Bose-like few-fermion systems

Padé approximant approach to singular properties of quantum gases: the ideal cases

“…Furthermore, we can also perform approximate calculations in a small parameter range first, and then use Padé approximant to seek results in a larger parameter range. For example, there are some methods developed for few-body systems, but when the number of particles are large, the calculation amount will increase dramatically [25][26][27]. The Padé approximationant may help us deal with systems with fewer particles first, and then approximately analytically continue to systems with more particles.…”

Energy spectrum of interacting gas: cluster expansion method

“…As long as the canonical partition function is known, the energy eigenvalue spectrum can be calculated using the method. Many methods for calculating the canonical partition function are developed [1][2][3][4][5][6][7], such as the cluster expansion [8][9][10][11][12]. Canonical partition functions are also calculated through the virial expansion [13][14][15].…”