کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10728057 1037824 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system
چکیده انگلیسی
We offer a new Hamiltonian formulation of the classical Pais-Uhlenbeck oscillator and consider its canonical quantization. We show that for the non-degenerate case where the frequencies differ, the quantum Hamiltonian operator is a Hermitian operator with a positive spectrum, i.e., the quantum system is both stable and unitary. Furthermore it yields the classical Pais-Uhlenbeck oscillator in the classical limit. A consistent description of the degenerate case based on a Hamiltonian that is quadratic in momenta requires its analytic continuation into a complex Hamiltonian system possessing a generalized PT-symmetry (an involutive antilinear symmetry). We devise a real description of this complex system, derive an integral of motion for it, and explore its quantization.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 375, Issue 2, 1 December 2010, Pages 93-98
نویسندگان
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