Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.029
G. Karapetyan, H. Petrosyan
We prove embedding theorems for multianisotropic spaces in the case when the Newton polyhedron has two vertices of anisotropicity. The case of one anisotropicity vertex of the polyhedron was studied in previous papers of one of the authors. The present paper is the continuation of those.
{"title":"EMBEDDING THEOREMS FOR MULTIANISOTROPIC SPACES WITH TWO VERTICES OF ANISOTROPICITY","authors":"G. Karapetyan, H. Petrosyan","doi":"10.46991/pysu:a/2017.51.1.029","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.029","url":null,"abstract":"We prove embedding theorems for multianisotropic spaces in the case when the Newton polyhedron has two vertices of anisotropicity. The case of one anisotropicity vertex of the polyhedron was studied in previous papers of one of the authors. The present paper is the continuation of those.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"87 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81127181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.060
N. Baghdasaryan, S. Bznuni, A.M. Amirjanyan
In this paper, bias and bias uncertainty in the neutron multiplication factor due to biases and bias uncertainties in the calculated nuclide concentrations in the spent nuclear fuel of WWER-440 type was assessed. To determine isotopic biases and bias uncertainties in the calculated nuclide concentrations, they were compared to the results of the measurements of isotopic compositions from destructive radiochemical assay of WWER-440 spent fuel carried out in the RIAR. In calculations Monte Carlo uncertainty sampling method was used.
{"title":"ASSESSMENT OF THE REACTIVITY BIAS AND BIAS UNCERTAINTY DUE TO WWER-440 FUEL DEPLETION UNCERTAINTIES","authors":"N. Baghdasaryan, S. Bznuni, A.M. Amirjanyan","doi":"10.46991/pysu:a/2017.51.1.060","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.060","url":null,"abstract":"In this paper, bias and bias uncertainty in the neutron multiplication factor due to biases and bias uncertainties in the calculated nuclide concentrations in the spent nuclear fuel of WWER-440 type was assessed. To determine isotopic biases and bias uncertainties in the calculated nuclide concentrations, they were compared to the results of the measurements of isotopic compositions from destructive radiochemical assay of WWER-440 spent fuel carried out in the RIAR. In calculations Monte Carlo uncertainty sampling method was used.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80085981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.038
V. G. Petrosyan
The Riemann boundary problem in weighted spaces $L^1(rho) $ on $T = {t; |t| = 1}, $ where $rho(t) =|t -t_0|^alpha, t_0 in T$ and $alpha > -1$, is investigated. The problem is to find analytic functions $Phi^+(z)$ and $Phi^-(z)$, $Phi^-(infty)= 0$ defined on the interior and exterior domains of $T$ respectively, such that: $lim_limits{ rrightarrow 1-0} ||Phi^+(rt)-a(t)Phi^-(r^1t)- f (t)||_{L^1(rho) }= 0,$ where $fin L^1(rho), a(t) in H_0(T;t_1, t_2,...,t_m)$. The article gives necessary and sufficient conditions for solvability of the problem and with explicit form of thr solutions.
{"title":"DISCONTINUOUS RIEMANN BOUNDARY PROBLEM IN WEIGHTED SPACES","authors":"V. G. Petrosyan","doi":"10.46991/pysu:a/2017.51.1.038","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.038","url":null,"abstract":"The Riemann boundary problem in weighted spaces $L^1(rho) $ on $T = {t; |t| = 1}, $ where $rho(t) =|t -t_0|^alpha, t_0 in T$ and $alpha > -1$, is investigated. The problem is to find analytic functions $Phi^+(z)$ and $Phi^-(z)$, $Phi^-(infty)= 0$ defined on the interior and exterior domains of $T$ respectively, such that: $lim_limits{ rrightarrow 1-0} ||Phi^+(rt)-a(t)Phi^-(r^1t)- f (t)||_{L^1(rho) }= 0,$ where $fin L^1(rho), a(t) in H_0(T;t_1, t_2,...,t_m)$. The article gives necessary and sufficient conditions for solvability of the problem and with explicit form of thr solutions.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"130 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75037541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.093
A. Djotyan, A. Avetisyan
Excitonic absorption in monolayer and bilayer graphene systems with opened energy gap in the field of laser radiation is investigated. The obtained value of excitonic binding energy in monolayer is in good agreement with the exact analytical solution. It is shown that the account of all tight binding parameters in bilayer graphene leads to an increase of exciton binding energy.
