武汉物理与数学研究所：To resolve the mystery of superfluidity and supersolidity（PPT讲稿）superfluidity as a Bose exchange effect

To resolve the mystery of superfluidity and supersolidity superfluidity as a Bose exchange effect 余永乐 武汉物理与数学研究所 山西大学理论物理研究所

To resolve the mystery of superfluidity and supersolidity: superfluidity as a Bose exchange effect 余永乐 武汉物理与数学研究所

P Kapitza upertluldity in liquid He-4, 1938 DD. Osheroff, R C. Richardson, D M.Lee Superfluidity in liquid He-3, 1972 E. Kim and M. h.W. Chan Superfluidity in Solid He-4, 2004

P. Kapitza Superfluidity in liquid He-4, 1938. D. D. Osheroff, R. C. Richardson, D. M. Lee Superfluidity in liquid He-3, 1972. E. Kim and M. H.W. Chan Superfluidity in Solid He-4, 2004

Microscopic mechanism of Superfluidity F. London, related Superfluidity with BEC, 1938 O. Penrose, L Onsager. C. N. Yang, off-diagonal long-range order *N.N. Bogoliubov's theory

Microscopic mechanism of Superfluidity : F. London, related Superfluidity with BEC, 1938 * O. Penrose, L. Onsager. C. N. Yang, off-diagonal long-range order * N. N. Bogoliubov’s theory

h2、0 H ∑n+27g∑8( 2MR480

2 2 2 2 1 2 ( ) 2 N N i j i i j i H g MR     =    = − + −   

h2、0 H ∑n+27g∑8( 2MR480 E: in unit of h/2mR L: in unit of h L N=10g=1

N=10 g=1 2 2 2 2 1 2 ( ) 2 N N i j i i j i H g MR     =    = − + −    2 2 E mR L : / 2 , : in unit of in unit of