i am working on the revival of quantum wave packet, i am not getting why we relate the derivative of energy with the classical or revival period
from this equation E=h/T, i can directly say their is an inverse relation between the energy and time period, but i am not getting why derivative of energy
This is not a theoretical idea but a confirmed physical effect. When people investigated the photo effect they found out that short wavelength light extracts higher energy electrons from a metal (https://en.wikipedia.org/wiki/Photoelectric_effect).
Dear Iqra,
The characteristic time scales come about through the series expansion of the energy about some central value ascribed to the wave packet, so essentially they are the inverses of the derivatives of the given order. See, e.g., R. W. Robinett, "Quantum wave packet revivals", Physics Reports 392, 1 (2004), Sec. II.B (also available at arXiv, link below).
http://arxiv.org/abs/quant-ph/0401031
ok thank you
is their any specific reason under which the first derivative of energy associated with classical period and 2nd with revival and so n so forth,
my understanding is, as the classical period can be observe after every interval, so the duration of classical period is smaller then the revival period, and due to the inverse relation with the derivative of energy, the 1st derivative gives is associated with classical period
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