By Seeger R.

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**Extra resources for Critique of Recent Quantum Theories. II**

**Sample text**

E. the distance between two adjacent points where the intensity vanishes). b) Making use of diﬀraction theory, show that the proposed device does not allow one to establish which slit does any single photon come from. c. c. stands for complex conjugate. The polarization state, either of the wave or of the single photon, is described by the complex unit vector: eˆϑϕ ≡ cos ϑ eˆ1 + sin ϑ e i ϕ eˆ2 , ϕ = ϕ2 − ϕ1 ; ∗ eˆϑϕ · eˆϑϕ = 1 . a) Write the vectors that describe the states of circular polarization and show that – up to an overall inessential phase factor – they do not depend on Problems 33 how the x and y axes, orthogonal to the direction of propagation, are chosen.

51 × 106 which is the Compton electron wavelength λc = h/me c . c) The maximum release of energy from the photon to an electron takes place when the photon is scattered backwards (θ = 180◦ ). 34 MeV . 8 × 10−9 eV/G is the Bohr magneton. 5 a) The energy levels of muonium diﬀer from those of the hydrogen atom only because of the diﬀerent value of the reduced mass. 6 = 184 times that of the hydrogen atom, therefore the reduced mass μ of the system (μ− p) is 184 times the electron mass: mp μ 1840 me × 184 me = 204 me .

The probability distribution relative to the counting of the counters is the binomial distribution with probability p = N 1 /N = 12 (1 + 2ab) that each 1 single photon be revealed by C1 and probability √ q = 1 − p = 2 (1 − 2ab) by C2 . 35 × 10−4 . 8 m . b) Let l1 be the length of the path s1 → s2 → s4 → C1,2 (the one with the optical ﬁber) and l2 that of the path s1 → s3 → s4 → C1,2 , t1 = l1 /c t1 . Let t = 0 be the instant when a photon enters the and t2 = l2 /c interferometer: one of the counters will click either in the interval of time t1 , t1 + τ or in the interval t2 , t2 + τ , then the recording of the arrival is a measurement of the followed path: in this case there can be no interference, it is as if the other path would be inaccessible.