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bulletY. Tanimura and R. Kubo, Time evolution of a quantum system in contact with a nearly Gaussian-Markoffian noise bath, J. Phys. Soc. Jpn. 58, 101-114 (1989). [OPEN SELECT]
bulletY. Tanimura and P. G. Wolynes, Quantum and classical Fokker-Planck equations for a Gaussian-Markovian noise bath, Phys. Rev. A43, 4131-4142 (1991).
bullet Y. Tanimura, Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath, Phys. Rev. A41, 6676-6687 (1990).
bullet Y. Tanimura and Y. Maruyama, Gaussian-Markovian quantum Fokker-Planck approach to nonlinear spectroscopy of a displaced Morse potentials system: dissociation, predissociation and optical Stark effects, J. Chem. Phys. 107, 1779-1793 (1997).
bulletY. Tanimura, Stochastic Liouville, Langevin, Fokker-Planck, and master equation approaches to quantum dissipative systems, J. Phys. Soc. Jpn.  75,  082001  (2006).  [full text PDF: OPEN SELECT]
bulletY. Tanimura, Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities, J. Chem. Phys. 141, 044114 (2014). [Open Access]
bullet Y. Tanimura, Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations, J. Chem. Phys. 142, 144110 [20 pages] (2015) (PDF) [Open Access]

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Lecture note on reduced hierarchy equations of motion (Zip file, NOV. 25, 2016)

Program Codes:

bulletMarkovian2005(Gaussian-Markovian master equation for a spin system coupled to 3D anisotropic baths)
bulletnonMarkovian2009 (with low temperature correction terms,  June. 22nd, 2010 version)
bullet nonMarkovian2009+2D (with low temperature correction terms+ subroutines for linear and 2D correlation spectra,  Oct. 3rd, 2012 version)
bullet nonMarkovian2012+2D (Drude+Brownian mode)
bulletTanimuranFP15 (real-time and imaginary-time quantum hierarchal Fokker-Planck equations,   March 21 , 2015 version)

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