{"title":"EXCITONIC ABSORPTION IN GAPPED GRAPHENE SYSTEMS","authors":"A. Djotyan, A. Avetisyan","doi":"10.46991/pysu:a/2017.51.1.093","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.093","url":null,"abstract":"Excitonic absorption in monolayer and bilayer graphene systems with opened energy gap in the field of laser radiation is investigated. The obtained value of excitonic binding energy in monolayer is in good agreement with the exact analytical solution. It is shown that the account of all tight binding parameters in bilayer graphene leads to an increase of exciton binding energy.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85576329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.124
A.L. Vartanyan, A. Asatryan, A. Mkrtchyan, S.S. Avetisyan, A. Kirakosyan
The influence of an image charge effect on the impurity-related energies, the oscillator strengths of transitions from the 1s-like state to 2px and 2pz states as well as the optical absorption coefficients in a spherical quantum dot in the presence of an external electric field have been studied. The results show that the image charges lead to significant changes in the optical coefficients of the system.
{"title":"EFFECTS OF ELECTRIC FIELD AND IMAGE CHARGES ON THE IMPURITY-RELATED OPTICAL ABSORPTION COEFFICIENTS IN A SPHERICAL QUANTUM DOT","authors":"A.L. Vartanyan, A. Asatryan, A. Mkrtchyan, S.S. Avetisyan, A. Kirakosyan","doi":"10.46991/pysu:a/2017.51.1.124","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.124","url":null,"abstract":"The influence of an image charge effect on the impurity-related energies, the oscillator strengths of transitions from the 1s-like state to 2px and 2pz states as well as the optical absorption coefficients in a spherical quantum dot in the presence of an external electric field have been studied. The results show that the image charges lead to significant changes in the optical coefficients of the system.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82197469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.022
H. H. Khachatryan
An edge-coloring of a graph G with colors $1,2,...,t$ is an interval $t$-coloring, if all colors are used, and the colors of edges incident to each vertex of $G$ are distinct and form an interval of integers. A graph $G$ is interval colorable, if it has an interval $t$-coloring for some positive integer $t$. $def (G)$ denotes the minimum number of pendant edges that should be attached to $G$ to make it interval colorable. In this paper we study interval colorings of outerplanar graphs. In particular, we show that if $G$ is an outerplanar graph, then $def(G) leq (|V(G)|-2)/(og(G)-2)$, where $og(G)$ is the length of the shortest cycle with odd number of edges in $G$.
{"title":"DEFICIENCY OF OUTERPLANAR GRAPHS","authors":"H. H. Khachatryan","doi":"10.46991/pysu:a/2017.51.1.022","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.022","url":null,"abstract":"An edge-coloring of a graph G with colors $1,2,...,t$ is an interval $t$-coloring, if all colors are used, and the colors of edges incident to each vertex of $G$ are distinct and form an interval of integers. A graph $G$ is interval colorable, if it has an interval $t$-coloring for some positive integer $t$. $def (G)$ denotes the minimum number of pendant edges that should be attached to $G$ to make it interval colorable. In this paper we study interval colorings of outerplanar graphs. In particular, we show that if $G$ is an outerplanar graph, then $def(G) leq (|V(G)|-2)/(og(G)-2)$, where $og(G)$ is the length of the shortest cycle with odd number of edges in $G$.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"110 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87669680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.003
A. Petrosyan, K. Avetisyan
We introduce the Banach spaces $h_{infty}(varphi)$, $h_{0}(varphi)$ and $h^{1}(psi)$ functions harmonic in the unit ball $Bsubsetmathbb{R}^n$. These spaces depend on weight functions $varphi$, $psi$. We prove that if $varphi$ and $psi$ form a normal pair, then $h^{1}(psi)^*sim h_{infty}(varphi)$ and $h_{0}(varphi)^*sim h^{1}(psi)$.
