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Phase–space noncommutativity and the thermodynamics of the Landau system

Kolorah H.A.W. Institution, Kolorah, Howrah 711411, India

E-mail Address: aslamhalder.phy@gmail.com

and

Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, Nadia, West Bengal, India

Visiting Associate in Inter University Centre for Astronomy and Astrophysics (IUCAA), Pune 411007, India

E-mail Address: sunandan.gangopadhyay@gmail.com

E-mail Address: sunandan@iiserkol.ac.in

E-mail Address: sunandan@associates.iucaa.in

Corresponding author

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https://doi.org/10.1142/S0217732317501024Cited by:2 (Source: Crossref)

Abstract

Thermodynamics of the Landau system in noncommutative phase–space (NCPS) has been studied in this paper. The analysis involves the use of generalized Bopp-shift transformations to map the noncommutative (NC) system to its commutative equivalent system. The partition function of the system is computed and from this, the magnetization and the susceptibility of the Landau system are obtained. The results reveal that the magnetization and the susceptibility get modified by both the spatial and momentum NC parameters $𝜃$ and $\bar{𝜃}$ . We then investigate the de Hass–van Alphen effect in NCPS. Here, the oscillation of the magnetization and the susceptibility get corrected by both the spatial and momentum NC parameters $𝜃$ and $\bar{𝜃}$ .

Keywords:

PACS: 03.65.Ca

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