ISSN:
1432-0916

Source:
Springer Online Journal Archives 1860-2000

Topics:
Mathematics
,
Physics

Notes:
Abstract In ordinary quantum mechanics for finite systems, the time evolution induced by Hamiltonians of the form $$H = \frac{{P^2 }}{{2m}} + V(Q)$$ is studied from the point of view of *-automorphisms of the CCRC*-algebra $$\bar \Delta $$ (see Ref. [1, 2]). It is proved that those Hamiltonians do not induce *-automorphisms of this algebra in the cases: a) $$V \in \bar \Delta $$ and b)V εL ∞ (ℝ,dx) ∩L 1 (ℝ,dx), except when the potential is trivial.

Type of Medium:
Electronic Resource

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