133,020 research outputs found
On Real Solutions of the Equation Φ\u3csup\u3e\u3cem\u3et\u3c/em\u3e\u3c/sup\u3e (\u3cem\u3eA\u3c/em\u3e) = 1/\u3cem\u3en\u3c/em\u3e J\u3csub\u3e\u3cem\u3en\u3c/em\u3e\u3c/sub\u3e
For a class of n × n-matrices, we get related real solutions to the matrix equation Φt (A) = 1/n Jn by generalizing the approach of and applying the results of Zhang, Yang, and Cao [SIAM J. Matrix Anal. Appl., 21 (1999), pp. 642–645]. These solutions contain not only those obtained by Zhang, Yang, and Cao but also some which are neither diagonally nor permutation equivalent to those obtained by Zhang, Yang, and Cao. Therefore, the open problem proposed by Zhang, Yang, and Cao in the cited paper is solved
Zero energy correction method for non-Hermitian Harmonic oscillator with simultaneous transformation of co-ordinate and momentum: Wave function analysis under Iso-spectral condition
We present a complete analysis on energy and wave function of Harmonic
oscillator with simultaneous non-hermitian transformation of co-ordinate ( and momentum for getting energy
eigenvalue using perturbation theory under iso-spectral condition. Further we
notice that two different frequency of oscillation ()correspond
to same energy eigenvalue, which can also be verified using Lie algebraic
approach [Zhang et.al J.Math.Phys 56 ,072103 (2015)]. Interestingly wave
function analysis using similarity transformation [F.M. Fernandez, Int. J.
Theo. Phys. (2015)(in Press)] refers to a very special case.Comment: This paper for replacement .(i) Minor change in title reflecting wave
function analysis(ii) Abstract-chaed suitably to refect wave function (iii)
Text original work with information on wave function ,comparison and slight
modification in references.Kindly accep
Utility of fatty acid profile and in vitro immune cell activation for chemical and biological standardization of Arthrospira/Limnospira
Corresponding author (NCNPR): Jin Zhang, [email protected]://egrove.olemiss.edu/pharm_annual_posters_2022/1021/thumbnail.jp
Book Review: Chinese Human Smuggling Organizations
This is a review of Chinese Human Smuggling Organizations: Families, Social Networks, and Cultural Imperatives, by Sheldon X. Zhang, Stanford University Press, California, 2008
On the spectral characterization of pineapple graphs
The pineapple graph is obtained by appending pendant edges to a
vertex of a complete graph (). Zhang and Zhang
["Some graphs determined by their spectra", Linear Algebra and its
Applications, 431 (2009) 1443-1454] claim that the pineapple graphs are
determined by their adjacency spectrum. We show that their claim is false by
constructing graphs which are cospectral and non-isomorphic with for
every and various values of . In addition we prove that the claim
is true if , and refer to the literature for , , and
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