Thermostatistics in deformed space with maximal length

The method for calculating the canonical partition function with deformed Heisenberg algebra, developed by Fityo (Fityo, 2008), is adapted to modified commutation relations including a maximal length, proposed in 1D Perivolaropoulos (Perivolaropoulos, 2017). Firstly, one-dimensional maximum length formalism extended arbitrary dimensions. Then, employing semiclassical approach, thermostatistics of an ideal gas and system harmonic oscillators (HOs) investigated. For gas, results generalize those obtained recently us (Bensalem Bouaziz, 2019), show complete agreement between quantum approaches. In particular, stiffer real-like equation state established 3D; it consistent formal one, which we presented aforementioned paper. HOs compared that reveals effects depend on studied system. On other hand, observed maximal-length some thermodynamic functions are analogous minimal previously literature. Finally, analyzing experimental data, argue might be viewed as characteristic scale associated under study. • Thermostatistics Semiclassical computed analytically both systems. New system, observed. plays role concerned