1, x
1/ 2,
if | j1j2JT| j3j4JT; otherwise.
G J j1 T j2j3j4 j1j2 J T |V |j3j4 J T
There are some people who use other distributions, for example, A uniform distribution between -1 and 1. For our study, it is found that these different distribution present similar statistics.
Other applications: complicated systems (e.g., quantum chaos)
1. What does 0 g.s. dominance mean ?
In 2019, Johnson, Bertsch, and Dean discovered that spin parity =0+ ground state dominance can be obtained by using random two-body interactions.
Two-body random ensemble(TBRE)
One usually choose Gaussian distribution for two-body random interactions
(G ) JT j1j2 j3j4
1 (GJj1Tj2j3j4 )2 2 x exp( ) 2x
Phys. Rep. 347, 223 (2019).
Original References:
J. B. French and S.S.M.Wong, Phys. Lett. B33, 449(1970);