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On the Continuum Limit of the GRW Model

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Do Wave Functions Jump?

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 198))

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Abstract

We consider the relation between time-discrete and continuous models for wave function collapse. In the special case of the original GRW model and the Diósi model, it can be made mathematically precise how the latter arises as a scaling limit of the former.

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References

  1. A. Bassi. Collapse models: analysis of the free particle dynamics. J. Phys. A, 38(14):3173–3192, 2005.

    Article  MathSciNet  Google Scholar 

  2. A. Bassi, D. Dürr, and Martin Kolb. On the long time behavior of free stochastic Schrödinger evolutions. Rev. Math. Phys., 22(1):55–89, 2010.

    Google Scholar 

  3. A. Bassi and G.C. Ghirardi. Dynamical reduction models. Phys. Rep., 379(5-6):257–426, 2003.

    Article  ADS  MathSciNet  Google Scholar 

  4. L. Diósi. Continuous quantum measurement and Itô formalism. Phys. Lett. A, 129(8-9):419–423, 1988.

    Article  ADS  MathSciNet  Google Scholar 

  5. L. Diósi. Models for universal reduction of macroscopic quantum fluctuations. Phys. Rev. A, 40(3):1165–1174, Aug 1989.

    Article  ADS  Google Scholar 

  6. D. Dürr, G. Hinrichs and M. Kolb. On a Stochastic Trotter Formula with Application to Spontaneous Localization Models. J. Stat. Phys., 143(6):1096–1119, 2011.

    Google Scholar 

  7. G. C. Ghirardi, A. Rimini, and T. Weber. Unified dynamics for microscopic and macroscopic systems. Phys. Rev. D (3), 34(2):470–491, 1986.

    Google Scholar 

  8. Gian Carlo Ghirardi, Philip Pearle, and Alberto Rimini. Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles. Phys. Rev. A (3), 42(1):78–89, 1990.

    Google Scholar 

  9. C. M. Mora and Rolando Rebolledo. Regularity of solutions to linear stochastic Schrödinger equations. Infin. Dimens. Anal. Quantum Probab. Relat. Top., 10(2):237–259, 2007.

    Google Scholar 

  10. C. M. Mora and Rolando Rebolledo. Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions. Ann. Appl. Probab., 18(2):591–619, 2008.

    Google Scholar 

  11. R. Tumulka. The point processes of the GRW theory of wave function collapse. Rev. Math. Phys., 21(2):155–227, 2009.

    Article  MathSciNet  Google Scholar 

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Correspondence to Günter Hinrichs .

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Hinrichs, G. (2021). On the Continuum Limit of the GRW Model. In: Allori, V., Bassi, A., Dürr, D., Zanghi, N. (eds) Do Wave Functions Jump? . Fundamental Theories of Physics, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-030-46777-7_13

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