List of publications in

international peer reviewed journals

by, or co-authored by, Hanno Essén

 

73. H. Essén
Equations of Motion of Interacting Classical Charged Particles and the Motion of an Electron outside a Long Solenoid
Progress In Electromagnetics Research B 100 (2023) pp. 39-53.

 

72. Johan C.-E. Stén and H. Essén
On the evaluation of electrostatic energy of volume charge distributions and the role of the Coulomb singularity
Mathematics and Computers in Simulation 205 (2023) pp. 987-996

 

71. H. Essén and Johan C.-E. Stén
Difference in Coulomb Electrostatic Energy for Localized versus Delocalized Electrons and Electron Pairs—Exact Results Based on Cubic Charge Distributions
AppliedMath (2022) pp. 131-142.

 

70. H. Essén
Magnetic energy, superconductivity, and dark matter
Progress in Physics 16 (2020) pp. 29-32

 

69. Johan C.-E. Stén and H. Essén
On a tendency of the magnetic field to maximise its energy
European Journal of Physics 40 (2019) pp. 035202—1-9

 

68. H. Essén and Johan C.-E. Stén
The Magnetic Interaction Energy between an Infinite Solenoid and a Passing Point Charge
Progress In Electromagnetics Research M 71 (2018) pp. 145-156.

 

67. Arne B. Nordmark and H. Essén
Reply to Comment on ‘An impacting linear three body system’
European Journal of Physics 39 (2018) pp. 038002—1-1.

 

66. H. Essén and Arne B. Nordmark
A simple model for the falling cat problem
European Journal of Physics 39 (2018) pp. 035002--1-8.

 

65. H. Essén
An exact formula for the electromagnetic momentum in terms of the charge density and the Coulomb gauge vector potential
European Journal of Physics 39 (2018) pp. 025202--1-9.

 

64. Arne B. Nordmark and H. Essén
An impacting linear three body system
European Journal of Physics 39  (2018) pp. 015001—1-14.

 

63. H. Essén and Arne B. Nordmark
Drift velocity of charged particles in magnetic fields and its relation to the direction of the source current
The European Physical Journal D 70 (2016) pp. 198—1-10.

 

62. Miguel C. N. Fiolhais, H. Essén and Tomé M. Gouveia
A variational proof of Thomson’s theorem
Physics Letters A 380 (2016) pp. 2703-2705.

 

61. H. Essén and Arne B. Nordmark
Relativistic version of the Feynman–Dyson–Hughes derivation of the Lorentz force law and Maxwell’s homogeneous equations
European Journal of Physics 37 (2016) pp. 055201—1-8.

 

60. H. Essén
Comment on ‘Modeling the magnetic dipole’
European Journal of Physics 37 (2016) pp. 058001—1-2.

 

59. H. Essén and Johan C.-E. Sten
A new look at the pushing force of an electromagnetic wave on a classical charged particle
European Journal of Physics 36 (2015) pp. 055029—1-14.

 

58. H. Essén
Gravitationally bound ideal gas sphere in Newtonian and in Einsteinian gravity
European Journal of Physics 35 (2014) pp. 065003--1-8.

 

57. H. Essén
Gravitational Lagrangians, Mach’s principle, and the equivalence principle in an expanding universe
Journal of Gravity 2014 (2014) pp. 415649--1-5.

 

56. H. Essén
The Physics of Rotational Flattening and the Point Core Model
International Journal of Geosciences 5 (2014) pp. 555-570.

 

55. Miguel C. N. Fiolhais and H. Essén
Magnetic field expulsion from an infinite cylindrical superconductor
Physica C 497 (2014) pp. 54-57.

 

54. Miguel C. N. Fiolhais and H. Essén
Electrodynamics of perfect conductors
International Journal of Theoretical Physics 52 (2013) pp. 1701-1705.

 

53. H. Essén, Johan C.-E. Sten and Arne B. Nordmark
Magnetic energy of surface currents on a torus
Progress In Electromagnetics Research B 46 (2013) pp. 357-378.

 

52. H. Essén
Mechanics, cosmology, and Mach's principle
European Journal of Physics 34 (2013) pp. 139-145.

 

51. Miguel C. N. Fiolhais and H. Essén
Electromagnetic wave scattering by a superconductor
Europhysics Letters (EPL) 97 (2012) pp. 4406--1-3.

