کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1864436 1037731 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Validity of the time-dependent variational approximation to the Gaussian wavepacket method applied to double-well systems
ترجمه فارسی عنوان
اعتبار تقریبی تنوع وابسته به زمان به روش موجک گاوسی که برای سیستم های دوبلین کاربرد دارد
کلمات کلیدی
موجک گاوس، تقارن تنوع وابسته به زمان، روش طیفی، پتانسیل دوگانه
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• Validity of the time-dependent variational approach (TDVA) is examined.
• Dynamics in TDVA is compared with that in the spectral method (SM).
• Results of TDVA for double-well system (DWS) are different from those of SM.
• A Gaussian wavepacket cannot be expressed by a single one at t>0t>0 for DWS.
• An identity relation in TDVA does not hold in SM for DWS.

We have examined the validity of the time-dependent variational approximation (TDVA) to the Gaussian wavepacket method (GWM) for quantum double-well (DW) systems, by using the quasi-exact spectral method (SM). Comparisons between results of wavefunctions, averages of position and momentum, the auto-correlation function, and an uncertainty product calculated by SM and TDVA have been made. It has been shown that a given initial Gaussian wavepacket in SM is quickly deformed at t>0t>0 where a wavepacket cannot be expressed by a single Gaussian, and that assumptions on averages of higher-order fluctuations in TDVA are not justified. These results cast some doubt on an application of TDVA to DW systems. Gaussian wavepacket dynamics in anharmonic potential systems is studied also.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 378, Issue 9, 7 February 2014, Pages 691–698
نویسندگان
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