摘要: The purpose of this paper is to sketch an attack on the general problem representing a composite physical system in terms its constituent parts. For quantum-mechanical systems, traditionally accomplished by forming either direct sums or tensor products Hilbert spaces corresponding component systems. Here, more mathematical construction given which includes standard formalism as special case.
harvard.edu
springer.com
sci-hub.se 参考文章(12)
Raymond F. Streater, Arthur S. Wightman, PCT, spin and statistics, and all that ,(1964)
C. Piron, Foundations of Quantum Physics ,(1976)
D. J. Foulis, C. H. Randall, What are Quantum Logics and What Ought They to be? Current Issues in Quantum Logic. pp. 35- 52 ,(1981) , 10.1007/978-1-4613-3228-2_3
Abner Shimony, G. Cassinelli, E. G. Beltrametti, The logic of quantum mechanics ,(1981)
Sylvia Pulmannová, Tensor product of quantum logics Journal of Mathematical Physics. ,vol. 26, pp. 1- 5 ,(1985) , 10.1063/1.526784
Patricia F. Lock, Gary M. Hardegree, Connections among quantum logics. Part 1. Quantum propositional logics International Journal of Theoretical Physics. ,vol. 24, pp. 43- 53 ,(1985) , 10.1007/BF00670072
Peter Mittelstaedt, Philosophical Problems of Modern Physics ,(1975)
M. F. Janowitz, The near center of an orthomodular lattice Journal of The Australian Mathematical Society. ,vol. 14, pp. 20- 29 ,(1972) , 10.1017/S1446788700009587
Andrew M. Gleason, Measures on the Closed Subspaces of a Hilbert Space Indiana University Mathematics Journal. ,vol. 6, pp. 123- 133 ,(1957) , 10.1007/978-94-010-1795-4_7
M. Kl�y, C. Randall, D. Foulis, Tensor products and probability weights International Journal of Theoretical Physics. ,vol. 26, pp. 199- 219 ,(1987) , 10.1007/BF00668911