A comparative study of time dependent quantum mechanical wave packet evolution methods
نویسندگان
چکیده
We present a detailed comparison of the efficiency and accuracy of the secondand third-order split operator methods, a time dependent modified Cayley method, and the Chebychev polynomial expansion method for solving the time dependent Schrodinger equation in the onedimensional double well potential energy function. We also examine the efficiency and accuracy of the split operator and modified Cayley methods for the imaginary time propagation.
منابع مشابه
Comparative Study of Semiclassical Approaches to Quantum Dynamics
Quantum states can be described equivalently by density matrices, Wigner functions or quantum tomograms. We analyze the accuracy and performance of three related semiclassical approaches to quantum dynamics, in particular with respect to their numerical implementation. As test cases, we consider the time evolution of Gaussian wave packets in different one-dimensional geometries, whereby tunneli...
متن کاملThe Quantum Statistical Mechanical Theory of Transport Processes
A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.
متن کاملTheoretical and computational study of time dependent scattering on a 2D surface
THEORETICAL AND COMPUTATIONAL STUDY OF TIME DEPENDENT SCATTERING ON A 2D SURFACE by Michael Sohn Dr. Bernard Zygelman, Examination Committee Chair Professor of Physics University of Nevada, Las Vegas The quantum mechanical treatment of the elastic scattring of atoms from a crystal surface provides valuable information, such as surface properties and gas-surface interaction potentials. However, ...
متن کاملTime-dependent analysis of carrier density and potential energy in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD)
Interaction and correlation effects in quantum dots play a fundamental role in defining both their equilibrium and transport properties. Numerical methods are commonly employed to study such systems. In this paper we investigate the numerical calculation of quantum transport of electrons in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD). The simulation is based on the imaginary time...
متن کامل0 Time Arrow in Wave - Packet Evolution
Availability of short, femtosecond laser pulses has recently made feasible the probing of phases in an atomic or molecular wave-packet (superposition of energy eigenstates). With short duration excitations the initial form of the wave-packet is an essentially real " doorway state " , and this develops phases for each of its component amplitudes as it evolves. It is suggested that these phases a...
متن کامل