Super hilbert space and the quantum-mechanical time operators
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Abstract: (AIP)
The basic idea of super Hilbert space is to represent physical states by continuous linear functionals on a space of good functions, rather than by functions in a Hilbert space. Since L 2 is in one‐to‐one correspondence with a subset of super Hilbert space, everything that can be done in L 2 can be done in super Hilbert space. In addition, however, it is possible to have a time operator and thus to base relativistic quantum mechanics on covariant four‐dimensional commutation relations.- quantum mechanics
- mathematics
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