In this paper, we have studied electronic properties of a two-electron quantum dot using Tietz confining potential in the presence of an external magnetic field. In this regard, we have applied diagonalization procedu...In this paper, we have studied electronic properties of a two-electron quantum dot using Tietz confining potential in the presence of an external magnetic field. In this regard, we have applied diagonalization procedure of Hamilonian matrix. We have calculated singlet-triplet ground state transitions as a function of the magnetic field. The obtained results show that the dot size of the Tietz potential has an important role in the ground state transition. The singlet-triplet transition of the ground state shifts towards lower magnetic field when the quantum size increases. Our results yield much less transitions than that of previous results [R.G. Nazmitdinov, N.S. Simonovic, and M.J. Rost, Phys.Rev. B 65(2002) 155307].展开更多
Approximate analytical solutions of the Dirac equation for Tietz-Hua （TH） potential including Coulomb-like tensor （CLT） potential with arbitrary spin-orbit quantum number K are obtained within the Pekeris approxim...Approximate analytical solutions of the Dirac equation for Tietz-Hua （TH） potential including Coulomb-like tensor （CLT） potential with arbitrary spin-orbit quantum number K are obtained within the Pekeris approximation scheme to deal with the spin-orbit coupling terms K（K± 1）r^-2. Under the exact spin and pseudospin symmetric limitation, bound state energy eigenvalues and associated unnormalized two-component wave functions of the Dirac particle in the field of both attractive and repulsive TH potential with tensor potential are found using the parametric Nikiforov-Uvarov （NU） method. The cases of the Morse oscillator with tensor potential, the generalized Morse oscillator with tensor potential, and the non-relativistic limits have been investigated.展开更多
Tietze’s Syndrome is an uncommon disorder that presents with painful, tender, non-suppurative swelling of the anterior chest wall. We report a case of a female patient who presented to the emergency department with a...Tietze’s Syndrome is an uncommon disorder that presents with painful, tender, non-suppurative swelling of the anterior chest wall. We report a case of a female patient who presented to the emergency department with a chief complaint of atraumatic chest pain and swelling of the anterior chest wall. After a thorough history and physical examination, as well as basic laboratory tests and chest radiography, she was diagnosed with Tietze’s Syndrome. The expedient accurate diagnosis of Tietze’s Syndrome is important for the physical and emotional well-being of a patient, and avoids overlooking more dangerous pathologies. Tietze’s Syndrome needs to be considered in the differential diagnosis of a patient presenting with spontaneous swelling of the anterior chest.展开更多
The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C-algebra case. As a re...The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C-algebra case. As a result, the multiplier bimodule here is also a Hilbert bimodule.展开更多
文摘In this paper, we have studied electronic properties of a two-electron quantum dot using Tietz confining potential in the presence of an external magnetic field. In this regard, we have applied diagonalization procedure of Hamilonian matrix. We have calculated singlet-triplet ground state transitions as a function of the magnetic field. The obtained results show that the dot size of the Tietz potential has an important role in the ground state transition. The singlet-triplet transition of the ground state shifts towards lower magnetic field when the quantum size increases. Our results yield much less transitions than that of previous results [R.G. Nazmitdinov, N.S. Simonovic, and M.J. Rost, Phys.Rev. B 65(2002) 155307].
基金supported by the Scientific and Technological Research Council of Turkey (TUBITAK)
文摘Approximate analytical solutions of the Dirac equation for Tietz-Hua （TH） potential including Coulomb-like tensor （CLT） potential with arbitrary spin-orbit quantum number K are obtained within the Pekeris approximation scheme to deal with the spin-orbit coupling terms K（K± 1）r^-2. Under the exact spin and pseudospin symmetric limitation, bound state energy eigenvalues and associated unnormalized two-component wave functions of the Dirac particle in the field of both attractive and repulsive TH potential with tensor potential are found using the parametric Nikiforov-Uvarov （NU） method. The cases of the Morse oscillator with tensor potential, the generalized Morse oscillator with tensor potential, and the non-relativistic limits have been investigated.
文摘Tietze’s Syndrome is an uncommon disorder that presents with painful, tender, non-suppurative swelling of the anterior chest wall. We report a case of a female patient who presented to the emergency department with a chief complaint of atraumatic chest pain and swelling of the anterior chest wall. After a thorough history and physical examination, as well as basic laboratory tests and chest radiography, she was diagnosed with Tietze’s Syndrome. The expedient accurate diagnosis of Tietze’s Syndrome is important for the physical and emotional well-being of a patient, and avoids overlooking more dangerous pathologies. Tietze’s Syndrome needs to be considered in the differential diagnosis of a patient presenting with spontaneous swelling of the anterior chest.
基金the National Natural Science Foundation of China (No.19601029).
文摘The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C-algebra case. As a result, the multiplier bimodule here is also a Hilbert bimodule.
