Abstract
Using Bohmian mechanics, we analyze the problem of describing escape time, escape position and sojourn time—quantities for which the quantum formalism assigns no self-adjoint operator—for quantum systems. The large-scale behavior relevant to scattering theory is also discussed.
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References
G. R. Allcock, The time of arrival in quantum mechanics I-III, Ann. of Phys. 53, 253 (1969).
H. Ekstein and A. J. F. Siegert, On a reinterpretation of decay experiments, Ann. of Phys. 68, 509 (1971).
B. Misra and E C G. Sudarshan, The Zeno’s paradox in quantum theory, Journal of Math. Physics 18, 756 (1977).
W. Pauli, Encyclopedia of physics, S. Flügge ed., Springer, Berlin, Heidelberg, New York, 60 (1958).
Ph. Martin, Time delay of quantum scattering processes, Acta Physica Austriaca, Suppl. XXIII, 157 (1981).
J.D. Dollard: Scattering into cones, Comm. math. Phys. 12, 193 (1969).
J.-M. Combes, R. G. Newton, and R. Shtokhamer, Scattering into cones and flux across surfaces, Phys. Rev. D 11, 366 (1975).
D. Bohm, A suggested interpretation of quantum theory in terms of hidden variables I+II, Phys. Rev. 85, 166 (1952).
D. Dürr, S. Goldstein, and N. Zanghi, Quantum equilibrium and the origin of absolute uncer tainty, J. Stat. Phys. ,67, 843 (1992).
C. R. Leavens, Transmission, reflection and dwell times within Bohm’s causal interpretation of quantum mechanics, Solid State Comm. 74, 923 (1990).
K. Berndl, D. Dürr, G. Peruzzi, S. Goldstein, and N. Zanghí, On the global existence of Bohmian mechanics, (in preparation).
W. Amrein, J. Jauch, and K. Sinha, Scattering Theory in Quantum Mechanics, Lecture Notes and Suppl. in Physics, W.A. Benjamin Inc., London-Amsterdam-Don Mills-Sydney-Tokyo (1977).
D. Davies, Quantum Theory of Open Systems, Academic Press, London-New York-San Franzisco (1976).
M. Daumer, PhD thesis at the LMU, Munich, (in preparation).
M. Daumer, D. Dür, S. Goldstein, and N. Zanghí: On the role of operators in quantum theory, (in preparation).
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© 1994 Springer Science+Business Media New York
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Daumer, M., Dürr, D., Goldstein, S., Zanghí, N. (1994). Scattering and the Role of Operators in Bohmian Mechanics. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_39
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_39
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6047-6
Online ISBN: 978-1-4615-2460-1
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