کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1857617 | 1529929 | 2009 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On Wigner functions and a damped star product in dissipative phase-space quantum mechanics On Wigner functions and a damped star product in dissipative phase-space quantum mechanics](/preview/png/1857617.png)
Dito and Turrubiates recently introduced an interesting model of the dissipative quantum mechanics of a damped harmonic oscillator in phase space. Its key ingredient is a non-Hermitian deformation of the Moyal star product with the damping constant as deformation parameter. We compare the Dito–Turrubiates scheme with phase-space quantum mechanics (or deformation quantization) based on other star products, and extend it to incorporate Wigner functions. The deformed (or damped) star product is related to a complex Hamiltonian, and so necessitates a modified equation of motion involving complex conjugation. We find that with this change the Wigner function satisfies the classical equation of motion. This seems appropriate since non-dissipative systems with quadratic Hamiltonians share this property.
Journal: Annals of Physics - Volume 324, Issue 3, March 2009, Pages 670–681