Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

作者: Jon H. Shirley

DOI: 10.1103/PHYSREV.138.B979

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摘要: The interaction of a quantum system with an oscillating field is studied in a formalism which replaces the semiclassical time-dependent Hamiltonian with a time-independent Hamiltonian represented by an infinite matrix. The formalism is developed as a mathematical equivalent to the semiclassical treatment, and interpreted as a classical approximation to the quantum treatment of the field. Combined with a perturbation theory for two nearly degenerate states, the formalism provides a convenient method for determining …

参考文章(12)
Roy J. Glauber, Coherent and Incoherent States of the Radiation Field Physical Review. ,vol. 131, pp. 2766- 2788 ,(1963) , 10.1103/PHYSREV.131.2766
F. Bloch, A. Siegert, Magnetic Resonance for Nonrotating Fields Physical Review. ,vol. 57, pp. 522- 527 ,(1940) , 10.1103/PHYSREV.57.522
A. F. Stevenson, On the Theory of the Magnetic Resonance Method of Determining Nuclear Moments Physical Review. ,vol. 58, pp. 1061- 1067 ,(1940) , 10.1103/PHYSREV.58.1061
S. H. Autler, C. H. Townes, Stark Effect in Rapidly Varying Fields Physical Review. ,vol. 100, pp. 703- 722 ,(1955) , 10.1103/PHYSREV.100.703
Isidor Isaac Rabi, Use of Rotating Coordinates in Magnetic Resonance Problems Reviews of Modern Physics. ,vol. 26, pp. 167- 171 ,(1954) , 10.1103/REVMODPHYS.26.167
Richard P. Feynman, Frank L. Vernon, Robert W. Hellwarth, Geometrical Representation of the Schrödinger Equation for Solving Maser Problems Journal of Applied Physics. ,vol. 28, pp. 49- 52 ,(1957) , 10.1063/1.1722572