کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256712 | 1534234 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bogolyubov inequality for the ground state and its application to interacting rotor systems
ترجمه فارسی عنوان
نابرابری بوگولیوبوف برای حالت زمین و کاربرد آن برای تعامل سیستم های روتور
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We have formulated and proved the Bogolyubov inequality for operators at zero temperature. So far this inequality has been known for matrices, and we were able to extend it to certain class of operators. We have also applied this inequality to the system of interacting rotors. We have shown that if: (i) the dimension of the lattice is 1 or 2, (ii) the interaction decreases sufficiently fast with a distance, and (iii) there is an energy gap over the ground state, then the spontaneous magnetization in the ground state is zero, i.e. there is no LRO in the system. We present also heuristic arguments (of perturbation-theoretic nature) suggesting that one- and two-dimensional systems of interacting rotors have the energy gap independent of the system size if the interaction is sufficiently small.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 80, Issue 2, October 2017, Pages 233-253
Journal: Reports on Mathematical Physics - Volume 80, Issue 2, October 2017, Pages 233-253
نویسندگان
Jacek Wojtkiewicz, WiesÅaw Pusz, Piotr Stachura,