Publications for Jonathan Gratus


 J Gratus, C J Lambert, S J Robinson and R W Tucker
Quantum Mechanics on Graphs
J. Phys. A: Math. Gen. 27, (1994) 6881 - 6892
J Gratus, R W Tucker
Topology Change and the Propagation of Massless Fields
J. Math. Phys. 36 (7), (1995) 3353 - 3376
gr-qc/9502016
J Gratus,
Scalar fields and signature change in two dimensions
PhD Thesis. Lancaster University. (1995)
J Gratus, R W Tucker
Classical and Quantum Implications of the Causality Structure of
Two-dimensional Spacetimes with Degenerate Metrics.
J. Math. Phys. 37 (12), (1996) 6018 - 6032
gr-qc/9606065
J Gratus
A Natural Basis of States for the Noncommutative Sphere and its Moyal Bracket
J. Maths. Phys,  38 (8), (1997) 4283 - 4300
q-alg/9703038
J Gratus
Non Commutative Differential Geometry, and the matrix Representations of Generalised Algebras.
J. Geometry Phys. 25, (1998) 227-244
q-alg/9703034
J Gratus
A Natural Basis for Spinor and Vector Fields on the Noncommutative Sphere
J. Maths. Phys, 39 (4), (1998) 2306-2324
q-alg/9708003
J Gratus
``Wick Rotations'': The Noncommutative Hyperboloids and Other Surfaces of Rotations
Lett. Maths. Phys,  47 (4), (1999) 97-109
q-alg/9801036
J Gratus, R W Tucker
A quantum geometric description of a q-brane with intrinsic spin
Nuclear Phys. B (Proc. Suppl.) 88, (2000) 349-354
J Gratus, R W Tucker
Nets of One Dimensional Cosserat Continua
5th International Seminar on Geometry, Continua and Microstructures.
Eds S. Cleja-Tigoiu, V. Tigoiu. (2002) 91-104
J Gratus, R W Tucker
An Improved Method of Gravicraft Propulsion 
Acta Astronautica 53, (2003) 161-172
J Gratus, R W Tucker
Dynamics of Cosserat Nets
Journal of Applied Mathematics 4, (2003) 187-226
J G Gratus, R W Tucker,
LINCOSS, A Maple program for the Mode Analysis of Cosserat Nets, 
Lancaster University,  2002.
J Gratus
A Noncommutative Geometric Analysis of a Sphere/Torus Topology Change
J. Geometry Phys. 49, (2004) 156-175
math.QA/0304427
D A Burton, J Gratus, R W Tucker
Hydrodynamic forces on two moving discs.
Theoretical and applied mechanics 31(2), (2004) 153-188
J Gratus, T Porter
A spatial view of information
Theo Comp Sci  365 (3)  (2006)  206-215
 D A Burton, J Gratus, R W Tucker,
The Electrodynamics of Charged Continua
Proc. Global Integrability of Field Theories 2006. 155-177 Universitätsverlag Karlsruhe
http://www.cockcroft.ac.uk/papers/Cockcroft-06-77.pdf
T Dereli, J G Gratus, R W Tucker,
The covariant description of electromagnetically polarizable media
Phys Lett A 361(3) (2007) 190-193
PDF
D Burton, J G Gratus, R W Tucker,
Asymptotic analysis of ultra-relativistic charge
http://www.cockcroft.ac.uk/papers/Cockcroft-06-07.pdf
D Burton, J G Gratus, R W Tucker,
Asymptotic analysis of ultra-relativistic charge
Annal Phys. 322(3) (2007) 599-630
http://dx.doi.org/10.1016/j.aop.2006.05.009
D Burton, J G Gratus, R W Tucker,
Multiple currents in charged continua
J Phys A (Math and Theo) 40(4) (2007) 811-829
http://www.iop.org/EJ/abstract/1751-8121/40/4/016
T Dereli, J G Gratus, R W Tucker
New perspectives on the relevance of gravitation for the covariant description of electromagnetically polarizable media
J Phys A (Math and Theo) 40(21) (2007) 5695-5715
http://www.cockcroft.ac.uk/papers/Cockcroft-07-01.pdf