Download Absolutely Small: How Quantum Theory Explains Our Everyday by Michael D. Fayer PDF

By Michael D. Fayer

Physics is a posh, even daunting subject, however it is additionally deeply pleasant even exciting. And liberated from its mathematical underpinnings, physics all at once turns into obtainable to someone with the interest and mind's eye to discover its attractiveness. technology with no math? It's now not that strange. for instance, we will comprehend the concept that of gravity with out fixing a unmarried equation. So for all those that could have reflected what makes blueberries blue and strawberries crimson; in case you have puzzled if sound particularly travels in waves; and why gentle behaves so another way from the other phenomenon within the universe, it's all an issue of quantum physics. Absolutely Small provides (and demystifies) the realm of quantum technological know-how like no ebook earlier than. It explores medical innovations from debris of sunshine, to likelihood, to states of topic, to what makes greenhouse gases undesirable in significant intensity, yet utilizing examples from the typical global. difficult with out being intimidating, available yet no longer condescending, Absolutely Small develops the reader's instinct for the very nature of items at their most elementary and interesting degrees.

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Additional info for Absolutely Small: How Quantum Theory Explains Our Everyday World

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Der Ausdruck O V = ψ| O |ψ V = d3 xψ (±)† (x)τ3 Oψ(x) , Q = ψ| ψ V = ±1 ist der verallgemeinerte Erwartungswert (V-Erwartungswert) der Observablen O und gibt den statistischen Mittelwert vieler gleichartiger Messungen 13 Allerdings folgt hieraus eine andere Asymmetrie. W¨ ahrend n¨ amlich bei positiven Eigenl¨ osungen eines Operators der Eigenwert mit dem Erwartungswert u ¨ bereinstimmt, sind diese Gr¨ oßen bei negativen Eigenl¨ osungen genau entgegengesetzt. 1 zitierte dritte Grundsatz nicht aufrechterhalten.

Symmetrietransformationen f¨ uhren auf formal identische Bewegungsgleichungen und somit auf physikalisch ¨aquivalente Situationen. • Die Klein-Gordon-Theorie ist invariant unter der vollen Poincar´eGruppe. Diskrete Symmetrietransformationen der Theorie sind die uneigentliche Lorentz-Transformation der Raumspiegelung P sowie die nichtlorentzartigen Transformationen der Zeitumkehr T und der erweiterten Ladungskonjugation C. • Die Wellenfunktion eines Spin-0-Antiteilchens der Ladung −e kann aufgefaßt werden als eine negative Klein-Gordon-L¨osung der Ladung +e, die sich r¨ uckw¨ arts in Raum und Zeit bewegt (Feynman-St¨ uckelbergInterpretation).

Da die soeben besprochenen Transformationen der Raumspiegelung P und der Zeitumkehr T Symmetrietransformationen sind, k¨ onnen wir sie ebenso gut auch bei der Konstruktion von Antiteilchenwellenfunktionen mitverwenden. 37) im aktiven Fall (ohne Ber¨ ucksichtigung etwaiger Phasen) (−) φ(−) (x) −→ φP CT (x) = φ(−) (−x) . 5: Feynman-St¨ uckelberg-Interpretation in der Klein-Gordon-Theorie Aufgrund der P CT -Transformation kann die Wellenfunktion eines physikalischen Spin-0-Antiteilchens der Ladung −e aufgefaßt werden als eine negative Klein-Gordon-L¨ osung der Ladung +e, die sich r¨ uckw¨arts in Raum und Zeit bewegt.

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