فرمول لیفشیتز با استفاده از روش بازبهنجارش جعبه

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

گروه فیزیک، دانشکده علوم، دانشگاه قم، قم، ایران

چکیده

در این مقاله فرمول لیفشیتز برای انرژی کازیمیر بین دو دی‌الکتریک در دمای صفر مطلق با استفاده از روش بازبهنجارش جعبه به دست می آید. هر چند که برای محاسبه نیروی کازمیر در این مورد در منابع مختلف اثبات های متعددی ارائه شده است از جمله اثبات خود لیفشیتز، اما ما تاکنون اثبات بدون ابهام و بسیار دقیق برای انرژی ندیده‌ایم. از آنجا که خود انرژی در بعضی موارد، مانند محاسبه آنتروپی یا ظرفیت گرمایی مهم می شود، ما اینجا از تعریف صحیح و دقیق انرژی کازیمیر استفاده می کنیم و، برای اولین بار، کلیه بینهایت‌ها را به صورت سیستماتیک و نه دستی، بدون ابهام حذف خواهیم نمود. این اثبات همچنین قدرت و دقت روش بازبهنجارش جعبه را نشان می دهد.

کلیدواژه‌ها


عنوان مقاله [English]

Lifshitz formula using box renormalization scheme

نویسندگان [English]

  • Maryam Miralaei
  • Reza Moazzemi
Physics department, University of Qom, Qom, Iran
چکیده [English]

In this paper, the Lifshitz formula for the Casimir energy between two dielectrics in zero temperature is derived using box renormalization. Although there are several derivations for the force in this case in the literature, including Lifshitz’s own proof, so far there has been no unambiguous and rigorous derivation for energy that we are aware of. Since energy becomes important in some cases, e.g. calculation of entropy or heat capacity, using the correct and precise definition of the Casimir energy, for the first time, we remove all of the infinities systematically without any ambiguity. This proof also shows the strength and accuracy of the box renormalization scheme.

کلیدواژه‌ها [English]

  • Casimir energy
  • Lifshitz Formula
  • Quantum vacuum
  • Electromagnetic field
  • Box renormalization
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