Vibrational frequency of a strong-coupling polaron in a quantum rod at finite temperatures

The Hamiltonian of a quantum rod with a boundary is presented after a coordinate transformation that changes the original ellipsoidal boundary into a spherical one. We then study the effect of temperature on the vibrational frequency and the ground state binding energy of the strong-coupling polaron in the rod. The two quantities are expressed as functions of the aspect ratio of the ellipsoid, the transverse and the longitudinal effective confinement lengths, the temperature and the electron-phonon coupling strength by linear combination operator and unitary transformation methods. It is found that the vibrational frequency and the ground state binding energy will increase rapidly with decreasing transverse and longitudinal effective confinement lengths. They are increasing functions of the electron- phonon coupling strength but become decreasing ones of the temperature and the aspect ratio.

POINTWISE CHARACTERIZATION FOR COMBINATIONS OF BASKAKOV OPERATORS

In this paper, we characterize the pointwise rate of convergence for the combinations of the Baskakov operators using the Ditzian-Totik modulus of smoothness.

A Clinical Analysis of 120 Cases with Traumatic Cataract Treated by Extracapsular Cataract Extraction and Posterior Chamber Intraocular Lens Implantation

Extracapsular cataract extraction was performed combined with posterior chamber intraocular lens implantation on 120 inpatients (122 eyes) with traumatic cataract from 1992 to 1997. The results revealed that this combined operation can make most of them get useful visual acuity, although they were often accompanied with several comlicated eye injuries. We think the most important thing is to choose suitable opertion time, the reasonable operation method and take close followup after operation.

Universal Index Formula of Parameterized Combination Operator for Eco-environmental Quality Evaluation

[Objective] The aim was to evaluate the regional eco-environmental quality by using the universal index formula of parameterization combination operator based normalized index values.[Method] Through setting reference values and normalized transformation formulae for typical ecological environmental indexes appropriately,the difference among the standard normalized values would become very small after normalized transformation,and the ecological environmental indices expressed by normalized values can be equivalent to normalized indices.Under certain optimization conditions,shuffled frog leaping based on immune evolutionary particle swarm optimization algorithm was applied to optimize the parameters in parameterization combination operator formula,and the universal index formula suited to eco-environmental quality assessment was established finally.[Result] The universal index formula of parameterization combination operator,appropriate for any m(1≤m≤23) ecological environmental indices,was used to assess the eco-environmental quality of towns surrounding Headland Reservoir,and the results were in full accordance with those of unascertained measure method,that is,the eco-environmental quality of five towns around Headland Reservoir was the fourth grade.[Conclusion]The universal index formula of parameterization combination operator,suited to eco-environmental quality evaluation,is simple and intuitive in form,easy in computation and universal in application.

Supporting Seeder and Planting Technology for Spring Corn in Arid Areas

The annual rainfall is low and the fresh water resources are scarce for the rainfed farming in dry zone of northern China,which seriously affects the sowing and growth of spring corn. In order to solve this problem,the technology of ridge-mulching and side-sowing of spring corn is put forward,the supporting compound operation seeder is developed,and the effect of different speed on the quality of sowing is tested and analyzed. Under the test conditions described in this paper,the seeding operation with a high speed( up to 6 km/h) can be realized,and the quality of the seeding operation can meet the requirements of the national standards. The application of this machine can solve the problem of " drought damage at the booting stage" for spring corn,thereby realizing the deep fusion of farming machine and agronomy in dry farming of northern China,and achieving the integration of farming machine and agronomy.

