By Seidel D.
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The connection among brain and truth is generally perceived as an occasion that occurs in truth and generating concurrently an inner photo within the brain. So it occurs two times, so that you could communicate, and there's a one-to-one correspondence among the 2 events.
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The momentum transfer from the spontaneously emitted photon onto the atom is included in Eq. 41), which represents the contrast to the case of an atom at rest. 44) −∞ (2) d3 x |ψt (x)|2 , where Parseval’s theorem has been used in Eq. 45) dΩk 1 − |ek ·D21 |2 |D21 |2 = dϑ (1 − cos2 ϑ) = 8π/3. The reset state for one-dimensional atomic motion can be obtained from Eq. 41) by taking the trace over the momentum components py and pz . 5 Chapter 3. 32) the longitudinal Doppler effect, an effect of the order of v/c, is included in the present approach.
It is equivalent to the Monte-Carlo wave-function approach  and to the method of quantum trajectories . A detailed review can be found by Plenio and Knight . In this section the basic idea of the quantum jump approach is explained and the approach is used to describe the time evolution of a single two-level atom with quantized center-of-mass (cm) motion in the presence of spatially confined laser fields. This will provide the technical basis for the quantum optical arrival-time model of this work.
66), and the probability for the observation of the first photon at t is given by Eq. 70). The difference here is the probability of no emission at all. Since the wave packet for large t contains contributions from the reflected and from the transmitted part, it is asymptotically given by ∞ dk ψ(k) e−i Ψ(x, t) ∼ k 2 t/2m 0 R1 (k)e−ikx Θ(−x) + T1 (k)eikx Θ(x) |1 , t → ∞. 123) With Eq. 67) it follows that ∞ N (∞) = 0 dk |R1 (k)|2 + |T1 (k)|2 |ψ(k)|2 . 124) This expression never vanishes, since either the reflection or the transmission probability of the ground state is larger than zero.