TY - JOUR
T1 - Measuring energy, estimating Hamiltonians, and the time-energy uncertainty relation
AU - Aharonov, Y.
AU - Massar, S.
AU - Popescu, S.
PY - 2002/11
Y1 - 2002/11
N2 - It was found that the real meaning of energy in quantum mechanics was that of governing the time evolution of a system. To measure the energy one needs to determine the time evolution, and this takes time. Thus energy measurements require time, and their precision was limited by the time given at the disposal. A proper energy measurement necessarily probes the time evolution and therefore cannot be done instantaneously. Rather the time taken to carry out the measurement and the precision with which one knows the energy were constrained by a time-energy uncertainty relation ΔtΔE≥1.
AB - It was found that the real meaning of energy in quantum mechanics was that of governing the time evolution of a system. To measure the energy one needs to determine the time evolution, and this takes time. Thus energy measurements require time, and their precision was limited by the time given at the disposal. A proper energy measurement necessarily probes the time evolution and therefore cannot be done instantaneously. Rather the time taken to carry out the measurement and the precision with which one knows the energy were constrained by a time-energy uncertainty relation ΔtΔE≥1.
UR - http://www.scopus.com/inward/record.url?scp=0036877210&partnerID=8YFLogxK
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AN - SCOPUS:0036877210
SN - 1050-2947
VL - 66
SP - 052107/1-052107/11
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052107
ER -