Modified anti Snyder model with minimal length, momentum cutoff and convergent partition function. (English) Zbl 1426.83013
Summary: In this paper we consider the possible modification of the anti Snyder model so that it has the non-zero minimal length, momentum cutoff and the convergent partition function. For the modified anti Snyder model we discuss the representations, eigenstates of position operator, momentum wave function, one dimensional box problem, and harmonic oscillator problem. We extend this model into \(D\)-dimensional case so that it also may guarantee the convergent partition function. Using this partition function we discuss the thermodynamics of the free particle system and cosmological constant problem.
MSC:
83C45 | Quantization of the gravitational field |
83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
80A10 | Classical and relativistic thermodynamics |
81V17 | Gravitational interaction in quantum theory |
85A40 | Astrophysical cosmology |
Keywords:
modified anti Snyder model; minimal length; partition function; cosmological constant; thermodynamicsReferences:
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