The quantum Arnold transformation

By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in velocity, can be related to the quantum free-particle dynamical system. This transformation provides a basic (Heisenberg-Weyl) algebra of quantum operators, along with well-defined Hermitian operators which can be chosen as evolution-like observables and complete the entire Schr\"odinger algebra. It also proves to be very helpful in performing certain computations quickly, to obtain, for example, wave functions and closed analytic expressions for time-evolution operators.Comment: 19 pages, minor changes, references update

A content analysis of how 'normal' sports betting behaviour is represented in gambling advertising

The pervasiveness of sports betting marketing and advertising is arguably normalising betting behaviour among increasingly larger groups of population. In their adverts, bookmakers represent characters and situations that conventionalise betting and promote specific behaviours while ignoring others. The present study examined a sample of British and Spanish sports betting television adverts (N=135) from 2014 to 2016 to understand how bettors and betting are being represented. Using content analysis, 31 different variables grouped into seven broad categories were assessed, including general information about the advert, the characters and situations represented, the identification of the characters with sports, the use of online betting, the co-representation of gambling along other risky behaviours such as eating junk food and drinking alcohol, the amount of money wagered, and other variables such as the representation of free bets, humour, and celebrities. The results showed a male-dominant betting representation with no interaction between women. Typically, bettors were depicted surrounded by people but isolated in their betting, emphasizing the individual consumption practice that mobile betting promotes. In-play betting was observed in almost half of the adverts. A little empirical evidence indicates that betting while watching sport in betting adverts is associated with emotionally charged situations such as celebrations and/or alcohol drinking. Bettors were typically depicted staking small amounts of money with large potential returns, implying high risk bets. Overall, the study provides preliminary evidence in understanding the social representation of betting behaviour by bookmakers and critiques the problematic consequences of such representation from a public health perspective

Sports betting marketing and advertising: a brief overview

Marketing stratgies are essential in a market environment such as online sports betting wherein product differentiation is minimal and price inelasticity robust (Hing, 2014). Business insiders widely accept that product innovation is instantly replicated across competitors, which are permanently seeking to generate, so far unfruitfully, a disruptive competitive edge. In a context where the number of licensed bookmakers is constantly growing, advertising plays a big part in luring customers who cannot tell the difference between companies. Advertising and marketing spend on sports betting has greatly increased over the last five years in Europe (Lopez-Gonzalez, Estévez & Griffiths, 2017)

The effect of calcitriol, paricalcitol, and a calcimimetic on extraosseous calcifications in uremic rats

Vitamin D derivatives and calcimimetics are used to treat secondary hyperparathyroidism in patients with chronic renal failure. We investigated the effect of calcitriol, paricalcitol, and the calcimimetic AMG 641 on soft-tissue calcification in uremic rats with secondary hyperparathyroidism. Control and uremic rats were treated with vehicle, calcitriol, paricalcitol, AMG 641, or a combination of AMG 641 plus calcitriol or paricalcitol. Parathyroid hormone levels were reduced by all treatments but were better controlled by the combination of paricalcitol and AMG 641. The calcimimetic alone did not induce extraosseous calcification but co-administration of AMG 641 reduced soft-tissue calcification and aortic mineralization in both calcitriol- and paricalcitol-treated rats. Survival was significantly reduced in rats treated with calcitriol and this mortality was attenuated by co-treatment with AMG 641. Our study shows that extraskeletal calcification was present in animals treated with calcitriol and paricalcitol but not with AMG 641. When used in combination with paricalcitol, AMG 641 provided excellent control of secondary hyperparathyroidism and prevented mortality associated with the use of vitamin D derivatives without causing tissue calcification