Analytically solvable Hamiltonians for quantum two-level systems and their dynamics

A. Messina*, H. Nakazato

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


A simple systematic way of obtaining analytically solvable Hamiltonians for quantum two-level systems is presented. In this method, a time-dependent Hamiltonian and the resulting unitary evolution operator are connected through an arbitrary function of time, furnishing us with new analytically solvable cases. The method is surprisingly simple, direct, and transparent and is applicable to a wide class of two-level Hamiltonians with no involved constraint on the input function. A few examples illustrate how the method leads to simple solvable Hamiltonians and dynamics.

Original languageEnglish
Article number445302
JournalJournal of Physics A: Mathematical and Theoretical
Issue number44
Publication statusPublished - 2014 Nov 7


  • Quantum two-level system
  • Solvable model
  • Time-dependent Hamiltonian

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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