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Chung, Won Sang; Hassanabadi, Hassan

Modified anti Snyder model with minimal length, momentum cutoff and convergent partition function. (English) Zbl 1426.83013

Int. J. Theor. Phys. 58, No. 7, 2267-2281 (2019).
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.

Cited in 4 Documents

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; thermodynamics
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Full Text: DOI

References:

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