313
2005 Improved amplitude-phase method for complex angular momentum analysis
J. Phys. A: Math. Gen. 38 7363-7375
2005 Generalization of the amplitude-phase S-matrix formula for coupled scattering states
J. Phys. A: Math. Gen. 38 1007-1013
2004 Scattering S-matrix derived from invariants of the Ermakov-Lewis type
J. Phys. A: Math. Gen. 37 L589
2002 Note on invariants for uncoupled Ermakov systems
J. Phys. A: Math. Gen 35  4359-4362
2001 Harmonic oscillator subject to parametric pulses: An amplitude (Milne) oscillator approach
J. Phys. A: Math. Gen 34 3497-3510.
1998 Higher-order narrow-tube quantization of quasi-energies
J. Phys. A: Math. Gen 31 2253-2268
1998 The 'Emarkov-Lewis' invariants for coupled parametric oscillators
J. Phys. A: Math. Gen 31 L279-285
1996 Monotonic stability.
Chaos, Solitons & Fractals 7 1441-1445
1996 On transverse stability of synchronized chaotic attractors.
Chaos solitions and fractals 7 1569-1581
1996 Time-dependent normal form hamiltonian for dynamical equilibra.
J. Phys. A: Math. Gen. 29 3707-3722
1996 Nonlinear Phase- integral Approximations of stationary waves in nonhomogeneous systems.
J. Phys 30 697-710
1995 Chaos-Hyperchaos transition.
Chaos, Solitons & Fractals 5 2003-2011
1995 Semiclassical narrow-tube quantizations of time-periodic Hamiltonian oscillators.
J. Phys. A: Math. Gen. 27 7475-7490
1995 Tanverse monotic stability of chaotic attractors.
SPIE proceedings. Chaotic circuits for communication 2612 37-47
1995 Stability transitions of exact periodic responses in undamped Helmholtz and Duffing oscillators.
J. Sound. Vibr. 182 209-220
1994 Complex angular momentum approach to black hole scattering.
Class. Quantum Grav. 11 2991-3001
1994 Narrow- tube approximation of semiclassical quasi energies: - application to the weakly non-linear Duffing oscillators.
J. Phys. A: Math. Gen. 27 5673-5684
1994 On the Regge-pole description of rainbow scattering by means of the phase-integral method.
Phys. Rev 50 1420-1429
1994 Nonperturebative stability analysis of periodic responses in driven nonlinear oscillators.
J. Sound. Vibr.  
1994 Semiclassical energy quantization of anharmonic potential motion - complex trajectory contributions vs. Higher-order corrections
J. Phys. A: Math. Gen 27 4011-4020
1993 Complex angular momentum theory of molecular collisions - new phase rules for rotationally inelastic diffraction scattering in atom-homonuclear diatomic molecule collisions
J. Chem. Phys. 98 2947-2961
1993 Exact quenching phenomenon of undamped, driven Helmholtz and Duffing oscillators.
J. Sound. Vibr. 161 203-211
1992 In theory and control of dynamical systems - application to system in biology,
World Scientific, Singapore  231-241
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webmaster@mech.kth.se

Last changed: 2006-08-24