Complex Mechanics ~ An Unified Mechanics

2010

1001       Nonlinear dynamics in quantum world
                Nonlinear Science Letters A, Vol. 1, 2009, pp.31-37
                Ciann-Dong Yang



2009

0901        A new hydrodynamic formulation of complex-valued quantum mechanics
                Chaos, Solitons & Fractals, Vol. 42, 2009, pp.453-468
                Ciann-Dong Yang


0902       Stability and quantization of complex-valued nonlinear quantum systems
                Chaos, Solitons & Fractals, Vol. 42, 2009, pp.711-723
                Ciann-Dong Yang


0903       Complex spin and antispin dynamics: A generalization of de Broglie–Bohm theory to complex

                space

                Chaos, Solitons & Fractals, Vol. 41, 2009, pp.317-333
                Ciann-Dong Yang


0904      Invariant eigen-structure in complex-valued quantum mechanics

               International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 10, 2009,   

               pp.407-423

               Ciann-Dong Yang and Shiang-Yi Han


0905      Quantum index theory: relations between quantum phase and quantum number                                          

               International Journal of Nonlinear Sciences and Numerical Simulation, Vol.10, 2009, 

               pp. 907-925

               Ciann-Dong Yang and Teng-Yi Cheng


0906      A scientific realization and verification of Yin-Yang theory: complex-valued mechanics

               International Journal of Nonlinear Sciences and Numerical Simulation, Vol.10, 2009, 

               pp. 1585-1605

               Ciann-Dong Yang


0907      Nonlinear quantum motions in 2D nano-channels-part I: complex potential and quantum 

               trajectories

               International Journal of Nonlinear Sciences and Numerical Simulation, Vol.10, 2009, 

               pp. 1607-1628

               Ciann-Dong Yang and Chen-Bin Lee



2008

0801       Spin: Nonlinear zero dynamics of orbital motion
                Chaos, Solitons & Fractals, Volume 37, Issue 4, August 2008, Pages 1158-1171
                Ciann-Dong Yang


0802       Strong chaos in one-dimensional quantum system
                Chaos, Solitons & Fractals, Volume 37, Issue 4, August 2008, Pages 988-1001
                Ciann-Dong Yang, Chia-Hung Wei


0803       Complex dynamics in diatomic molecules. Part I: Fine structure of internuclear potential
                Chaos, Solitons & Fractals, Volume 37, Issue 4, August 2008, Pages 962-976
                Ciann-Dong Yang


0804       On the existence of complex spacetime in relativistic quantum mechanics
                Chaos, Solitons & Fractals, Volume 38, Issue 2, October 2008, Pages 316-331
                Ciann-Dong Yang


0805       Complex dynamics in diatomic molecules. Part II: Quantum trajectories
                Chaos, Solitons & Fractals, Volume 38, Issue 1, October 2008, Pages 16-35
                Ciann-Dong Yang, Hung- Jen Weng


0806       Trajectory interpretation of the uncertainty principle in 1D systems using complex Bohmian   

                mechanics

               Physics Letters A, Volume 372, 6 October 2008, Pages 6240-6253 

               Ciann-Dong Yang




2007   

0701        Complex tunneling dynamics
                 Chaos, Solitons & Fractals, Volume 32, Issue 2, April 2007, Pages 312-345
                 Ciann-Dong Yang


0702        The origin and proof of quantization axiom image in complex spacetime
                 Chaos, Solitons & Fractals, Volume 32, Issue 2, April 2007, Pages 274-283
                 Ciann-Dong Yang


0703        Parameterization of all path integral trajectories
                 Chaos, Solitons & Fractals, Volume 33, Issue 1, July 2007, Pages 118-134
                 Ciann-Dong Yang, Chia-Hung Wei


0704        Quantum motion in complex space
                 Chaos, Solitons & Fractals, Volume 33, Issue 4, August 2007, Pages 1073-1092
                 Ciann-Dong Yang


0705         Nonlinear dynamics goverining quantum transition behavior

                 International Journal of Nonlinear Sciences and Numerical Simulation, 8(3), 411-416

                 Ciann-Dong Yang, Shiang-Yi Han, and Fei-Bin Hsiao




2006

0601       On modeling and visualizing single-electron spin motion
                Chaos, Solitons & Fractals, Volume 30, Issue 1, October 2006, Pages 41-50
                Ciann-Dong Yang  


0602       Modeling quantum harmonic oscillator in complex domain
                Chaos, Solitons & Fractals, Volume 30, Issue 2, October 2006, Pages 342-362
                Ciann-Dong Yang


0603       Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum

                operators, and proof of quantization axiom

                Annals of Physics, Volume 321, Issue 12, December 2006, Pages 2876-2926
                Ciann-Dong Yang 


0604       Solving quantum trajectories in Coulomb potential by quantum Hamilton-Jacobi

                theory

                International Journal of Quantum Chemistry, Vol. 106, 1620-1639
                Ciann-Dong Yang

2005

0501      Wave-particle duality in complex space
               Annals of Physics, Volume 319, Issue 2, October 2005, Pages 444-470
               Ciann-Dong Yang    


0502      Quantum dynamics of hydrogen atom in complex space

               Annals of Physics, Volume 319, Issue 2, October 2005, Pages 399-443
               Ciann-Dong Yang            

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