Supersymmetric WKB Approximation of Anharmonic Potential V（r）=ar^2＋br^-4＋cr^-6

This article uses the supersymmetric WKB approximation to obtain the approximate energy levels and wave functions of the anharmonic potential V（r） = ar^2 ＋ br^-4 ＋ cr^-6 in order to tesify the correctness between [Phys. Left. A 170 （1992） 335] and the paper written by M. Landtman [Phys. Left. A 175 （1993） 147].     

Exact analytical solution of a nonlinear equation arising in heat transfer

This Letter shows that the nonlinear equation arising in heat transfer recently investigated in papers [D.D. Ganji, Phys. Lett. A 355 (2006) 337; S. Abbasbandy, Phys. Lett. A 360 (2006) 109; Hafez Tari, D.D. Ganji, H. Babazadeh, Phys. Lett. A 363 (2007) 213] and [M.S.H. Chowdhury, I. Hashim, Phys. Lett. A 372 (2008) 1240] is exactly solvable, analyses the equation fully and, furthermore, gives analytic exact solution in implicit form for each value of parameters of equation.     

Shape Coexistence for 179Hg in Relativistic Mean-Field Theory

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Reply to: “Comment on: ‘Exposed-key weakness of αη’ [Phys. Lett. A 370 (2007) 131]” [Phys. Lett. A 372 (2008) 7091]

We present simulations countering the claims in [R. Nair, H.P. Yuen, Phys. Lett. A 372 (2008) 7091] that the approximation given in [C. Ahn, K. Birnbaum, Phys. Lett. A 370 (2007) 131, quant-ph/0612058] for the eavesdropper's entropy on the encrypted key cannot be valid, and additionally discuss ways in which our views on security requirements differ from those given in [R. Nair, H.P. Yuen, Phys. Lett. A 372 (2008) 7091].     

Quantum Correlations in a Family of Two-Qubit Separable States

Quantum correlations in a family of two-qubit separable classical-quantum correlated states are intensively studied with four different approaches, namely, quantum discord [Phys. Rev. Lett. 88 (2002) 017901], measurement- induced disturbance (MID) [Phys. Rev. A 77 (2008) 022301], ameliorated MID [J. Phys. A: Math. Theor. 44 (2011) 352002] and quantum dissonance [Phys. Rev. Lett. 104 (2010) 080501]. Quantum correlations captured with different approaches are compared and discussed so that their three distinct features are exposed.     

Generalized statistical complexity measures: Geometrical and analytical properties

We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map.     

Quantum Correlations in a Family of Two-Qubit Separable States

Quantum correlations in a family of two-qubit separable classical-quantum correlated states are intensively studied with four diferent approaches,namely,quantum discord[Phys.Rev.Lett.88(2002)017901],measurementinduced disturbance(MID)[Phys.Rev.A 77(2008)022301],ameliorated MID[J.Phys.A:Math.Theor.44(2011)352002]and quantum dissonance[Phys.Rev.Lett.104(2010)080501].Quantum correlations captured with diferent approaches are compared and discussed so that their three distinct features are exposed.     

