سیستم بس ذره ای کوانتومی با جرم موثر متغیر در حضور برهمکنش نوسانگر هارمونیک نسبی و میدان الکتریکی وابسته به زمان

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

1 دانشگاه صنعتی شاهرود

2 عضو هیأت علمی دانشکده فیزیک، دانشگاه صنعتی شاهرود، شاهرود، ایران

چکیده

در این مقاله یک سیستم کوانتومی بس ذره ای در نظر گرفته شده است. سپس به آن سیستم دو بر همکنش وابسته به زمان نوسانگر هارمونیک و میدان الکتریکی اضافه می گردد. نوع تغییرات آن ها به صورت کاملا عمومی فرض شده است. سپس با استفاده کردن از روش های جبری، تحول زمانی این سیستم بس ذره ای کوانتومی بررسی می گردد. برای مطالعه این تحول زمانی از روش های پویای ناوردای پویای لوییس و رزنفلد و عملگر تحول زمانی استفاده شده اند. ناورداهای مناسب ساخته شده اند و ویژه توابع آن ها بدست آورده شده اند همچنین عملگرهای مناسب تحول زمانی ساخته شده اند. در انتها مقایسه بین جواب های بدست آمده در مقاله با در نظر گرفتن حالتی خاص ارائه شده است.

کلیدواژه‌ها


عنوان مقاله [English]

Quantum Many-Body System with Variable Effective Mass in Presence of Time-Dependent Relative Harmonic Interactions and Electric Filed.

نویسندگان [English]

  • Hadi Sobhani 1
  • Hassan Hassanabadi 2
1 Physics Department, Shahrood University of Technology, Shahrood, Iran
2 Physics Department, Shahrood University of Technology, Shahrood, Iran
چکیده [English]

In this article, a quantum many body system is considered. Then two time-dependent interactions have been added to the system. Changing of the interactions are assumed in general form. After that, by using algebraic method, time evolution of this many body system is investigated. In order to study the time evolution, Lewis-Riesenfeld dynamical invariant and time evolution operator method have been used. Appropriate dynamical invariants are constructed and their Eigen values are derived as well as appropriate time evolution operators are constructed. At the end, a comparison has been done between the derived results in the article considering a special case.

کلیدواژه‌ها [English]

  • quantum many body system
  • time dependent harmonic oscillator interaction
  • time dependent electric field
  • Schrodinger equation
  • Lewis-Riesenfeld dynamical invariant
  • time evolution operator

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