 

50. H. Essén and Miguel C. N. Fiolhais
Meissner effect, diamagnetism, and classical physics -- a review
American Journal of Physics 80 (2012) pp. 164-169.

 

49. H. Essén
Classical diamagnetism, magnetic interaction energies, and repulsive forces in magnetized plasmas

Europhysics Letters (EPL) 94 (2011) pp. 47003-1-5.

 

48. Miguel C. N. Fiolhais, H. Essén, C. Providencia and Arne B. Nordmark
Magnetic field and current are zero inside ideal conductors
Progress In Electromagnetics Research B 27 (2011) pp. 187-212.

 

47. Arne B. Nordmark and H. Essén
The comfortable roller coaster— on the shape of tracks with a constant normal force
European Journal of Physics 31 (2010) pp. 1307-1317.

 

46. H. Essén and Arne B. Nordmark
Static deformation of heavy spring due to gravity and centrifugal force
European Journal of Physics 31 (2010) pp. 603-609.

 

45. H. Essén
From least action in electrodynamics to magnetomechanical energy — a review
European Journal of Physics 30 (2009) pp. 515-539.

 

44. H. Essén and Nicholas Apazidis
Turning points of the spherical pendulum and the golden ratio
European Journal of Physics 30 (2009) pp. 427-432.

 

43. H. Essén
Magnetic energy per particle in constant current density

Europhysics Letters (EPL) 84 (2008) pp. 20011--1-5.

 

42. H. Essén
The exact Darwin Lagrangian

Europhysics Letters (EPL) 79 (2007) pp. 60002--1-3.

 

41. H. Essén
Matrix analysis of coupled damped vibrations --two degree-of-freedom analytic solution
International Journal of Pure and Applied Mathematics 36 (2007) pp. 115-146.

 

40. Arne B. Nordmark and H. Essén
The skipping rope curve
European Journal of Physics 28 (2007) pp. 241-247.

 

39. H. Essén

Magnetic dynamics of simple collective modes in a two sphere plasma model

Physics of Plasmas 12 (2005) pp. 1222101--1-7.

 

38. H. Essén
Electrodynamic model connecting superconducting response to magnetic field and to rotation
European Journal of Physics 26 (2005) pp. 279-285.

 

37. H. Essén
Magnetohydrodynamic self-consistent exact helical solutions
Journal of Physics A: Mathematical and General 37 (2004) pp. 9831- 9840.

 

36. H. Essén and Arne B. Nordmark
Hamiltonian of a homogeneous two-component plasma
Physical Review E 69 (2004) pp. 036404--1-9. 

 

35. Karl I. Borg, Lars H. Söderholm, and H. Essén
Force on a spinning sphere moving in a rarefied gas
Physics of Fluids 15 (2003) pp. 736-741.

 

34. H. Essén
Note on the relativistic elastic head-on collision
European Journal of Physics 23 (2002) pp. 565-568.

 

33. H. Essén
On the equilateral triangle solutions to the three-body problem
European Journal of Physics 21 (2000) pp. 579-590.

 

32. H. Essén
Magnetism of Matter and Phase Space Energy of Charged Particle Systems
Journal of Physics A: Mathematical and General 32 (1999) pp. 2297-2314.

 

31. Arne B. Nordmark and H. Essén
Systems with a preferred spin direction
Proceedings of the Royal Society of London, A, Mathematical and Physical Sciences 455 (1999) pp. 933-941.

 

30. H. Essén
The field outside a spherical $2^l$-pole distribution is a pure $2^l$-pole field
American Journal of Physics 66 (1998) p. 163.

 

29. H. Essén
The Interior Schwarzschild Problem and its Integration
International Journal of Theoretical Physics 37 (1998) pp. 875-889.

 

28. H. Essén
Phase space energy of charged particles with negligible radiation; proof of spontaneous magnetic structures and new effective forces
Physical Review E 56 (1997) pp. 5858-5865.

 

27. H. Essén
A Simple Mechanical Model for the Shape of the Earth
European Journal of Physics 17 (1996) pp. 131-135.

 

26. H. Essén and Mats Svensson
Calculation of Coordinates from Molecular Geometric Parameters and the Concept of a Geometric Calculator
Computers & Chemistry 20 (1996) pp. 389-395.