Pair-Breaking Critical Current Density of Two-Band Superconductor MgB2

[1]J. Nagamatsu, N. Nakagava, T. Muranaka, Y. Zenitani,and J. Akimitsu, Nature 410 (2001) 63. [2]C. Buzea and T. Yamashita, Supercond. Sci. Techn. 14(2001) R115. [3]S. Budko, G. Lapertot, C. Petrovic, C.E. Gunningham, N.Anderson, and P.C. Canfield, Phys. Rev. Lett. 86 (2001)1877. [4]H. Kotegawa, K. Ishida, Y. Kitaoka, T. Muranaka, and J. Akimitsu, Phys. Rev. Lett. 87 (2001) 127001. [5]J. Kortus, I.I. Mazin, K.D. Belashchenko, V.P. Antropov,and L.L. Boyer, Phys. Rev. Lett. 87 (2001) 4656. [6]A. Liu, I.I. Mazin, and J. Kortus, Phys. Rev. Lett. 87(2001) 087005. [7]X.K. Chen, M.J. Konstantinovich, J.C. Irwin, D.D.Lawrie, and J.P. Frank, Phys. Rev. Lett. 87 (2001)157002. [8]H. Giublio, D. Roditchev, W. Sacks, R. Lamy, D.X.Thanh, J. Kleins, S. Miraglia, D. Fruchart, J. Markus,and P. Monod, Phys. Rev. Lett. 87 (2001) 177008. [9]F. Bouquet, R.A. Fisher, N.E. Phillips, D.G. Hinks, and J.D. Jorgensen, Phys. Rev. Lett. 87 (2001) 04700. [10]S.V. Shulga, S.-L. Drechsler, H. Echrig, H. Rosner, and W. Pickett, Cond-mat/0103154 (2001). [11]A.A. Golubov, J. Kortus, O.V. Dolgov, O. Jepsen, Y.Kong, O.K. Andersen, B.J. Gibson, K. Ahn, and R.K.Kremer, J. Phys. Condens. Matter 14 (2002) 1353. [12]H. Doh, M. Sigrist, B.K. Chao, and Sung-Ik Lee, Phys.Rev. Lett. 85 (1999) 5350. [13]I.N. Askerzade, N. Guclu, and A. Gencer, Supercond. Sci.Techn. 15 (2002) L13. [14]I.N. Askerzade, N. Guclu, A. Gencer, and A. Kiliq, Supercond. Sci. Techn. 15 (2002) L17. [15]I.N. Askerzade and A. Gencer, J. Phys. Soc. Jpn. 71(2002) 1637. [16]I.N. Askerzade, Physica C 397 (2003) 99. [17]V.V. Anshukova, B.M. Bulychev, A.I. Golovashkin, L.I.Ivanova, A.A. Minakov, and A.P. Rusakov, Phys. Solid State 45 (2003) 1207. [18]A.A. Abrikosov, Fundamentals of the Theory of Metals,North-Holland, Amsterdam (1988). [19]M.N. Kunchur, S.I. Lee, and W.N. Kang, Phys. Rev. B 68 (2003) 064516.     

Comment on: “Construction of bound entangled edge states with special ranks” [Phys. Lett. A 359 (2006) 603]

Recently, Clarisse [L. Clarisse, Phys. Lett. A 359 (2006) 603] and Ha [K.-C. Ha, Phys. Lett. A 361 (2007) 515] found examples of types (5,5) and (6,6) entangled states with positive partial transposes. In this Letter, we show that their examples have the Schmidt number as 2.     

Exact bound states for the potentialV(r)=r 2+βr −4+λr −6 using partial algebraization technique

For the potential considered new sets of ground state and first few excited states are obtained. Also the defect of the wave function suggested by Kaushal and Parashar [Phys. Lett. A170 (1992) 335] and Gaurdiala and Ros [J. Phys. A25 (1992) 1351] has been shown.     

Efficient calculation of energy spectra using path integrals

A newly developed method for systematically improving the convergence of path integrals for transition amplitudes [A. Bogojević, A. Balaž, A. Belić, Phys. Rev. Lett. 94 (2005) 180403, A. Bogojević, A. Balaž, A. Belić, Phys. Rev. B 72 (2005) 064302, A. Bogojević, A. Balaž, A. Belić, Phys. Lett. A 344 (2005) 84] and expectation values [J. Grujić, A. Bogojević, A. Balaž, Phys. Lett. A 360 (2006) 217] is here applied to the efficient calculation of energy spectra. We show how the derived hierarchies of effective actions lead to substantial speedup of the standard path integral Monte Carlo evaluation of energy levels. The general results and the ensuing increase in efficiency of several orders of magnitude are shown using explicit Monte Carlo simulations of several distinct models.     

