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Autor:
Jones, K. R. W.
Working notes on setting up approximate dynamical systems and nonlinear eigenvalue problems, here embedded within the theory of complex nonlinear dynamics. Computations parallel those of linear quantum theory except that we use functional methods rat
Externí odkaz:
http://arxiv.org/abs/1312.6396
Autor:
Jones, K. R. W.
We introduce a simple deformed quantization prescription that interpolates the classical and quantum sectors of Weinberg's nonlinear quantum theory. The result is a novel classical limit where $\hbar$ is kept fixed while a dimensionless mesoscopic pa
Externí odkaz:
http://arxiv.org/abs/1312.4195
Autor:
Jones, K. R. W.
Using a new state-dependent, $\lambda$-deformable, linear functional operator, ${\cal Q}_{\psi}^{\lambda}$, which presents a natural $C^{\infty}$ deformation of quantization, we obtain a uniquely selected non--linear, integro--differential Generalize
Externí odkaz:
http://arxiv.org/abs/1212.6784
Autor:
Jones, K. R. W.
Using a simple geometrical construction based upon the linear action of the Heisenberg--Weyl group we deduce a new nonlinear Schr\"{o}dinger equation that provides an exact dynamic and energetic model of any classical system whatsoever, be it integra
Externí odkaz:
http://arxiv.org/abs/1212.6786
Autor:
Jones, K. R. W.
Optical phase measurement is a simple example of a quantum--limited measurement problem with important applications in metrology such as gravitational wave detection. The formulation of optimal strategies for such measurements is an important test-be
Externí odkaz:
http://arxiv.org/abs/1212.3739
Autor:
Jones, K. R. W.
Publikováno v:
Austral.J.Phys.48:1055-1081,1995
Puts forward a complete scenario for interpreting nonlinear field theories highlighting the role played by gravitational self--energy in enabling a consistent revival of the Schroedinger approach to unifying micro and macro physics.
Comment: 38
Comment: 38
Externí odkaz:
http://arxiv.org/abs/quant-ph/9507001
Autor:
Jones, K. R., Garcia, G. W.
Publikováno v:
Brazilian Journal of Biology; 2023, Vol. 83, p1-6, 6p
Autor:
Jones, K. R., Garcia, G. W.
Publikováno v:
Brazilian Journal of Biology; 2023, Vol. 83, p1-10, 10p