141 research outputs found

    Monomiality principle, Sheffer-type polynomials and the normal ordering problem

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    We solve the boson normal ordering problem for (q(a†)a+v(a†))n(q(a^\dag)a+v(a^\dag))^n with arbitrary functions q(x)q(x) and v(x)v(x) and integer nn, where aa and a†a^\dag are boson annihilation and creation operators, satisfying [a,a†]=1[a,a^\dag]=1. This consequently provides the solution for the exponential eλ(q(a†)a+v(a†))e^{\lambda(q(a^\dag)a+v(a^\dag))} generalizing the shift operator. In the course of these considerations we define and explore the monomiality principle and find its representations. We exploit the properties of Sheffer-type polynomials which constitute the inherent structure of this problem. In the end we give some examples illustrating the utility of the method and point out the relation to combinatorial structures.Comment: Presented at the 8'th International School of Theoretical Physics "Symmetry and Structural Properties of Condensed Matter " (SSPCM 2005), Myczkowce, Poland. 13 pages, 31 reference

    Preliminary report in treatment of proximal humeral fracture with closed reduction and DOS external fixation System: a multicentric study

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    Introduction: Proximal humerus fractures are the seventh most frequent fracture in adults, and the third in patients over 65 years old, 5.7% of whole diagnosed fractures. Most of these fractures can be treated conservatively and achieve good results. However, more and more frequently we are confronted with dislo-cated and multifragmentary fractures, and with elderly and high functional demanding patients. In patients with osteoporosis and poor general conditions external fixation can be performed as rapid and mininvasive procedure with good outcome and low complication rates. The authors investigated the use of external fixa-tion in the treatment of proximal humerus fractures. The objective is to demonstrate the effectiveness of this method as a valid alternative to other surgical techniques. Materials and Methods: A multicentre study was conducted at 7 hospitals in Italy from 2014 through 2018. We recruited all proximal humeral fractures (as classified with the Neer system) that are surgically treated with the same external fixator DOS, for a total of 110 patients, evaluated later with Oxford Shoulder Scale (OSS) and disability of the arm, shoulder and hand score (DASH) at 1, 2 and 6 months. Results:The patients have passed from a score of 75,37 in the first month to a score of 29,47in the sixth month at the DASH and from 47,02 to 27,71 at the OSS. The data further confirm the increased incidence of these fractures in women and in a mean age of about 65. Conclusions:Al-though it does not represent the golden standard in the treatment of fractures of the proximal humerus, in our experience the minimal osteosynthesis with external fixator turned out to be a very valid help especially for the simplicity and speed of the method, as well as for the exciting functional results. sometimes superior to other methods. The preliminary results from the different centers have confirmed this hypothesis. We hope this will be a good starting point for further in-depth studies

    Long-term outcome of COVID-19 patients treated with helmet noninvasive ventilation vs. high-flow nasal oxygen: a randomized trial

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    Background: Long-term outcomes of patients treated with helmet noninvasive ventilation (NIV) are unknown: safety concerns regarding the risk of patient self-inflicted lung injury and delayed intubation exist when NIV is applied in hypoxemic patients. We assessed the 6-month outcome of patients who received helmet NIV or high-flow nasal oxygen for COVID-19 hypoxemic respiratory failure. Methods: In this prespecified analysis of a randomized trial of helmet NIV versus high-flow nasal oxygen (HENIVOT), clinical status, physical performance (6-min-walking-test and 30-s chair stand test), respiratory function and quality of life (EuroQoL five dimensions five levels questionnaire, EuroQoL VAS, SF36 and Post-Traumatic Stress Disorder Checklist for the DSM) were evaluated 6 months after the enrollment. Results: Among 80 patients who were alive, 71 (89%) completed the follow-up: 35 had received helmet NIV, 36 high-flow oxygen. There was no inter-group difference in any item concerning vital signs (N = 4), physical performance (N = 18), respiratory function (N = 27), quality of life (N = 21) and laboratory tests (N = 15). Arthralgia was significantly lower in the helmet group (16% vs. 55%, p = 0.002). Fifty-two percent of patients in helmet group vs. 63% of patients in high-flow group had diffusing capacity of the lungs for carbon monoxide < 80% of predicted (p = 0.44); 13% vs. 22% had forced vital capacity < 80% of predicted (p = 0.51). Both groups reported similar degree of pain (p = 0.81) and anxiety (p = 0.81) at the EQ-5D-5L test; the EQ-VAS score was similar in the two groups (p = 0.27). Compared to patients who successfully avoided invasive mechanical ventilation (54/71, 76%), intubated patients (17/71, 24%) had significantly worse pulmonary function (median diffusing capacity of the lungs for carbon monoxide 66% [Interquartile range: 47–77] of predicted vs. 80% [71–88], p = 0.005) and decreased quality of life (EQ-VAS: 70 [53–70] vs. 80 [70–83], p = 0.01). Conclusions: In patients with COVID-19 hypoxemic respiratory failure, treatment with helmet NIV or high-flow oxygen yielded similar quality of life and functional outcome at 6 months. The need for invasive mechanical ventilation was associated with worse outcomes. These data indicate that helmet NIV, as applied in the HENIVOT trial, can be safely used in hypoxemic patients. Trial registration Registered on clinicaltrials.gov NCT04502576 on August 6, 202
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