• Corpus ID: 233231607

A simple proof of Floquet's theorem for the case of unitary evolution in quantum mechanics

@inproceedings{Martin2021ASP,
  title={A simple proof of Floquet's theorem for the case of unitary evolution in quantum mechanics},
  author={J. D. D. Martin and A. N. Poertner},
  year={2021}
}
We present a constructive proof of Floquet’s theorem for the special case of unitary time evolution in quantum mechanics. The proof is straightforward and suitable for study in courses on quantum mechanics. 
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References

SHOWING 1-10 OF 10 REFERENCES
The Principles of Quantum Mechanics
IT is now twenty years since the theory of quantum mechanics was founded, and not much less since the first edition of Dirac's book was published. Ever since, it has been a classic of scientific…
Introduction to Quantum Mechanics
The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special…
Concrete mathematics - a foundation for computer science
From the Publisher: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid…
Modern Quantum Mechanics
1. Fundamental Concepts. 2. Quantum Dynamics. 3. Theory of Angular Momentum. 4. Symmetry in Quantum Mechanics. 5. Approximation Methods. 6. Identical Particles. 7. Scattering Theory. Appendices.…
Ordinary Differential Equations.
together with the initial condition y(t0) = y0 A numerical solution to this problem generates a sequence of values for the independent variable, t0, t1, . . . , and a corresponding sequence of values…
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…
Phys
  • Rev. 138, B979
  • 1965
Phys
  • Rev. A 101, 032116
  • 2020
B At
  • Mol. Opt. Phys. 49, 013001
  • 2016
Tannor, Introduction to Quantum Mechanics: A Time-Dependent Perspective (University Science Books, Sausalito
  • 2007