Stability of pure states in quantum mechanics

  title={Stability of pure states in quantum mechanics},
  author={Konstantin G. Zloshchastiev},
  journal={arXiv: Quantum Physics},
We demonstrate that quantum fluctuations can cause, under certain conditions, the instability of pure states. The degree and type of such instability are controlled by the environment-induced anti-Hermitian parts of Hamiltonians. This is drastically different from the Hermitian case where both the purity's value and pure states are preserved during time evolution. The instability of pure states is not preassigned in the evolution equation but arises as the emergent phenomenon in its solutions… 
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  • 2017
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PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3.