حالت های همدوس و گربه در صفحه مختلط کوانتومی برای نوسانگرهای کوانتومی بیدن هارن-مک فارلن و آریک-کون
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/مرضیه سیاح فرد
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: فیزیک
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، ۱۳۹۶
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، میرزائی
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چاپی
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فاقد کلیدواژه
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دکتری
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ریاضی فیزیک
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۱۳۹۶/۱۰/۰۶
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تبریز
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در این رساله با استفاده از جبرq -نوسانگر بیدن هارن-مک فارلن، *-جبر مختلطc_(q
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۱) ) are constructed as the eigenstates of the lowering operator of a su_q (۱,۱) algebra with the left eigenvalues. We present the appropriate noncommutative measures in order to realize the resolution of the identity condition by the even and odd q-cat states. Then, we obtain the q-Bargmann-Fock realizations of the Fock representation of the su_q (۱,۱) algebra as well as the inner products of standard states in the q-Bargmann representations of the even and odd subspaces. Also, the Euler's formula of the q-factorial and the Gaussian integrals based on the noncommutative q-integration are obtained. Violation of the uncertainty relation, photon antibunching effect and sub-Poissonian photon statistics by the even and odd q-cat states are considered in the cases ۰۱-)