In this article,we study the DKP equation for the oscillator in a G?del-type space-time background.We derive the final form of this equation in a flat class of G?del-type space-time and solve it analytically,and evalu...In this article,we study the DKP equation for the oscillator in a G?del-type space-time background.We derive the final form of this equation in a flat class of G?del-type space-time and solve it analytically,and evaluate the eigenvalues and corresponding eigenfunctions,in detail.展开更多
In this work, we study the DKP equation subjected to the action of combined vector plus scalar energy depend on potentials in(1+1) dimensions space-time. The conditions of normalisation and continuity equation are cal...In this work, we study the DKP equation subjected to the action of combined vector plus scalar energy depend on potentials in(1+1) dimensions space-time. The conditions of normalisation and continuity equation are calculated. The eigenfunctions and the corresponding eigenvalues are then determined. A numerical study is presented and the energy graphs for some values of the energy parameter are plotted.展开更多
The spin-one Duffin-Kemmer-Petiau （DKP） oscillator under a magnetic field in the presence of Ihe minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The expli...The spin-one Duffin-Kemmer-Petiau （DKP） oscillator under a magnetic field in the presence of Ihe minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncomnmtative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.展开更多
We solve the Duffin-Kemmer-Petiau （DKP） equation with a non-minimal vector Yukawa potential in （1＋1）- dimensional spa^e-time for spin-1 particles. The Nikiforov Uvarov method is used in the calculations, and the ...We solve the Duffin-Kemmer-Petiau （DKP） equation with a non-minimal vector Yukawa potential in （1＋1）- dimensional spa^e-time for spin-1 particles. The Nikiforov Uvarov method is used in the calculations, and the eigen- functions as well as the energy eigenvalues are obtained in a proper Pekeris-type approximation.展开更多
We study Duffin-Kemmer-Petiau(DKP) equation in the presence of the Woods-Saxon potential and obtain eigenvalues and corresponding eigenfunctions for any J state by using of the Nikiforov-Uvarov(NU) method.The Pekeris ...We study Duffin-Kemmer-Petiau(DKP) equation in the presence of the Woods-Saxon potential and obtain eigenvalues and corresponding eigenfunctions for any J state by using of the Nikiforov-Uvarov(NU) method.The Pekeris approximation is used to deal with centrifugal term.展开更多
We present the DKP oscillator model of spins 0 and 1, in a noncommutative space. In the case of spin 0, the equation is reduced to Klein Gordon oscillator type, the wave functions are then deduced and compared with th...We present the DKP oscillator model of spins 0 and 1, in a noncommutative space. In the case of spin 0, the equation is reduced to Klein Gordon oscillator type, the wave functions are then deduced and compared with the DKP spinless particle subjected to the interaction of a constant magnetic field. For the case of spin 1, the problem is equivalent with the behavior of the DKP equation of spin 1 in a commutative space describing the movement of a vectorial boson subjected to the action of a constant magnetic field with additional correction which depends on the noncommutativity parameter.展开更多
Three thermal analytical techniques such as differential scanning calorimetry(DSC), thermal gravimetric analysis(TGA) using five heating rates, and DSC-Fourier Transform Infrared(DSCFTIR) microspectroscopy using one h...Three thermal analytical techniques such as differential scanning calorimetry(DSC), thermal gravimetric analysis(TGA) using five heating rates, and DSC-Fourier Transform Infrared(DSCFTIR) microspectroscopy using one heating rate, were used to determine the thermal characteristics and the dehydration process of aspartame(APM) hemihydrate in the solid state.The intramolecular cyclization process of APM anhydrate was also examined. One exothermic and four endothermic peaks were observed in the DSC thermogram of APM hemihydrate,in which the exothermic peak was due to the crystallization of some amorphous APM caused by dehydration process from hemihydrate to anhydride. While four endothermic peaks were corresponded to the evaporation of absorbed water, the dehydration of hemihydrate, the diketopiperazines(DKP) formation via intramolecular cyclization, and the melting of DKP, respectively. The weight loss measured in TGA curve of APM hemihydrate was associated with these endothermic peaks in the DSC thermogram. According to the Flynn–Wall–Ozawa(FWO)model, the activation energy of dehydration process within 100–150 °C was about 218 ± 11 kJ/mol determined by TGA technique. Both the dehydration and DKP formation processes for solid-state APM hemihydrate were markedly evidenced from the thermal-responsive changes in several specific FTIR bands by a single-step DSC-FTIR microspectroscopy.展开更多
The Duffin-Kemmer-Petiau equation （DKP） is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in （1 ＋ 3）-dimensional space-time for spin-one particles. The exact energy eigenvalues and...The Duffin-Kemmer-Petiau equation （DKP） is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in （1 ＋ 3）-dimensional space-time for spin-one particles. The exact energy eigenvalues and the eigenfunctions are obtained using the Nikiforov-Uvarov method.展开更多
A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is establish...A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is established and it is used to get a new τ function τ(n+k) of the dKP hierarchy from an initial τ.In this process,we introduce a generalized discrete Wronskian determinant and some useful properties of discrete difference operators.展开更多
文摘In this article,we study the DKP equation for the oscillator in a G?del-type space-time background.We derive the final form of this equation in a flat class of G?del-type space-time and solve it analytically,and evaluate the eigenvalues and corresponding eigenfunctions,in detail.
