J. Simon's research while affiliated with KTH Royal Institute of Technology and other places
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Publications (3)
A generalization of Wightman field theory is formulated which makes the theory also applicable to the gravitational field. Strongly geodesically complete manifolds are found to be the most suitable for description of curved space-time in our approach. After the formulation of generalized axioms, the schemes of proofs of the fundamental theorems of...
Citations
... Let us survey the extension to quantum mechanics of the theory of Lie systems [3]. On a finite-dimensional manifold N, every finite-dimensional real Lie algebra V of vector fields on N can be integrated to give rise to a local Lie group action on N. If N is an infinite-dimensional manifold, additional technical conditions on V may be necessary to integrate V so as to give rise to a local Lie group action on N. In particular, we are interested in the integration to a Lie group action of finite-dimensional real Lie algebras of vector fields induced by skew-Hermitian operators on (possibly infinite-dimensional) manifolds (see [39][40][41] for details). In all cases studied in this work, V can be found to be integrable to a local Lie group action. ...
... 91 In cooperation with D. Hartley he developed an approach of his own to Weyl geometric gravity evolving form investigations in Kaluza-Klein theories (Drechsler/Hartley,88 Remember that the ϕ terms of scale covariant derivatives in the Lagrangian of spinor fields cancel. 89 More than a decade earlier Flato had sketched a covariant ("curved space") generalization of the Wightman axioms (Flato/Simon, 1972), different from the one discussed by R. Wald in this volume. ...