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


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 Courses .

CourseProg.TitleKTH Info
SG1102 COPEN Mechanics, Smaller Course SG1102
SG1130 CDEPR Mechanics I SG1130
SG1130 CLGYM-MAFY Mechanics I SG1130
SG1130 CMATD Mechanics I SG1130


Please note that this list might not be complete. Follow each article link for additional authors.

2016Semi-relativistic reflection and transmission coefficients for two spinless particles separated by a rectangular-shaped potential barrier
Commun. Theor. Phys. 66 389–395 (Accepted)
2016Non-Relativistic Phase Shifts for Scattering on Generalized Radial Yukawa Potentials
Commun. Theor. Phys. 65 434–440 (Published)
2015Two-Body Scattering in (1 + 1) Dimensions by a Semi-relativistic Formalism and a Hulth ?en Interaction Potential
Communications in theoretical physics journal  63 423--426 (Published)
2015On Calculations of Legendre Functions and Associated Legendre Functions of the First Kind of Complex Degree
Commun. Theor. Phys. 64 9 (Published)
2014A theoretical study of spin-angular behaviors of potential scattering resonances
Physica Scripta 89 085401 (Published)
2013Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules
J. Math. Chem. 51 227-238 (Published)
2013Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant.
Journal of Mathematical Physics 54 052301 (Accepted)
2012The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating Oscillator
International Journal of Quantum Chemistry 112 2701-2705 (Published)
2012On relativistic shifts of negative-ion resonances
Eur. Phys. J. D 66 7 (Published)
2012Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences  67a 567-71 (Published)
2012Coupled radial Schrödinger equations written as Dirac-type equations: application to an amplitude-phase approach
Journal of Physics A: Mathematical and Theoretical 45 135302 (Published)
2012Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta
Chin. Phys. Lett 29 080302 (Published)
Int. J. Mod. Phys. E E 21 1250097 (Published)
2011Amplitude-phase calculations of Regge poles obtained from coupled radial Dirac equations
J. Phys. A: Math. Theor. 44 275305 (Published)
2011Semiclassical aspects and supersymmetry of bound Dirac states for central pseudo-scalar potentials
Physica Scripta 84 025006 (Published)
2010 Dirac resonance energies for central potentials with different Lorentz-type potential couplings
Physica Scripta 81 035007 (Published)
2008A new amplitude-phase method for analyzing scattering solutions of the radial Dirac equation
Journal of Physics A: Mathematical and Theoretical 41 115304 (Published)
2006Multi-state complex angular momentum residues
J. Phys. A: Math. Gen. 39 11895 (Published)
2005Barrier 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 (Published)
2005An amplitude-phase approach to calculating Regge-pole positions and residues
J. Phys A. 38 5305-5313 (Published)
2005Improved amplitude-phase method for complex angular momentum analysis
J. Phys. A: Math. Gen. 38 7363-7375 (Published)
2005Generalization of the amplitude-phase S-matrix formula for coupled scattering states
J. Phys. A: Math. Gen. 38 1007-1013 (Published)
2004Scattering S-matrix derived from invariants of the Ermakov-Lewis type
J. Phys. A: Math. Gen. 37 L589 (Published)
2002Note on invariants for uncoupled Ermakov systems
J. Phys. A: Math. Gen 35  4359-4362 (Published)
2001Harmonic oscillator subject to parametric pulses: An amplitude (Milne) oscillator approach
J. Phys. A: Math. Gen 34 3497-3510. (Published)
1998Higher-order narrow-tube quantization of quasi-energies
J. Phys. A: Math. Gen 31 2253-2268 (Published)
1998The 'Emarkov-Lewis' invariants for coupled parametric oscillators
J. Phys. A: Math. Gen 31 L279-285 (Published)
1996Monotonic stability.
Chaos, Solitons & Fractals 7 1441-1445 (Published)
1996On transverse stability of synchronized chaotic attractors.
Chaos solitions and fractals 7 1569-1581 (Published)
1996Time-dependent normal form hamiltonian for dynamical equilibra.
J. Phys. A: Math. Gen. 29 3707-3722 (Published)
1996Nonlinear Phase- integral Approximations of stationary waves in nonhomogeneous systems.
J. Phys 30 697-710 (Published)
1995Chaos-Hyperchaos transition.
Chaos, Solitons & Fractals 5 2003-2011 (Published)
1995Semiclassical narrow-tube quantizations of time-periodic Hamiltonian oscillators.
J. Phys. A: Math. Gen. 27 7475-7490 (Published)
1995Tanverse monotic stability of chaotic attractors.
SPIE proceedings. Chaotic circuits for communication 2612 37-47 (Published)
1995Stability transitions of exact periodic responses in undamped Helmholtz and Duffing oscillators.
J. Sound. Vibr. 182 209-220 (Published)
1994Complex angular momentum approach to black hole scattering.
Class. Quantum Grav. 11 2991-3001 (Published)
1994Narrow- tube approximation of semiclassical quasi energies: - application to the weakly non-linear Duffing oscillators.
J. Phys. A: Math. Gen. 27 5673-5684 (Published)
1994Nonperturebative stability analysis of periodic responses in driven nonlinear oscillators.
J. Sound. Vibr.   (Published)
1994On the Regge-pole description of rainbow scattering by means of the phase-integral method.
Phys. Rev 50 1420-1429 (Published)
1994Semiclassical energy quantization of anharmonic potential motion - complex trajectory contributions vs. Higher-order corrections
J. Phys. A: Math. Gen 27 4011-4020 (Published)
1993Complex 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 (Published)
1993Exact quenching phenomenon of undamped, driven Helmholtz and Duffing oscillators.
J. Sound. Vibr. 161 203-211 (Published)
1992In theory and control of dynamical systems - application to system in biology,
World Scientific, Singapore  231-241 (Published)