{"title":"WEIGHTED SPACES OF FUNCTIONS HARMONIC IN THE UNIT BALL","authors":"A. Petrosyan, K. Avetisyan","doi":"10.46991/pysu:a/2017.51.1.003","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.003","url":null,"abstract":"We introduce the Banach spaces $h_{infty}(varphi)$, $h_{0}(varphi)$ and $h^{1}(psi)$ functions harmonic in the unit ball $Bsubsetmathbb{R}^n$. These spaces depend on weight functions $varphi$, $psi$. We prove that if $varphi$ and $psi$ form a normal pair, then $h^{1}(psi)^*sim h_{infty}(varphi)$ and $h_{0}(varphi)^*sim h^{1}(psi)$.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79217351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.089
M. Barseghyan
Hydrogenic donor impurity states in the 2D GaAs=Ga0.7Al0.3As concentric double quantum rings have been investigated under the action of intense laser field. An analytical expression of the effective lateral confinement potential induced by the laser field is obtained. The laser dressed effect has been considered both on electron confining and electron-impurity Coulomb interaction potentials. The single electron energy spectrum and wave functions have been found using the effective mass approximation and exact diagonalization technique. The accidental degeneracy of the impurity states has been observed.
{"title":"LASER DRIVEN IMPURITY STATES IN TWO DIMENSIONAL CONCENTRIC DOUBLE QUANTUM RINGS","authors":"M. Barseghyan","doi":"10.46991/pysu:a/2017.51.1.089","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.089","url":null,"abstract":"Hydrogenic donor impurity states in the 2D GaAs=Ga0.7Al0.3As concentric double quantum rings have been investigated under the action of intense laser field. An analytical expression of the effective lateral confinement potential induced by the laser field is obtained. The laser dressed effect has been considered both on electron confining and electron-impurity Coulomb interaction potentials. The single electron energy spectrum and wave functions have been found using the effective mass approximation and exact diagonalization technique. The accidental degeneracy of the impurity states has been observed.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82426584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.117
A. Manaselyan
Electronic states and optical transitions of a ZnO quantum ring containing few interacting electrons in an applied magnetic field are found to be very different from those in a conventional semiconductor system, such as a GaAs ring. Strong Zeeman and Coulomb interactions of the ZnO system, exert a profound influence on the electron states and on the optical properties of the ring. In particular, our results indicate that the Aharonov– Bohm effect in a ZnO quantum ring strongly depends on the electron number.
{"title":"UNIQUE PROPERTIES OF ZnO QUANTUM RINGS","authors":"A. Manaselyan","doi":"10.46991/pysu:a/2017.51.1.117","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.117","url":null,"abstract":"Electronic states and optical transitions of a ZnO quantum ring containing few interacting electrons in an applied magnetic field are found to be very different from those in a conventional semiconductor system, such as a GaAs ring. Strong Zeeman and Coulomb interactions of the ZnO system, exert a profound influence on the electron states and on the optical properties of the ring. In particular, our results indicate that the Aharonov– Bohm effect in a ZnO quantum ring strongly depends on the electron number.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"230 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89214366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-20DOI: 10.46991/pysu:a/2017.51.1.105
V. S. Haroutunyan, A. Aivazyan, V. Mkrtchyan
Applying the X-ray diffraction technique, we have investigated the dependence of the residual stress components on ettringite crystals in expansive cement paste depending on the content of ye’elimite admixture. The results of above stress analysis were used to analyze how the shrinkage-compensating effect and the content of ye’elimite admixture are correlated with each other.
{"title":"RESIDUAL STRESS ON ETTRINGITE CRYSTALS IN EXPANSIVE CEMENT PASTE","authors":"V. S. Haroutunyan, A. Aivazyan, V. Mkrtchyan","doi":"10.46991/pysu:a/2017.51.1.105","DOIUrl":"https://doi.org/10.46991/pysu:a/2017.51.1.105","url":null,"abstract":"Applying the X-ray diffraction technique, we have investigated the dependence of the residual stress components on ettringite crystals in expansive cement paste depending on the content of ye’elimite admixture. The results of above stress analysis were used to analyze how the shrinkage-compensating effect and the content of ye’elimite admixture are correlated with each other.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1993 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82392275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：