Quantum cards and quantum rods

• Authors: Milan Batista , Joze Peternelj
• Languages of publication: EN

Abstracts

EN

Quantum mechanical analysis of a rigid rod with one end fixed to a flat table is presented. Assuming that the rod is initally in the upright orientation, “the time of fall” is calculated using WKB wavefunctions representing energy eigenstates near the barrier summit.

Keywords

EN

quantum mechanics; WKB approximation; time evolution

Discipline

• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 171-177

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Milan Batista

• Faculty of Maritime Studies and Transport, University of Ljubljana, Pot pomoršèakov 4, 6320, Portorož, Slovenia

author

Joze Peternelj

• Division of Mathematics and Physics, Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1001, Ljubljana, Slovenia

References

• [1] M. Tegmark, J. Wheeler, Sci. Am. 54, 54 2001
• [2] M. Batista, J. Peternelj, arXiv:physics/0607080
• [3] W.H. Zurek, Rev. Mod. Phys. 75, 715 (2003) http://dx.doi.org/10.1103/RevModPhys.75.715[Crossref]
• [4] S. L. Adler, Stud. Hist. Philos. Mod. Phys. 348, 135 (2003) http://dx.doi.org/10.1016/S1355-2198(02)00086-2[Crossref]
• [5] R. Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe (Knopf, New York, 2006)
• [6] L.S. Schulman, J. Math. Phys. 12, 304 (1971) http://dx.doi.org/10.1063/1.1665592[Crossref]
• [7] J.S. Dowker, J. Phys. A 5, 936 (1972) http://dx.doi.org/10.1088/0305-4470/5/7/004[Crossref]
• [8] J. Riess, Helv. Phys. Acta 45, 1066 (1972)
• [9] M. Reed, B. Simon, Methods of Modern Theoretical Physics II (Academic Press, New York, 1975)
• [10] K. Kowalski, K. Podlaski, J. Rembieliñski, Phys. Rev. A 66, 0321118 (2002)
• [11] D. Z. Albert, Quantum Mechanics and Experience (Harvard UP, Cambridge, 1992)
• [12] H.D. Zeh, Decoherence and the Appearance of a Classical World, In: D. Giulini et al. (Eds.), Quantum Theory (Springer, Berlin, 1996) 5
• [13] L.D. Landau, E.M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1977)
• [14] P.M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953)
• [15] K.W. Ford, D.L. Hill, M. Wakano, J.A. Wheeler, Ann. Phys. 7, 239 (1959) http://dx.doi.org/10.1016/0003-4916(59)90025-9[Crossref]
• [16] N. Fröman, P.O. Fröman, Physical Problems Solved by the Phase Integral Method (Cambridge UP, Cambridge, 2002)
• [17] M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, 1968)
• [18] R.P. Feynman, Int. J. Theor. Phys. 21, 467 (1982) http://dx.doi.org/10.1007/BF02650179[Crossref]
• [19] J. Bell, Physics World, Aug. 1990, 33
• [20] D.S. Saxon, Elementary Quantum Mechanics (Holden Day, San Francisco, 1968)
• [21] J.G. Muga, C.R. Leavens, Phys. Rep. 338, 353 (2000) http://dx.doi.org/10.1016/S0370-1573(00)00047-8[Crossref]
• [22] W. Pauli, In: S. Flugge (Ed.), Encyklopedia od Physics 5/1 (Springer, Berlin, 1958)
• [23] P. Claverie, G. Jona-Lasinio, Phys. Rev. A 33, 2245 (1986) http://dx.doi.org/10.1103/PhysRevA.33.2245[Crossref]
• [24] M. Batista, M. Lakner, J. Peternelj, Eur. J. Phys. 25, 145 (2004) http://dx.doi.org/10.1088/0143-0807/25/2/002[Crossref]

Identifiers

DOI

10.2478/s11534-008-0012-6