The Clinical Evaluation of Minimally Invasive Treatment for Axillary Osmidrosis

Background: Traditional treatment of axillary odour is the surgical removal of skin and subcutaneous tissue along the edge of the axillary hair in a fusiform shape, which requires the restriction of upper limb activity, has large scars and a high recurrence rate. Minimally invasive methods have developed in recent years. The subcutaneous trimming method with small incision reduces the incision compared to traditional incision, but still requires skin incision, which does not achieve true, minimally invasive treatment. Simple negative pressure suction is difficult to destroy the sweat glands and sebaceous glands in the dermis layer. Thus, we hypothesized that combination of three minimally invasive methods might be more effective. Objective: To explore the clinical effect of combined treatment of axillary osmidrosis by three minimally invasive methods of microwave, scraping & suction and scratching. Methods: From October 2015 to October 2020, 80 patients with underarm odor were enrolled and lacal swelling anesthetic was applied. Microwave was used to treat sweat glands and sebaceous glands in the dermis following the pores. The curettage-aspiration was used to scrape and suck the apocrine sweat glands in the subcutaneous fat layer and the junction between the subcutaneous fat and dermis. To achieve the purpose of minimally invasive and thorough treatment of underarm odor, the spoon scraped the remaining sweat gland tissue. Results: Among 80 patients on 160 sides, all cases (100.00%) were cured on 160 sides at 1 month post-operative follow-up, 75 cases (93.75%) were cured on 150 sides, 5 cases (6.25%) on 5 sides were ineffective at 6-month post-operative follow-up, 74 cases (92.50%) were cured on 148 sides, 6 cases (7.50%) on 5 sides were ineffective at 1-year post-operative follow-up. Complications occurred in 5 cases (6.25%) after operation: 2 cases (2.50%) with skin necrosis on 3 sides, 1 case (1.25%) with uneven skin on 2 sides, 1 case (1.25%) with axillary abscess on 2 sides, and 1 case (1.25%) with keloids on 2 sides. Conclusion: The combination of three minimally invasive methods of microwave, scraping & suction and scratching to treat underarm odor is simple operation, has high cure rate, quick postoperative recovery, and few complications. It is an effective method for minimally invasive and thorough treatment of underarm odor in clinic.

Early and long-term results of combined cardiac surgery and neoplastic resection in patients with concomitant severe heart disease and neoplasms

Background It is a surgical dilemma when patients present with both severe heart disease and neoplasms. The best surgical treatment remains controversial. This study aimed to analyze the early and long-term results of simultaneous surgical treatment of severe heart disease and neoplasms. Methods We reviewed the clinical records of 15 patients who underwent simultaneous neoplastic resection and cardiac surgery between September 2006 and January 2011. There were 5 male and 10 female patients. The mean age was （59.2±12.5） years and the mean left ventricular ejection fraction was （57.4±11.0）%. All patients were followed up completely for a period of 12 to 51 months （mean, （33.1±11.2） months）. Results Fifteen patients underwent simultaneous cardiac surgery and neoplastic resection. Cardiac procedures consisted of off pump coronary artery bypass grafting （n=7）, aortic valve replacement （n=3）, mitral valve replacement （n=3）, mitral valve replacement with coronary artery bypass grafting （n=1） and left atrial myxoma resection （n=1）. Neoplastic resection consisted of lung cancer resection （n=5）, colonic cancer resection （n=3）, gallbladder resection （n=1）, colonic cancer resection with gallbladder resection （n=1）, hysterectomy （n=2）, hysterectomy with bilateral salpingo-oophorectomy （n=2） and left ovariectomy （n=1）. Pathological examination confirmed malignant disease in 10 patients and benign disease in 5 patients. There were no perioperative myocardial infarctions, stroke, pericardial tamponade, renal failure or hospital deaths. The most frequent complications were atrial fibrillation （33.3%）, pneumonia （26.7%）, low cardiac output syndrome （6.7%） and delayed healing of surgical wounds （6.7%）. There was 1 late death 42 months after surgery for recurrent malignant disease. At 1 and 3 years, survival rates were 100% （Kaplan-Meier method）. Conclusions Simultaneous cardiac surgery and neoplastic resection was not associated with increased early or late morbidity or mortality. Cardiopulmonary bypass does not appear to adversely affect survival in patients with malignant disease. The long-term survival was determined by tumor stage.

