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Two examples illustrating the differences between classical and quantum mechanics

dc.contributor.authorReed, Michael C.en_US
dc.contributor.authorRauch, Jeffreyen_US
dc.date.accessioned2006-09-11T17:52:00Z
dc.date.available2006-09-11T17:52:00Z
dc.date.issued1973-06en_US
dc.identifier.citationRauch, Jeffrey; Reed, Michael; (1973). "Two examples illustrating the differences between classical and quantum mechanics." Communications in Mathematical Physics 29(2): 105-111. <http://hdl.handle.net/2027.42/46507>en_US
dc.identifier.issn1432-0916en_US
dc.identifier.issn0010-3616en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46507
dc.description.abstractTwo examples are presented: The first shows that a potential V ( x ) can be in the limit circle case at ∞ even if the classical travel time to ∞ is infinite. The second shows that V ( x ) can be in the limit point case at ∞ even though the classical travel time to infinity is finite. The first example illustrates the reflection of quantum waves at sharp steps. The second example illustrates the tunnel effect.en_US
dc.format.extent345616 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.titleTwo examples illustrating the differences between classical and quantum mechanicsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, The University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherDepartment of Mathematics, Princeton University, Princeton, New Jerseyen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46507/1/220_2005_Article_BF01645657.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01645657en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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