3 years ago

Comparative Study for N D-Dimensional Quantum Oscillators with Respect Fractional Derivative Senses

Randa Bekhouche, Mohammed Tayeb Meftah, Zineb Korichi


In this paper, we focus our study on some systems in statistical mechanics based on the fractional quantum mechanics. At first, we present the partition function of a system composed of N independent fractional quantum oscillators in D-dimensional space. Secondly, based on the three fractional derivatives senses (Liouville, Reimann–Liouville, and Caputo), we calculate the partition function for each sense and we apply the result to 3-dimensional quantum oscillator. By this application, we have shown that the derivative senses, generally, lead to different partition functions.

Publisher URL: https://link.springer.com/article/10.1007/s00601-017-1315-1

DOI: 10.1007/s00601-017-1315-1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.