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...ld on a plane is described by the following four variables:<ref>Z.Ezawa. ''Quantum Hall Effect'', 2nd ed, World Scientific. Chapter 28</ref> guiding center co ...Q =q</math> and <math> P=-i\hbar \frac{d}{dq} </math> in one-dimensional [[quantum mechanics]]. ...

{{Short description|Quantum mechanical model with coupled spins ...''' is a one-dimensional [[quantum mechanics|quantum]] [[Heisenberg model (quantum)|Heisenberg spin model]] in which the nearest-neighbour antiferromagnetic e ...

...'''J1–J2 model''' is a [[quantum spin model]] like the [[Heisenberg model (quantum)|Heisenberg model]] but also includes a term for the interaction between ne *[[Heisenberg model (quantum)]] ...

{{Short description|Quantum-mechanical phenomenon}} ...ricity and magnetism)|dual]] to the [[Aharonov–Bohm effect]], in which the quantum phase of a charged particle depends upon which side of a magnetic [[flux tu ...

...Khomskii]] (Daniil I. Khomskii, Даниил Ильич Хомский). The [[Hamiltonian (quantum mechanics)|Hamiltonian]] used is: ...sics Uspekhi|volume=25|page=231|year=1982|title=The Jahn-Teller effect and magnetism: transition metal compounds|issue=4 }} ...

...direction of the field.<ref name="getzlaff">M. Getzlaff, ''Fundamentals of magnetism'', Berlin: Springer-Verlag, 2008.</ref> ...magnetization, electrons, and phonons.<ref>J. Stöhr and H. C. Siegmann, ''Magnetism: From Fundamentals to Nanoscale Dynamics,'' Berlin: Springer-Verlag, 2006.< ...

...">{{cite book|last=C.Cohen Tannoudji|author2=B.Diu |author3=F.Laloe |title=Quantum mechanics|publisher=Wiley|year=1999|isbn=978-0-471-56952-7}}</ref> ...1 (\text{except } J=0 \rightarrow J=0)</math> (J: [[total angular momentum quantum number]]) ...

...invariant]]s such as the [[Berry phase]] and [[Chern number]]s as in the [[Quantum Hall effect]]. {{See also|Heisenberg model (quantum)|l1=Heisenberg model}} ...

...is used as a model for metals containing magnetic impurities, as well as [[quantum dot]] systems.<ref>{{Cite journal |first=Alex C |last=Hewson |author2=Jun K The Kondo [[Hamiltonian (quantum mechanics)|Hamiltonian]] is given by ...

| fields = [[Quantum physics]] ...quantum order]] <br> [[spin liquid]] <br> [[spin ice]] <br> [[frustrated magnetism]] <br> [[skyrmions]] | awards = [[Alfred P. Sloan Fellowship]] < ...

...=Alicki|first1=Robert|last2=Jenkins|first2=Alejandro|date=2020-10-30|title=Quantum Theory of Triboelectricity|url=https://link.aps.org/doi/10.1103/PhysRevLett ...ouck Van Vleck |contribution = Quantum mechanics: The key to understanding magnetism (Nobel lecture, 8 December 1977) |title = Nobel Lectures in Physics 1971-19 ...

...ontaneous symmetry breaking|spontaneously broken]].<ref>S. Weinberg, ''The Quantum Theory of Fields'', Vol. 2. Chap 23, Cambridge University Press (1995).</re ==Magnetism== ...

== Derivation with quantum mechanics == ...first1=J. M. D. |url=https://books.google.com/books?id=Ie72CFd-eSEC |title=Magnetism and Magnetic Materials |last2=Coey |first2=J. M. D. |date=2010-03-25 |publi ...

{{Short description|Phenomena in quantum physics}} ...lich |first3=Daniel |last4=Skrzypczyk |first4=Paul |date=2013-11-07 |title=Quantum Cheshire Cats |url=https://iopscience.iop.org/article/10.1088/1367-2630/15/ ...

{{Short description|Type of model in quantum statistical physics}} ...ed sites on a [[lattice (group)|lattice]]. A prototypical example is the [[quantum Heisenberg model]]. Interactions between the sites are modelled by [[operat ...

The '''Fermi contact interaction''' is the [[magnetism|magnetic]] interaction between an [[electron]] and an [[atomic nucleus]]. I ...th display="inline"> \left\langle \cdots \right\rangle </math> denotes the quantum mechanical spin coupling.<ref> ...

...0-309-13409-5|url=https://books.google.com/books?id=_50wVzbzDzkC&q=Sr2RhO4+quantum+oscillation+fermi+liquid&pg=PT60}}</ref> Quantum oscillations have been used to study [[high temperature superconductivity|h ...

...id=vrcHC9XoHbsC&q=van+vleck+paramagnetism&pg=PA166|title=Quantum Theory of Magnetism|last2=Ramakanth|first2=Anupuru|date=2009-10-03|publisher=Springer Science & The [[Hamiltonian (quantum mechanics)|Hamiltonian]] for an electron in a static homogeneous magnetic f ...

{{Short description|Mathematical model of magnetism}} The '''transverse field Ising model''' is a quantum version of the classical [[Ising model]]. It features a lattice with neares ...

...ry). This bulk inversion asymmetry (BIA) forces the [[Perturbation theory (quantum mechanics)|perturbative]] [[Hamiltonian mechanics|Hamiltonian]] to contain [[Category:Quantum magnetism]] ...