Remarks on BEC on graphs.(English)Zbl 1376.82007

MSC:

 82B10 Quantum equilibrium statistical mechanics (general) 81R15 Operator algebra methods applied to problems in quantum theory
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References:

 [1] Araki, H.; Shiraishi, M., On quasifree states of the canonical commutation relations. I, Publ. Res. Inst. Math. Sci., 7, 105-120, (197172) · Zbl 0239.46066 [2] Araki, H., On quasifree states of the canonical commutation relations. II, Publ. Res. Inst. Math. Sci., 7, 121-152, (197172) · Zbl 0239.46067 [3] Araki, H.; Yamagami, S., On quasi-equivalence of quasifree states of the canonical commutation relations, Publ. Res. Inst. Math. Sci., 18, 2, 703-758, (1982) · Zbl 0505.46052 [4] Bratteli, O.; Robinson, D., Operator Algebras and Quantum Statistical Mechanics I, (1986), Springer [5] Bratteli, O.; Robinson, D., Operator Algebras and Quantum Statistical Mechanics II, (1997), Springer [6] Fidaleo, F.; Guido, D.; Isola, T., Bose-Einstein condensation on inhomogeneous amenable graphs, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 14, 2, 149-197, (2011) · Zbl 1223.82012 [7] Fidaleo, F., Harmonic analysis on Cayley trees II: the Bose-Einstein condensation, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15, 4, 32, (2012) · Zbl 1273.82011 [8] Fidaleo, F., Harmonic analysis on inhomogeneous amenable networks and the Bose-Einstein condensation, J. Stat. Phys., 160, 3, 715-759, (2015) · Zbl 1362.82053 [9] Honegger, R., Decomposition of positive sesquilinear forms and the central decomposition of gauge-invariant quasi-free states on the Weyl-algebra, Z. Naturforsch. A, 45, 1, 17-28, (1990) · Zbl 0807.46088 [10] Honegger, R.; Rapp, A., General Glauber coherent states on the Weyl algebra and their phase integrals, Phys. A, 167, 3, 945-961, (1990) [11] Lewis, J. T.; Pulè, J. V., The equilibrium states of the free boson gas, Comm. Math. Phys., 36, 1-18, (1974) [12] Manuceau, J.; Verbeure, A., Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations, Comm. Math. Phys., 9, 293-302, (1968) · Zbl 0167.55902 [13] Manuceau, J.; Rocca, F.; Testard, D., On the product form of quasi-free states, Comm. Math. Phys., 12, 43-57, (1969) · Zbl 0172.27303 [14] Matsui, T., BEC of free bosons on networks, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 9, 1, 1-26, (2006) · Zbl 1093.82003 [15] Pulé, J. V.; Verbeure, A.; Zagrebnov, V. A., On nonhomogeneous Bose condensation, J. Math. Phys., 46, 8, 8, (2005) · Zbl 1110.82005 [16] Rocca, F.; Sirugue, M.; Testard, D., On a class of equilibrium states under the kubo-martin-Schwinger condition. II. bosons, Comm. Math. Phys., 19, 119-141, (1970) [17] Simon, B., Functional Integration and Quantum Physics, (2005), AMS Chelsea Publishing, Providence, RI · Zbl 1061.28010 [18] van Daele, A., Quasi-equivalence of quasi-free states on the Weyl algebra, Comm. Math. Phys., 21, 171-191, (1971) · Zbl 0211.44002 [19] Yamagami, S., Geometry of quasi-free states of CCR algebras, Internat. J. Math., 21, 7, 875-913, (2010) · Zbl 1200.46061 [20] Yamagami, S., Geometry of coherent states of CCR algebras, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15, 2, 9, (2012) · Zbl 1259.46060
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