Krishnamurthy, H. R. ; Mani, H. S. ; Verma, H. C.
(1982)
*Exact solution of the schrodinger equation for a particle in a tetrahedral box*
Journal of Physics A: Mathematical and General, 15
(7).
pp. 2131-2137.
ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/15/7/024

Related URL: http://dx.doi.org/10.1088/0305-4470/15/7/024

## Abstract

The authors obtain the exact solution of the Schrodinger equation for a particle confined to (i) an equilateral triangle, (ii) a tetrahedral box with corners (- pi / square root 2,- pi / square root 2,- pi / square root 2), ( pi / square root 2,- pi / square root 2, pi /2); (- pi / square root 2, pi / square root 2, pi /2) and ( pi square root 2, pi / square root 2,- pi /2). The energies are: for (i) E _{nl}=(8h(cross)^{2} pi ^{2}/9mL^{2})(n^{2}+l^{2}-ln) where L is the side of the triangle and l, n are distinct non-zero integers and for (ii), E_{lmn}=(h(cross)^{2}/8m)^{∗}(3(l^{2}+m^{2}+n^{2})-2lm-2mn-2nl) where l, m and n are distinct non-zero integers. The wavefunctions have been classified according to the irreducible representation of the corresponding symmetry groups.

Item Type: | Article |
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ID Code: | 17538 |

Deposited On: | 16 Nov 2010 09:36 |

Last Modified: | 06 Jun 2011 07:10 |

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