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Solution of the Schrödinger equation for a particle in an equilateral triangle
dc.contributor.authorLi, Wai‐Keeen_US
dc.contributor.authorBlinder, S. M.en_US
dc.date.accessioned2010-05-06T21:35:46Z
dc.date.available2010-05-06T21:35:46Z
dc.date.issued1985-11en_US
dc.identifier.citationLi, Wai‐Kee; Blinder, S. M. (1985). "Solution of the Schrödinger equation for a particle in an equilateral triangle." Journal of Mathematical Physics 26(11): 2784-2786. <http://hdl.handle.net/2027.42/70076>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70076
dc.description.abstractThe complete solution for the quantum‐mechanical problem of a particle in an equilateral triangle is derived. By use of projection operators, eigenfunctions belonging explicitly to each of the irreducible representations of the symmetry group C3V are constructed. The most natural definition of the quantum numbers p and q includes not only integers but also nonintegers of the class (1)/(3) and (2)/(3) modulo 1. Some relevant features relating to symmetry and degeneracy are also discussed.en_US
dc.format.extent3102 bytes
dc.format.extent282989 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/octet-stream
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleSolution of the Schrödinger equation for a particle in an equilateral triangleen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Chemistry, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherDepartment of Chemistry, Chinese University of Hong Kong, Shatin, N. T., Hong Kongen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70076/2/JMAPAQ-26-11-2784-1.pdf
dc.identifier.doi10.1063/1.526701en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceJ. Mathews and R. L. Walker, Mathematical Methods for Physicists (Benjamin, New York, 1970), 2nd ed. pp. 237 ff.en_US
dc.identifier.citedreferenceH. R. Krishnamurthy, H. S. Mani, and H. C. Venna, J. Phys. A 15, 2131 (1982). See also J. W. Turner, J. Phys. A 17, 2791 (1984).en_US
dc.identifier.citedreferenceG. B. Shaw, J. Phys. A 7, 1357 (1974).en_US
dc.identifier.citedreferenceM. G. Lamé, Leçqns sur la Théorie Mathématique de l’ Elasticité des Corps Solides (Bachelier, Paris, 1852), §57.en_US
dc.identifier.citedreferenceW.‐K. Li, J. Chem. Educ. 61, 1034 (1984).en_US
dc.identifier.citedreferenceJ. W. Turner, J. Phys. A 17, 2791 (1984).en_US
dc.identifier.citedreferenceW.‐K. Li, Am. J. Phys. 50, 666 (1982).en_US
dc.identifier.citedreferenceSee, for example, E. D. Bolker, Elementary Number Theory (Benjamin, New York, 1970), p. 121.en_US
dc.owningcollnamePhysics, Department of


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