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WikiCards · Card list · Science cards · Bloch's theorem
Uncommon card · Science
Bloch's theorem, an Uncommon card
In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 73
- DEF
- 57
- Power
- 130
- Wikipedia reads a year
- 64,000
Power 130 (ATK + DEF): stronger than 70 % of WikiCards cards.
Bloch's theorem quiz: 3 questions
Three questions on the Bloch's theorem card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The theorem is named after the Swiss physicist Felix Bloch, who ______ the theorem in 1929.
Answer
discovered. The theorem is named after the Swiss physicist Felix Bloch, who discovered the theorem in 1929. From the Bloch's theorem article on Wikipedia.
Which of these Wikipedia articles is read the most in a year?
Answer
Barber. Barber 100,000 · Bloch's theorem 64,000 · John Gurdon 44,000 · Starburst galaxy 27,000 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- The theorem is named after the Swiss physicist Felix Bloch, who discovered the theorem in 1929.
- Mathematically, they are written where r is position, ψ is the wave function, u is a periodic function with the same periodicity as the crystal, the wave vector k is the crystal momentum vector, e is Euler's number, and i is the imaginary unit.
- Functions of this form are known as Bloch functions or Bloch states, and serve as a suitable basis for the wave functions or states of electrons in crystalline solids.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Bloch's theorem article was read about 64,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 73 and blocks with 57: each hit it takes is cut by 23 %.
How to get Bloch's theorem
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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Credits
Text : Wikipedia, Bloch's theorem (revision), CC BY-SA 4.0. Photo : Lorenzo Paulatto ( Paulatz ), CC BY-SA 3.0, Wikimedia Commons.
