ua nt - p h / 03 10 14 5 v 1 2 3 O ct 2 00 3 Depurification by Lorentz boosts Piotr
نویسنده
چکیده
We consider a particle of half-integer spin which is nonrelativistic in the rest frame. Assuming the particle is completely polarized along third axis we calculate the Bloch vector as seen by a moving observer. The result for its length is expressed in terms of dispersion of some vector operator linear in momentum. The relation with the localization properties is discussed. ∗supported by the Lódź University grant N 795.
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In this paper we show that if the refractive index, or rather, [n(ω) − 1] satisfies the dispersion relations then, it is implied by Titchmarsh's theorem that, n(ω) → 1 as ω → ∞. Any other limiting value for n(ω) would violate relativistic causality, by which we mean not only that cause must precede effect but also that signals cannot travel faster–than–c, the velocity of light in a vacuum.
متن کاملar X iv : q ua nt - p h / 03 10 05 9 v 2 1 0 O ct 2 00 3 Dispersion Relations and Relativistic Causality
In this paper we show that if the refractive index, or rather, [n(ω) − 1] satisfies the dispersion relations then, it is implied by Titchmarsh's theorem that, n(ω) → 1 as ω → ∞. Any other limiting value for n(ω) would violate relativistic causality, by which we mean not only that cause must precede effect but also that signals cannot travel faster–than–c, the velocity of light in a vacuum.
متن کاملar X iv : q ua nt - p h / 03 10 05 9 v 1 9 O ct 2 00 3 Dispersion Relations and Relativistic Causality
In this paper we show that if the refractive index, or rather, [n(ω) − 1] satisfies the dispersion relations then, it is implied by Titchmarsh's theorem that, n(ω) → 1 as ω → ∞. Any other limiting value for n(ω) would violate relativistic causality, by which we mean not only that cause must precede effect but also that signals cannot travel faster–than–c, the velocity of light in a vacuum.
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