RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass
Tài liệu tham khảo
Batouli, 2014, Classical interpretation of a deformed quantum oscillator, Found. Phys., 44, 105, 10.1007/s10701-013-9766-9
Mostafazadeh, 1997, Inverting time-dependent harmonic oscillator potential by a unitary transformation and a new class of exactly solvable oscillators, Phys. Rev. A, 55, 4084, 10.1103/PhysRevA.55.4084
Kim, 2004, Time-dependent displaced and squeezed number states, J. Korean Phys. Soc., 44, 446
Kiss, 1994, Time evolution of harmonic oscillators with time-dependent parameters: a step-function approximation, Phys. Rev. A, 49, 4935, 10.1103/PhysRevA.49.4935
Dantas, 1992, Harmonic oscillator with time-dependent mass and frequency, Braz. J. Phys., 22, 33
Um, 2002, Quantum theory of the harmonic oscillator in nonconservative systems, J. Korean Phys. Soc., 41, 594
Moya-Cessa, 2007, Time dependent quantum harmonic oscillator subject to a sudden change of mass: continuous solution, Rev. Mex. Fis., 53, 42
Choi, 2005, Investigation of the coherent wave packet for a time-dependent damped harmonic oscillator, J. Appl. Math. Comput., 17, 495
Um, 2000, Space-time transformation approach to the damped harmonic oscillator with and without an inverse quadratic potential, J. Korean Phys. Soc., 37, 162
Choudhuri, 2008, Symmetries and conservation laws of the damped harmonic oscillator, Pramana J. Phys., 70, 657, 10.1007/s12043-008-0027-y
Ghosh, 2009, On the quantization of damped harmonic oscillator, Acta Phys. Pol. B, 40, 49
Baldiotti, 2011, Quantization of the damped harmonic oscillator revisited, Phys. Lett. A, 375, 1630, 10.1016/j.physleta.2011.03.009
Ji-Suo, 2000, Quantum wave function and fluctuations of mesoscopic RLC circuit, Chin. Phys. Lett., 17, 528, 10.1088/0256-307X/17/7/023
Zhang, 2002, Quantum uncertainties of a mesoscopic inductance-resistance coupled circuit, J. Korean Phys. Soc., 40, 325
Pahlavani, 2010, Minimal coupling approach to quantum RLC circuits, Chin. J. Phys., 48, 245
Mai-lin, 2002, New way to quantize time-dependent RLC electric circuit and quantum fluctuations, Trans. Tianjin Univ., 8, 8
You-Hong, 2008, Invariants and quantum fluctuations of a mesoscopic RLC circuit in a squeezed state and squeezed number state, Commun. Theor. Phys., 49, 1052, 10.1088/0253-6102/49/4/51
Mai-Lin, 2002, Nonzero temperature squeezing of the time-dependent harmonic oscillator and the applications to the capacitive coupled electric circuit, Commun. Theor. Phys., 37, 519, 10.1088/0253-6102/37/5/519
Xiao-Guang, 2000, Quantum fluctuation of a mesoscopic RLC circuit in a displaced squeezed Fock state, Chin. Phys. Lett., 17, 171, 10.1088/0256-307X/17/3/006
Chen, 1995, Quantum effects in a mesoscopic circuit, Phys. Lett. A, 205, 121, 10.1016/0375-9601(95)00517-7
Jannussis, 2001, Time dependent Hamilton operator of an RLC circuit with a source, 72
Utreras Díaz, 2008, Quantum RLC circuits: charge discreteness and resonance, Phys. Lett. A, 372, 6527, 10.1016/j.physleta.2008.09.008
Utreras Díaz, 2008, Discrete-charge quantum circuits and electrical resistance, Phys. Lett. A, 372, 5059, 10.1016/j.physleta.2008.05.052
Li, 1996, Quantum theory for mesoscopic electric circuits, Phys. Rev. B, 53, 4027, 10.1103/PhysRevB.53.4027
Li, 2000, Spin-Statistical Connection and Commutation Relations: Experimental Test and Theoretical Implications, vol. 545
Saavedra, 1981, A generalization of quantum mechanics for high energies and quark physics, Phys. Lett., 81
Perelomov, 1996, On the completeness of some subsystems of q-deformed coherent states, Phys. Acta, 68, 554
Arik, 1976, Hilbert spaces of analytic functions and generalized coherent states, J. Math. Phys., 17, 524, 10.1063/1.522937
Biedenharn, 1989, The quantum group SUq(2) and a q-analogue of the boson operators, J. Phys. A, 22, L873, 10.1088/0305-4470/22/18/004
Macfarlane, 1989, On q-analogues of the quantum harmonic oscillator and the quantum group SUq(2), J. Phys. A, 22, 4581, 10.1088/0305-4470/22/21/020
Buzek, 1992, The Jaynes–Cummings model with a q analogue of a coherent state, J. Mod. Opt., 39, 949, 10.1080/09500349214550981
Eremin, 2006, The q-deformed harmonic oscillator, coherent states, and the uncertainty relation, Theor. Math. Phys., 147, 709, 10.1007/s11232-006-0072-y
Gazeau, 2013, Pisot q-coherent states quantization of the harmonic oscillator, Ann. Phys., 330, 220, 10.1016/j.aop.2012.11.012