Observations on Unstable Quantons, Hyperplane Dependence and Quantum Fields

There is persistent heterodoxy in the physics literature concerning the proper treatment of those quantons that are unstable against spontaneous decay. Following a brief litany of this heterodoxy, I develop some of the consequences of assuming that such quantons can exist, undecayed and isolated, at definite times and that their treatment can be carried out within a standard quantum theoretic state space. This assumption requires hyperplane dependence for the unstable quanton states and leads to clarification of some recent results concerning deviations from relativistic time dilation of decay lifetimes. In the course of the discussion I make some observations on the relationship of unstable quantons to quantum fields.Comment: 29 pages, 4 figures, revised with added references, section 4 revise

On the Quantum Deviations from Einstein Dilation of Unstable Quanton Decay Evolution and Lifetimes

For over a decade several workers have argued for the existence of quantum deviations from the classical, Einstein dilation of the decay evolution of moving or Lorentz boosted unstable particles. While the general claim is correct, the discussions have been incomplete and, sometimes, misleading. The discussions have been of three kinds. Type 1 examines the time dependence of the survival probability for 3-momentum eigenstates of the unstable quanton (Khalfin). Type 2 does the same for velocity eigenstates, obtaining an outrageous result which then discredits velocity eigenstates (Shirokov / Hegerfeldt). Type 3 examines arbitrary boosts of 3-momentum eigenstates (Stefanovich). Type 1 is incomplete since the momentum eigenstates are not the boosts of one another. Type 2 is misleading since the outrageous result is due to misinterpreting the initial conditions of the velocity eigenstates (as I have previously argued). Type 3 is the most satisfactory, but has failed to recognize and implement the unification of all three types of discussion that can be achieved. In this paper I will provide that unified treatment, beginning with a recapitulation of Type 1 and offering further clarification of Type 2 in the process. The unified treatment fully reinstates velocity eigenstates as essential contributors to unstable quanton states. Besides discussing the time evolution of survival probabilities I also focus on the concept of lifetime defined as the average time of decay. This quantity is helpful in order to display the inequivalent dependence of dilation on momentum and boosts most sharply and the deviation from Einstein dilation most cleanly.Comment: 40 pages, 2 figure

Enzymatic transhalogenation of dendritic RGD peptide constructs with the fluorinase

We thank EPSRC and the Scottish Imaging Network (SINAPSE) for grants. DO’H thanks the Royal Society for a Wolfson Research Merit Award and ST is grateful to the John and Kathleen Watson Scholarship for financial support. We are grateful to Dr Catherine Botting and Dr Sally Shirran of the St Andrews Mass Spectrometry Service for MALDI-MS acquisitions. We also thank Dr Sally Pimlott of the University of Glasgow for the use of radiochemistry facilities. Open access via RSC Gold for Gold.Peer reviewedPublisher PD

AN ANALYSIS OF COMPETING AGRICULTURAL LAND USES

Land Economics/Use,

ESTIMATED IMPACT OF NON-PRICE COORDINATION OF FED CATTLE PURCHASES ON MEAT PACKER PROCESSING COSTS

Stochastic simulation of daily slaughter level was used in conjunction with an estimated packing plant cost curve to assess potential reductions in processing costs due to improved vertical coordination between feedlots and packing plants. Results indicate that processing cost reductions of $1 to$5 per head may be possible. Savings result from ensuring a more stable processing volume that is near the plant's cost-minimizing level of production.cattle, cost curve, meat packing, vertical coordination, Industrial Organization, Livestock Production/Industries,

Shirokov's contracting lifetimes and the interpretation of velocity eigenstates for unstable quantons

This paper is concerned with the interpretation of velocity eigenstates for unstable quantons, their relationship to space like momentum eigenstates for such quantons and the explanation of Shirokovs contracting lifetimes for such velocity eigenstates. It is an elaboration of a portion of the authors earlier study.Comment: 14 pages, three figures, section 5 revised, appendix added, sequel to arXiv:0903.183

Intimate partner psychological abuse and posttraumatic stress symptoms : the role of shame during recall of psychological abuse memories.

To help understand why intimate partner psychological abuse has been associated with posttraumatic stress (PTS) symptoms in past studies, two studies of college-aged individuals tested a mediational model in which shame during recall was hypothesized to mediate associations between psychological abuse memory recall and PTS symptom severity. The model was partially supported. Experiment 1 established the first piece of the model by linking recall of a psychological abuse memory to increases in state shame from pre- to post-recall. Consistent with the hypothesis, there was a statistically significant interaction between memory condition (psychological abuse memory, non-abuse relationship memory) and time of assessment (pre-recall, post recall) for state shame. Increases in state shame from pre- to post-recall were observed for psychological abuse memories, but not for non-abuse relationship memories. To establish the second piece of the model, Experiment 2 tested the hypothesis that increases in past-day PTS symptom severity would be observed from pre-recall to 24 hours post-recall of a shameful psychological abuse memory. Contrary to the hypothesis, there was not a statistically significant interaction between memory group (shameful psychological abuse memory, emotionally-neutral relationship memory) and time of assessment (pre-recall, post-recall) for past-day PTS symptom severity. Instead, for women overall, there was a statistically significant decrease in past-day PTS symptom severity from pre- to post-recall. Ancillary hypotheses regarding specific PTS symptom clusters were also unsupported. Thus, the results did not provide support for the second piece of the mediational model. When both experiments were considered, a causal pathway from recall of a psychological abuse memory to increased post-recall PTS symptom severity via shame during recall was not established. Several factors (e.g., instrumentation problems related to the measure of past-day PTS symptom severity and unmeasured memory properties) may partially explain why shameful psychological abuse memory recall and PTS symptoms were not linked and, therefore, further consideration of the mediational model is warranted. This study revealed that psychological abuse memory recall is a potent precipitator of shame. Thus, the role of shame in post-abuse mental health among individuals with histories of psychological abuse may be particularly important for both researchers and clinicians to consider

Sales tax as a source of federal and state revenue.

Thesis (M.B.A.)--Boston Universit

The Accuracy of Perturbative Master Equations

We consider open quantum systems with dynamics described by master equations that have perturbative expansions in the system-environment interaction. We show that, contrary to intuition, full-time solutions of order-2n accuracy require an order-(2n+2) master equation. We give two examples of such inaccuracies in the solutions to an order-2n master equation: order-2n inaccuracies in the steady state of the system and order-2n positivity violations, and we show how these arise in a specific example for which exact solutions are available. This result has a wide-ranging impact on the validity of coupling (or friction) sensitive results derived from second-order convolutionless, Nakajima-Zwanzig, Redfield, and Born-Markov master equations.Comment: 6 pages, 0 figures; v2 updated references; v3 updated references, extension to full-time and nonlocal regime