Super Hilbert Space and the Quantum-Mechanical Time Operators
- 1 July 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (7) , 1127-1144
- https://doi.org/10.1063/1.1664949
Abstract
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 L2 is in one‐to‐one correspondence with a subset of super Hilbert space, everything that can be done in L2 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.Keywords
This publication has 4 references indexed in Scilit:
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- Operator for Time Delay Induced by ScatteringPhysical Review B, 1966
- Lifetime Matrix in Collision TheoryPhysical Review B, 1960
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