Quantum mechanics
    
group of ÚTF MFF UK

Program for numerical solution of
time-dependent multichannel radial problem in quantum mechanics

Description

The program Time_Dependent_Multichannel_1D_Problem is designed to solve time-dependent multichannel radial problem in an easy and efficient way. It employs a numerical grid method introduced by T.N. Rescigno and C.W. McCurdy [1, 2] for space discretization, the exterior complex scaling method to avoid reflections of the wave packets from the boundaries and the generalized Crank-Nicholson method [3] for time propagation. Efficiency and accuracy of the program was demonstrated on a simple two-channel one-dimensional problem in [4].

Authors

Acknowledgement

The work on this program was support by

Program and codes

The program was written in Fortran 90/95 and compiled by Intel Fortran Compiler. To solve a sparse linear system it uses the Direct Sparse Solver library from Intel Math Kernel Library (MKL).

References

[1]
T.N. Rescigno and C.W. McCurdy, Phys. Rev. A 62, 032706 (2000)
[2]
C.W. McCurdy, M. Baertschy, and T.N. Rescigno, J. Phys. B 37, R137-R187 (2004)
[3]
W. van Dijk and F. M. Toyama, Phys. Rev. E 75, 036707 (2007)
[4]
K. Houfek, AIP Conf. Proc. 1168, Vol 1, 293-298 (2009), pdf
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