Karl-Erik Thylwe

PhD, Docent
Telefon: int+46 8 790 71 21
Telefax: int+46 8 796 98 50
Email: ket@mech.kth.se
WWW: Personlig websida


Doctoral degree in theoretical physics, University of Uppsala

Yrkesmässig historia

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

Forskning och yrkesmässig verksamhet

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.


Ansvarig för följande kurser.
För en fullständig lista över institutionens kurser se Kurser .

KursProg.TitelKTH info
SG1102 COPEN Mechanics, Smaller Course SG1102
SG1130 CDEPR Mechanics I SG1130
SG1130 CLGYM-MAFY Mechanics I SG1130
SG1130 CMATD Mechanics I SG1130


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