 

25. H. Essén
The Darwin Magnetic Interaction Energy and its Macroscopic Consequences
Physical Review E 53 (1996) pp. 5228-5239.

 

24. H. Essén and Arne B. Nordmark
Some Results on the Electrostatic Energy of Ionic Crystals
Canadian Journal of Chemistry 74 (1996) pp. 885-891.

 

23. H. Essén
A Study of Lattice and Magnetic Interactions of Conduction Electrons
Physica Scripta 52 (1995) pp. 388-394.

 

22. H. Essén
On the Geometry of Non-holonomic Dynamics
Journal of Applied Mechanics 61 (1994) pp. 689-694

 

21. H. Essén
Average Angular Velocity
European Journal of Physics 14 (1993) pp. 201-205

 

20. H. Essén
Empirical and Theoretical Evidence for Gravitational Polarization of Matter
Physica Scripta 45 (1992) pp. 22-25.

 

19. H. Essén
General Relativity as a Conformally Invariant Scalar Gauge Field Theory
International Journal of Theoretical Physics 29 (1990) pp. 183-187.

 

18. H. Essén
Magnetic Fields, Rotating Atoms and the Origin of Diamagnetism
Physica Scripta 40 (1989) pp. 761-767.

 

17. H. Essén
A New Completly Separable Molecule-like Fourbody System
Physics Letters A 133 no 1,2 (1988) pp. 56-58.

 

16. J. Blomquist and H. Essén
Correlation and the Charge Distribution of Atoms
Chemical Physics 112 (1987) pp. 173-177.

 

15. H. Essén
Space-time Curvature and the Sources of Gravity
European Journal of Physics 8 (1987) pp. 182-185.

 

14. H. Essén
Correlation with Independent Particle Orbitals
International Journal of Quantum Chemistry XXX (1986) pp. 89-95.

 

13. H. Essén and D. Cremer
On the Relationship Between the Mean Plane and the Least-Squares Plane of an N-membered Puckered Ring
Acta Crystallographica B 40 (1984) pp. 418-420.

 

12. R. F. W. Bader and H. Essén
On the Characterization of Atomic Interactions
Journal of Chemical Physics 80 (1984) pp. 1943-1960.

 

11. M. S. Child, H. Essén and R. J. Le Roy
An RKR-like Inversion Procedure for Bound-Continuum Transition Intensities
Journal of Chemical Physics 78 (1983) pp. 6732-6740.

 

10. H. Essén
The Effective Shell Charge of Electrons on a Sphere: A Discussion of Hund's Rules, Negative Ions and the Chemical Bond
Theoretica Chimica Acta (Berl.) 63 (1983) pp. 365-376.

 

9. H. Essén
On the General Transformation from Molecular Geometric Parameters to Cartesian Coordinates
Journal of Computational Chemistry 4 (1983) pp. 136-141.

 

8. T. T. Nguyen-Dang, R. F. W. Bader and H. Essén
Some Properties of the Lagrange Multiplier µ in Density Functional Theory
International Journal of Quantum Chemistry XXII (1982) pp. 1049-58.

 

7. H. Essén
The Periodic Table of the Elements and the Thomas-Fermi Atom
International Journal of Quantum Chemistry XXI (1982) pp. 717-726.

 

6. H. Essén
Particle Kinematics in a Unified Geometric Description of all Fields
Il Nuovo Cimento 66B (1981) pp. 1-8.

 

5. H. Essén
The Cat Landing on its Feet Revisited or Angular Momentum Conservation and Torque-free Rotations of Non-rigid Mechanical Systems
American Journal of Physics 49 (1981) pp. 756-758.

 

4. H. Essén
Vibration-Rotation Coupling in Polyatomic Molecules: Additions to the Eckart Conditions
Chemical Physics 44 (1979) pp. 373-388.

 

3. H. Essén
Quantization and Independent Coordinates
American Journal of Physics 46 (1978) pp. 983-988.

 

2. H. Essén
The Physics of the Born-Oppenheimer Approximation
International Journal of Quantum Chemistry XII (1977) pp. 721-735.

 

1. H. Essén, G. D. Billing and M. Baer
Comparison of Quantum Mechanical and Quasi-Classical Calculations of Collinear Reaction Rate Constants for the H+Cl_2 and D+Cl_2 Systems
Chemical Physics 17 (1976) pp. 443-449.