Infinite spherical well as model of quantum carnot engine
DOI:
https://doi.org/10.58524/app.sci.def.v1i1.175Keywords:
Carnot engine, Infinite spherical well, Quantum Carnot engine, ThermodynamicsAbstract
The potential well is a simple example that generally used to present an understanding of quantum mechanics. In this article, we used infinite spherical well model to evaluate the thermodynamic processes in a quantum Carnot engine. The energy of the particles depended on the value of n and l lead to complex calculations. For simplicity we used the φ100 and φ200 quantum states to determine work and efficiency of a quantum Carnot machine. The results obtained show that efficiency depends on the value of  which is the ratio of RC and RB.
References
Bender, C. M., Brody, D. C., & Meister, B. K. (2000). Quantum mechanical Carnot engine. In J. Phys. A: Math. Gen (Vol. 33). http://iopscience.iop.org/0305-4470/33/24/302
Çakmak, B., & Müstecaplloǧlu, Ö. E. (2019). Spin quantum heat engines with shortcuts to adiabaticity. Physical Review E, 99(3), 032108. https://doi.org/10.1103/PhysRevE.99.032108
Glasser, M. L., Mateo, J., Negro, J., & Nieto, L. M. (2009). Quantum infinite square well with an oscillating wall. Chaos, Solitons and Fractals, 41(4), 2067–2074. https://doi.org/10.1016/j.chaos.2008.07.055
Goswami, H. P., & Harbola, U. (2013). Thermodynamics of quantum heat engines. Physical Review A - Atomic, Molecular, and Optical Physics, 88(1), 013842. https://doi.org/10.1103/PhysRevA.88.013842
Koehn, M. (2012). Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall. EPL, 100(6), 60008. https://doi.org/10.1209/0295-5075/100/60008
Macchiavello, C., Macchiavello, C., Macchiavello, C., Riccardi, A., Sacchi, M. F., & Sacchi, M. F. (2020). Quantum thermodynamics of two bosonic systems. Physical Review A, 101(6). https://doi.org/10.1103/PhysRevA.101.062326
Muñoz, E., & Peña, F. J. (2012). Quantum heat engine in the relativistic limit: The case of a Dirac particle. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(6), 062326. https://doi.org/10.1103/PhysRevE.86.061108
Papadatos, N., & Anastopoulos, C. (2020). Relativistic quantum thermodynamics of moving systems. Physical Review D, 102(8), 085005. https://doi.org/10.1103/PhysRevD.102.085005
Quan, H. T. (2009). Quantum thermodynamic cycles and quantum heat engines. II. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(4), 041129. https://doi.org/10.1103/PhysRevE.79.041129
Quan, H. T., Liu, Y. X., Sun, C. P., & Nori, F. (2007). Quantum thermodynamic cycles and quantum heat engines. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(3), 031105’. https://doi.org/10.1103/PhysRevE.76.031105
Rezek, Y., & Kosloff, R. (2006). Irreversible performance of a quantum harmonic heat engine. New Journal of Physics, 8(83), 1-27. https://doi.org/10.1088/1367-2630/8/5/083
Sutantyo, T. E. P. (2020). Three-State Quantum Heat Engine Based on Carnot Cycle. Jurnal Fisika Unand, 9(1), 142–149. https://doi.org/10.25077/jfu.9.1.142-149.2020
Sutantyo, T. E. P., Belfaqih, I. H., & Prayitno, T. B. (2015). Quantum-Carnot engine for particle confined to cubic potential. AIP Conference Proceedings, 1677, 040011. https://doi.org/10.1063/1.4930655
Thomas, G., Das, D., & Ghosh, S. (2019). Quantum heat engine based on level degeneracy. Physical Review E, 100(1), 012123. https://doi.org/10.1103/PhysRevE.100.012123
Xu, Y. Y., Chen, B., & Liu, J. (2018). Achieving the classical Carnot efficiency in a strongly coupled quantum heat engine. Physical Review E, 97(2), 022130. https://doi.org/10.1103/PhysRevE.97.022130
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