Comment on “Entanglement transformation between two-qubit mixed states by LOCC” [Phys. Lett. A 373 (2009) 3610]

The paper [Phys. Lett. A 373 (2009) 3610] by D.-C. Li analyzes the transformation between two-qubit mixed states by local operations and classical communication. We show that the proof of the main theorem, Theorem 2.6 in [Phys. Lett. A 373 (2009) 3610] is not complete. Therefore the generalization of Nielsen's theorem to mixed states still remains an open problem.     

Reply to “Re-evaluation of a Coulomb-fluctuation frequency-response model for disordered conductors” by J.R. Macdonald

It is shown that the statements of Macdonald [Phys. Lett. A 220 (1996) 351] about the contradictoriness of the results of our previous paper [Phys. Lett. A 196 (1994) 247] and the difficulties connected with the use of these results for a consistent quantitative interpretation of experimental data on the non-Debye response of disordered conductors are based on erroneous assumptions and lead to physically unsatisfactory consequences.     

On the integrability of the SU(N) Hubbard model

We exhibit explicitly the intertwiner operator for the monodromy matrices of the SU(N) Hubbard model recently proposed by Maassarani [Phys. Lett. A 239 (1998) 187]. This produces a new family of non-additive R-matrices and generalizes an earlier result by Shastry [Phys. Rev. Lett. 56 (1986) 2453; J. Stat. Phys. 30 (1988) 57].     

Optical gap solitons: Past,present, and future; theory and experiments

Optical gap solitons refer to nonlinear waves propagating in optical fibers whose linear refractive index has a periodic variation. Stationary gap solitons came to light first in 1987 [Chen and Mills, Phys. Rev. Lett. 58, 160 (1987)]; two years later, they re-emerge in Christodoulides and Joseph [Phys. Rev. Lett. 62, 1746 (1989)] and are first extended to a more general traveling wave form in Aceves and Wabnitz [Phys. Lett. A 141, 37 (1989)]. But it was not until seven years later, that the first experimental demonstration [Eggleton et al., Phys. Rev. Lett. 76, 1627 (1996); J. Opt. Soc. Am. B 14, 2980 (1997)] was reported. Since then, there has been an increase in the study of the dynamics and applications of such solitons. This paper is a brief survey of some of the ongoing and future research on optical gap solitons. (c) 2000 American Institute of Physics.     

Re-study of Nucleon Pole Contribution in J/

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A New Modified Extended Tanh-Function Method and Its Application

In this paper, a new modified extended tanh-function method is presented for constructing soliton-like,periodic form solutions of nonlinear evolution equation (NEEs). This method is more powerful than the extended tanhfunction method [Phys. Lett. A277 (2000) 212] and the moditied extended tanh-function method [Phys. Lett. A285(2001) 355]. Abundant new solutions of two physically important NEEs are obtained by using this method and symbolic computation system Maple.     

On a New Modified Extended Tanh-Function Method

In this paper, a new modified extended tanh-function method is presented for constructing multiple soliton-like, periodic form and rational solutions of nonlinear evolution equations (NLEEs). This method is more powerful thanthe extended tanh-function method [Phys. Lett. A277 (2000) 212] and the modified extended tanh-function method[Phys. Lett. A299 (2002) 179] Abundant new solutions of two physically important NLEEs are obtained by using thismethod and symbolic computation system Maple.     

Comment on: “Three-party quantum secure direct communication based on GHZ states” [Phys. Lett. A 354 (2006) 67]

The GHZ-state-based quantum secure direct communication (QSDC) protocol [X.-R. Jin, et al., Phys. Lett. A 354 (2006) 67] and its improved version [Z. Man, Y. Xia, Chin. Phys. Lett. 24 (2007) 15] are analyzed from the aspect of security. It shows that much information of the transmitted secret message will be leaked out in both protocols.     

Reply to “On the Morse oscillator with a kinetic coupling” by Fernández

Having analyzed Fernández's approach for the Morse oscillator with a kinetic coupling [Phys. Lett. A 229 (1997) 262] and contrasting it with our original paper [Phys. Lett. A 213 (1996) 226], we point out that a new representation is implicitly used by Fernández. The dynamic phase difference of two wave functions obtained via two different approaches is due to different representations adopted in these two papers respectively.