Extended Space Expectation Values in Quantum Dynamical System Evolutions


Demiralp M.

International Conference of Computational Methods in Sciences and Engineering 2014 (ICCMSE), Athens, Greece, 4 - 07 April 2014, vol.1618, pp.879-882 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1618
  • Doi Number: 10.1063/1.4897873
  • City: Athens
  • Country: Greece
  • Page Numbers: pp.879-882

Abstract

The time variant power series expansion for the expectation value of a given quantum dynamical operator is well-known and well-investigated issue in quantum dynamics. However, depending on the operator and Hamiltonian singularities this expansion either may not exist or may not converge for all time instances except the beginning of the evolution. This work focuses on this issue and seeks certain cures for the negativities. We work in the extended space obtained by adding all images of the initial wave function under the system Hamiltonian's positive integer powers. This requires the introduction of certain appropriately defined weight operators. The resulting better convergence in the temporal power series urges us to call the new defined entities "extended space expectation values" even though they are constructed over certain weight oparetors and are somehow pseudo expectation values.