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  • Je dokázána komutativita prvních dvou netriviálních integrálů pohybu pro kvantové spinové řetězy s interakcí mezi spiny danou Weierstrassovou elliptickou funkcí. Je ukázána lineární nezávislost těchto integrálů pohybu. Jako vedlejší výsledek je získáno několik identit pro Weierstrassovy funkce 3 a 4 argumentů. (cs)
  • We prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction. We also show their liner independence for the number of spins larger than 4. As a byproduct, we obtained several identities between elliptic Weierstrass functions of three and four arguments.
  • We prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction. We also show their liner independence for the number of spins larger than 4. As a byproduct, we obtained several identities between elliptic Weierstrass functions of three and four arguments. (en)
Title
  • The commutativity of integrals of motion for quantum spin chains and elliptic functions identities
  • The commutativity of integrals of motion for quantum spin chains and elliptic functions identities (en)
  • Komutativita integrálů pohybu pro kvantové spinové řetězy a identity eliptických funkcí (cs)
skos:prefLabel
  • The commutativity of integrals of motion for quantum spin chains and elliptic functions identities
  • The commutativity of integrals of motion for quantum spin chains and elliptic functions identities (en)
  • Komutativita integrálů pohybu pro kvantové spinové řetězy a identity eliptických funkcí (cs)
skos:notation
  • RIV/61389005:_____/08:00311076!RIV09-AV0-61389005
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  • P(1P04LA213), P(LC06002), Z(AV0Z10480505)
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  • 1
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  • 360481
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  • RIV/61389005:_____/08:00311076
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  • quantum spin chains; transpositions; integrability; elliptic function (en)
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  • RU - Ruská federace
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  • [4224EEC73E1A]
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  • Regular & Chaotic Dynamics
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  • 13
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  • Dittrich, Jaroslav
  • Inozemtsev, V.
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  • 000253523100003
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  • 1560-3547
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