caa a22 4500 465810012 CHVBK 20180323112113.0 cr unu---uuuuu 170327e19901001xx s 000 0 eng 10.1007/BF02820569 doi (NATIONALLICENCE)springer-10.1007/BF02820569 Parravicini G. Dipartimento di Fisica dell'Università, Via Celoria 16, I-20133, Milano aut Schrödinger Hamiltonians as affine connections [Elektronische Daten] [G. Parravicini] Summary: The transformations of ordinary quantum mechanics between reference frames in arbitrary relative motion are derived by using the theorem on the uniqueness of the irreducible representations of finitely many CCR. In the course of the derivation, it is found that the Hamiltonian is the affine connection coefficient for a gauge theory in which the base manifold is time and the fibre is the group of all unitary operators on the Hilbert space of states. It follows that Schrödinger equation is covariant with respect to this gauge group. This includes the transformations between reference frames, and the gauge transformations of the scalar and vector potentials, so that Schrödinger equation is covariant with respect to them. Società Italiana di Fisica, 1990 Other topics in general field and particle theory nationallicence Quantum theory nationallicence quantum mechanics nationallicence Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/10(1990-10-01), 1403-1416 103:10<1403 1990 103 40763 https://doi.org/10.1007/BF02820569 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02820569 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Parravicini G. Dipartimento di Fisica dell'Università, Via Celoria 16, I-20133, Milano aut NATIONALLICENCE 773 0- Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/10(1990-10-01), 1403-1416 103:10<1403 1990 103 40763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer