(Q899196)

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Heisenberg model

statistical model in quantum mechanics of magnetic materials

quantum Heisenberg model
Heisenberg spin chain

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{\begin{aligned}{\mathcal {H}}&=(\mathbb {C} ^{2})^{\otimes N}\\H&=-{\frac {1}{2}}\sum _{j\in \mathbb {Z} /N}(J_{x}\sigma _{j}^{x}\sigma _{j+1}^{x}+J_{y}\sigma _{j}^{y}\sigma _{j+1}^{y}+J_{z}\sigma _{j}^{z}\sigma _{j+1}^{z}+h\sigma _{j}^{z})\end{aligned}}

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in defining formula

{\mathcal {H}}

symbol represents

Hilbert space

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H

symbol represents

Hamiltonian operator

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N

symbol represents

number of particles

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J_{x}

symbol represents

coupling constant

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J_{y}

symbol represents

coupling constant

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J_{z}

symbol represents

coupling constant

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h

symbol represents

magnetic field

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\sigma

symbol represents

Pauli matrices

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

1 reference

28 October 2013

Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

(Q899196)

Heisenberg model

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