Quantum Invariants for Solving the Time-Dependent Schrödinger Equation in One Dimension

Bozang Li*, Sh I.En Wang, Lingyun Zhang, Xiangdong Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Extending the work of Lewis and Leach on classical invariants for solving the classical equation of motion in one-dimensional system, the quantum invariants in polynomial form of momentum are obtained. The involved Hamiltonian is time-dependent and quadratic in momentum.

Original languageEnglish
Pages (from-to)379-382
Number of pages4
JournalCommunications in Theoretical Physics
Volume31
Issue number3
DOIs
Publication statusPublished - 30 Apr 1999
Externally publishedYes

Keywords

  • One dimension
  • Quantum invariant
  • Scnrödinger equation

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