Path Integrals

	Generating functional approach to displaced harmonic oscillators systems.
	Generating functional approach to the quantum Brownian system.
	Study the effects of anharmonisity from preservative expansion approach.
	Generalization of optimized perturbation theory to study the dissipative system.
	Calculations of correlation functions of a free rotator in a dissipative environment.

	Y. Tanimura and S. Mukamel, Real-time path-integral approach to quantum coherence and dephasing in nonadiabatic transitions and nonlinear optical response, Phys. Rev. E47, 118-136 (1993).
	Y. Tanimura and S. Mukamel, Two-dimensional femtosecond vibrational spectroscopy of liquids, J. Chem. Phys. 99, 9496-9511 (1993).
	K. Okumura and Y. Tanimura, Unified time-path approach to the generating functional of Brownian oscillator system - the bilinearly corrected Feynman rule for nonequilibrium processes, Phys. Rev. E 53, 214-227 (1996).
	Y. Suzuki and Y. Tanimura, Optimized perturbation approach with Legendre transformation to a dissipative system: correlation functions of a Morse oscillator, Phys. Rev. E, 59, 1475-1488 (1999).
	Y. Suzuki and Y. Tanimura, Quantum theory of a two-dimensional rotator in a dissipative environment: Application to Far-infrared spectroscopy, J. Phys. Soc. Jpn, 70, 1167-1170 (2001).
	Y. 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]
	Y. Tanimura, Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations, J. Chem. Phys. 142, 144110 [20 pages] (2015) (PDF) [Open Access]