On the Time Operator in Quantum Mechanics and the Heisenberg Uncertainty Relation for Energy and Time

Kijowski, J.

doi:10.1016/S0034-4877(74)80004-2

On the Time Operator in Quantum Mechanics and the Heisenberg Uncertainty Relation for Energy and Time

J. Kijowski
(
- Warsaw U.
)

1974

26 pages

Published in:

Rept.Math.Phys. 6 (1974) 361-386

DOI:

10.1016/S0034-4877(74)80004-2

View in:

AMS MathSciNet

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Abstract: (Elsevier)

It is shown that for a given 3-dimensional hyperplane Q , generated by two space-like and one time-like vector, one can construct three operators: x̂ 1 Q , x̂ 2 Q , t ̂ Q . Their expected values are connected with the point ( x 1 , x 2 , t ) on the plane Q in which the particle passes through Q . The operator t ̂ Q is used to formulate the realistic interpretation of the uncertainty relation Δt · ΔE ⩾ ħ /2. This interpretation is related to the possibility of preparing quantum states with the help of macroscopic (classical) instruments.

QUANTUM MECHANICS: RELATIVISTIC
TRANSFORMATION: LORENTZ

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