摘要: Convergent expansions of the wavefunctions for ground state and lowlying excited states quantum transverse Ising systems are obtained. These employed to prove that dispersion relation a single quasi-particle has convergent expansion.
springer.com
harvard.edu
elsevier.com
arxiv-vanity.com参考文章(11)
Yu. G. Kondratiev, R. A. Minlos, One-particle subspaces in the stochastic XY model Journal of Statistical Physics. ,vol. 87, pp. 613- 642 ,(1997) , 10.1007/BF02181240
Nicolae Angelescu, Robert A. Minlos, Valentin A. Zagrebnov, The one-particle energy spectrum of weakly coupled quantum rotators Journal of Mathematical Physics. ,vol. 41, pp. 1- 23 ,(2000) , 10.1063/1.533120
R. A. Minlos, Yu. M. Suhov, On the spectrum of the generator of an infinite system of interacting diffusions Communications in Mathematical Physics. ,vol. 206, pp. 463- 489 ,(1999) , 10.1007/S002200050714
Martin Pokorny, Continuous spectrum in the ground state of two spin-1/2 models in the infinite-volume limit Journal of Statistical Physics. ,vol. 72, pp. 381- 403 ,(1993) , 10.1007/BF01048055
J. Ginibre, Existence of phase transitions for quantum lattice systems Communications in Mathematical Physics. ,vol. 14, pp. 205- 234 ,(1969) , 10.1007/BF01645421
Lawrence E. Thomas, Zhong Yin, Low temperature expansions for the Gibbs states of quantum Ising lattice systems Journal of Mathematical Physics. ,vol. 25, pp. 3128- 3134 ,(1984) , 10.1063/1.526030
Taku Matsui, A link between quantum and classical Potts models Journal of Statistical Physics. ,vol. 59, pp. 781- 798 ,(1990) , 10.1007/BF01025850
James R. Kirkwood, Lawrence E. Thomas, Expansions and phase transitions for the ground state of quantum Ising lattice systems Communications in Mathematical Physics. ,vol. 88, pp. 569- 580 ,(1983) , 10.1007/BF01211959
Claudio Albanese, On the spectrum of the Heisenberg Hamiltonian Journal of Statistical Physics. ,vol. 55, pp. 297- 309 ,(1989) , 10.1007/BF01042601
Lawrence E. Thomas, Zhong Yin, Low temperature expansions for the Gibbs states of weakly interacting quantum Ising lattice systems Communications in Mathematical Physics. ,vol. 91, pp. 405- 417 ,(1983) , 10.1007/BF01208782