We analyze the thermodynamics of massless bosonic systems in D-dimensional anti-de Sitter spacetime, considering scalar, electromagnetic, and gravitational fields. Their dynamics are described by Plischl-Teller effective potentials and quantized in a unified framework, with the determination of the associated energy spectra. From the microscopic description developed, a macroscopic thermodynamic treatment is proposed, where an effective volume in anti-de Sitter geometry is defined and a suitable thermodynamic limit is considered. Partition functions are constructed for the bosonic gases, allowing the determination of several thermodynamic quantities of interest. With the obtained results, general aspects of the thermodynamics are explored.
Gitman D., 2012, Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrodinger and Dirac Equations with Singular Potentials
机构:
Lebedev Res Ctr Phys, Moscow 119991, Russia
Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany
Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, FranceLebedev Res Ctr Phys, Moscow 119991, Russia
Gitman D., 2012, Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrodinger and Dirac Equations with Singular Potentials
机构:
Lebedev Res Ctr Phys, Moscow 119991, Russia
Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany
Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, FranceLebedev Res Ctr Phys, Moscow 119991, Russia