文摘In this work, we study the DKP equation subjected to the action of combined vector plus scalar energy depend on potentials in(1+1) dimensions space-time. The conditions of normalisation and continuity equation are calculated. The eigenfunctions and the corresponding eigenvalues are then determined. A numerical study is presented and the energy graphs for some values of the energy parameter are plotted.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11465006 and 11565009)the Project of Research Foundation for Graduate Students in Guizhou Province,China(Grant No.(2017)11108)
文摘The spin-one Duffin-Kemmer-Petiau （DKP） oscillator under a magnetic field in the presence of Ihe minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncomnmtative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.
文摘We solve the Duffin-Kemmer-Petiau （DKP） equation with a non-minimal vector Yukawa potential in （1＋1）- dimensional spa^e-time for spin-1 particles. The Nikiforov Uvarov method is used in the calculations, and the eigen- functions as well as the energy eigenvalues are obtained in a proper Pekeris-type approximation.
文摘We study Duffin-Kemmer-Petiau(DKP) equation in the presence of the Woods-Saxon potential and obtain eigenvalues and corresponding eigenfunctions for any J state by using of the Nikiforov-Uvarov(NU) method.The Pekeris approximation is used to deal with centrifugal term.
文摘We present the DKP oscillator model of spins 0 and 1, in a noncommutative space. In the case of spin 0, the equation is reduced to Klein Gordon oscillator type, the wave functions are then deduced and compared with the DKP spinless particle subjected to the interaction of a constant magnetic field. For the case of spin 1, the problem is equivalent with the behavior of the DKP equation of spin 1 in a commutative space describing the movement of a vectorial boson subjected to the action of a constant magnetic field with additional correction which depends on the noncommutativity parameter.
文摘Three thermal analytical techniques such as differential scanning calorimetry(DSC), thermal gravimetric analysis(TGA) using five heating rates, and DSC-Fourier Transform Infrared(DSCFTIR) microspectroscopy using one heating rate, were used to determine the thermal characteristics and the dehydration process of aspartame(APM) hemihydrate in the solid state.The intramolecular cyclization process of APM anhydrate was also examined. One exothermic and four endothermic peaks were observed in the DSC thermogram of APM hemihydrate,in which the exothermic peak was due to the crystallization of some amorphous APM caused by dehydration process from hemihydrate to anhydride. While four endothermic peaks were corresponded to the evaporation of absorbed water, the dehydration of hemihydrate, the diketopiperazines(DKP) formation via intramolecular cyclization, and the melting of DKP, respectively. The weight loss measured in TGA curve of APM hemihydrate was associated with these endothermic peaks in the DSC thermogram. According to the Flynn–Wall–Ozawa(FWO)model, the activation energy of dehydration process within 100–150 °C was about 218 ± 11 kJ/mol determined by TGA technique. Both the dehydration and DKP formation processes for solid-state APM hemihydrate were markedly evidenced from the thermal-responsive changes in several specific FTIR bands by a single-step DSC-FTIR microspectroscopy.
文摘The Duffin-Kemmer-Petiau equation （DKP） is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in （1 ＋ 3）-dimensional space-time for spin-one particles. The exact energy eigenvalues and the eigenfunctions are obtained using the Nikiforov-Uvarov method.
基金supported by National Natural Science Foundation of China (Grant No.10671187)the Program for New Century Excellent Talents in University (Grant No.NCET-08-0515)
文摘A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is established and it is used to get a new τ function τ(n+k) of the dKP hierarchy from an initial τ.In this process,we introduce a generalized discrete Wronskian determinant and some useful properties of discrete difference operators.