QCSH:A full quantum computer nuclear shell-model package

The nuclear system is a promising area for demonstrating practical quantum advantage.A comprehensive computation of a nuclear system in a classical computer is beyond the capacity of current classical computers.With the rapid development of hardware,the prospect of using quantum computers in nuclear physics is close at hand.In this paper,we report a full quantum package,QCSH,for solving a nuclear shell model in a quantum computer.QCSH uses the linear combination of the unitary formalism of quantum computing and performs all calculations in a quantum computer.The complexities of qubit resource and the number of basic gates of QCSH are both polynomials to the number of nucleons in nuclei.For example,QCSH is used to calculate the binding energies of 12 light nuclei(i.e.,^(2)H,^(3)H,^(3)He,^(4)He,^(6)Li,^(7)Li,^(12)C,^(14)N,^(16)O,^(17)O,^(23)Na,and^(40)Ca).Moreover,we experimentally demonstrate the calculation of deuteron binding energy using a superconducting quantum processor.The result indicates that QCSH can provide meaningful results already in near-term quantum devices.

Effects of magnetic field on the polaron in an asymmetrical Gaussian confinement potential quantum well

The effects of a magnetic field on the vibrational frequency, the ground state energy and the ground state binding energy of a weak-coupling polaron in asymmetrical Gaussian confinement potential quantum well （AGCPQW） are investigated by using linear combination operator and unitary transformation methods. Our cal- culated results show that the vibrational frequency increases with increasing cyclotron frequency of the magnetic field; meanwhile, the absolute value of the ground state energy and the ground state binding energy decrease. The vibrational frequency, the absolute value of the ground state energy and the ground state binding energy are in- creasing functions of the barrier height of the AGCPQW. It is shown that the barrier height of the AGCPQW and the magnetic field are important factors that influence the properties of the magnetopolaron in AGCPQW.

Fuzzy reasoning model based on universal combination operation model

The universal combination operation model is a comprehensive decision model of continuous-valued logic. It overcomes limitations of the scope of operations of reasoning operators in the current comprehensive decision-making system. This article discusses relationship of mutual information and general correlation coefficient and gives the corresponding rules of them, the optimal matching operator is selected to complete fuzzy decision according to mutual information between candidate attributes. The relationship of mutual information between attributes and generalized correlative coefficient provides the principle to select the matching operator. According to the results of experiment, it is more reasonable to enhance classified precision effectively. There is a certain application value of the article＇s method.

Linear Combinations of Composition Operators on Weighted Dirichlet Spaces

In this paper, linear combinations of composition operators acting on weighted Dirichlet spaces are studied. By using the first derivative of the kernel function, we obtain a lower estimate for the essential norms of these operators acting on the Dirichlet space D and S2. For general weighted Dirichlet space, by using complex interpolation methods, we characterize the compactness of these operators induced by linear fractional self-maps of the disk.

Frequency of the transition spectral line of an electron in quantum rods

The Hamiltonian of a quantum rod with an ellipsoidal boundary is given after a coordinate transformation which changes the ellipsoidal boundary into a spherical one.We then study the first internal excited state energy,the excitation energy and the frequency of the transition spectral line between the first internal excited state and the ground state of the strong-coupling polaron in a quantum rod.The effects of the electron-phonon coupling strength,the aspect ratio of the ellipsoid,the transverse radius of quantum rods and the transverse and longitudinal effective confinement length are taken into consideration by using a linear combination operator and the unitary transformation methods.It is found that the first internal excited state energy,the excitation energy and the frequency of the transition spectral line are increasing functions of the electron-phonon coupling strength,whereas they are decreasing ones of the transverse radius of quantum rods and the aspect ratio.The first internal excited state energy,the excitation energy and the frequency of the transition spectral line increase with decreasing transverse and longitudinal effective confinement length.