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Bloch's theorem

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. The theorem is named after the Swiss physicist Felix Bloch, who discovered the theorem in 1929. Mathematically, they are written

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  • Basis Basis (linear algebra)

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Bloch's theorem

Nodes81
Edges80
Triples39
Avg. degree1.98
Density0.024691
Components1

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Bloch's theorem

Top relations

related to history · 16
Bloch's theorem → Alexander Lyapunov, As, Bloch, Bloch's, Felix Bloch, Floquet, Gaston Floquet, George William Hill, Hill's, Kronig, Lyapunov, Mathematically, Mathieu's, Penney, Specific, The
related to Mathematical caveat · 8
Bloch's theorem → Bloch, Bloch's, Decompositions, Hilbert, Mathematically, Quantum Mechanics, The, Therefore
related to Applicability · 6
Bloch's theorem → Bloch's, Bloch-wave, For, However, It, The
related to Detailed example · 3
Bloch's theorem → Bloch's, For, Particle
related to Statement · 3
Bloch's theorem → Bloch, Bloch's, For
related to Using lattice periodicity · 2
Bloch's theorem → Bloch's, Source

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displaystyle mathbf psi wave bloch translation lattice theorem crystal periodic cdot function band vector hat functions bloch's also given therefore

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SubjectPredicateObjectConfidenceSrc
Bloch's theorem cannot exist in Quantum Mechanicsinstance ofa rigorous theorem0.80text
Bloch's theoremrelated to ApplicabilityThe0.60section
Bloch's theoremrelated to ApplicabilityBloch's0.60section
Bloch's theoremrelated to ApplicabilityHowever0.60section
Bloch's theoremrelated to ApplicabilityBloch-wave0.60section
Bloch's theoremrelated to ApplicabilityFor0.60section
Bloch's theoremrelated to ApplicabilityIt0.60section
Bloch's theoremrelated to Detailed exampleFor0.60section
Bloch's theoremrelated to Detailed exampleBloch's0.60section
Bloch's theoremrelated to Detailed exampleParticle0.60section
Bloch's theoremrelated to historyThe0.60section
Bloch's theoremrelated to historyBloch0.60section

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