104,697 research outputs found
On the Path-Integral Derivation of the Anomaly for the Hermitian Equivalent of the Complex -Symmetric Quartic Hamiltonian
It can be shown using operator techniques that the non-Hermitian
-symmetric quantum mechanical Hamiltonian with a "wrong-sign" quartic
potential is equivalent to a Hermitian Hamiltonian with a positive
quartic potential together with a linear term. A naive derivation of the same
result in the path-integral approach misses this linear term. In a recent paper
by Bender et al. it was pointed out that this term was in the nature of a
parity anomaly and a more careful, discretized treatment of the path integral
appeared to reproduce it successfully. However, on re-examination of this
derivation we find that a yet more careful treatment is necessary, keeping
terms that were ignored in that paper. An alternative, much simpler derivation
is given using the additional potential that has been shown to appear whenever
a change of variables to curvilinear coordinates is made in a functional
integral.Comment: LaTeX, 12 pages, no figure
Recommended from our members
The Only Eye Study (OnES): a qualitative study of surgeon experiences of only eye surgery and recommendations for patient safety
OBJECTIVE: Performing surgery on patients with only one seeing-eye, where complications may result in catastrophic vision loss, presents unique challenges for the ophthalmic care team. There is currently no evidence regarding how surgeons augment their care when treating only eye patients and no guidelines for how these patients should be managed in hospital eye services. This study aimed to explore ophthalmic surgeons' experiences of only eye surgery and perceptions of current practice.
DESIGN AND PARTICIPANTS: Ten ophthalmic surgeons were asked to relate their experiences and views on performing only eye surgery in indepth, semistructured interviews. Interviews were audio-recorded and transcribed. Qualitative data were subjected to thematic analysis to identify key themes.
SETTING: Hospital eye service.
RESULTS: Five key themes emerged relating to surgeons' experiences and perceptions of only eye surgery: (1) differences in approach to consent, (2) strategies for risk reduction, (3) unmet training needs, (4) value of surgical mentor and (5) emotional impact of unsuccessful outcomes. Recommendations for improving the surgical journey for both the patient and the surgeon related primarily to better recognition and understanding of the complexities inherent with only eye surgery.
CONCLUSIONS: Outcomes of only eye surgery may be improved through a number of methods, including development of purpose-designed training fellowships, adoption of stress-reducing strategies and enhancement of available support services. The findings identify emerging themes unique to only eye surgery and the need for guidelines on the provision of care for these high-stakes surgical patients
The non-linear transient behavior of second, third and fourth order phase-locked loops
Non-linear transient behavior of second, third, and fourth order phase-locked loop
Seeing is believing: an interpretative phenomenological analysis of the experiences of the âspiritual but not religiousâ in Britain
A majority of the British population now consider themselves not religious, but many of these individuals still have some beliefs they consider spiritual. This study explores the connections between the beliefs and practices of five British participants who identified as âspiritual but not religiousâ (SBNR). Semi-structured interviews with each participant were analyzed inductively using interpretative phenomenological analysis (IPA). This analysis developed seven sub-themes that were organized into two superordinate themes: âExperiencing Transcendenceâ and âConstructing a Personal Spiritualityâ. The participantsâ spirituality was an important part of their identities and lives. They pragmatically and eclectically drew on a wide range of spiritual tools and resources to enrich their lives. In a complex world where they considered traditional sources of religious or spiritual authority untrustworthy, the participants developed their own answers to existential questions that resonated with their own experiences of the world. Both their personal experiences and sociocultural influences were important in shaping and sustaining the participantsâ worldviews and practices. These idiosyncratic ways that individuals made sense of their experiences show why it is important the research tools used to study worldview dynamics are sensitive to a wide range of factors and the iterative interactions between them
âI believe in something; I donât know what it isâ: an exploration of five British Hindusâ worldviews using interpretative phenomenological analysis
Previous research has suggested individuals can draw on resources from a diverserange of existential cultures when constructing their personal worldviews. However, the ways individualsâ beliefs and worldviews are acquired and develop is still onlypartially understood. This study investigates these processes of worldview dynamicsby exploring the beliefs and practices of five British Hindus. Semi-structured interviews with each participant were inductively analyzed using interpretative phenomenological analysis (IPA). This analysis developed six sub-themes which formed two superordinate themes: âEverybody has their own wayâ and âFocusing on this worldâ. The analysis shows the complexity of many individualsâ worldviews and demonstrates how individuals can live in a hinterland between religiosity and non-religiosity. For these participants, existential beliefs were idiosyncratic and deeply personal. They rejected some aspects of their cultural heritage while retaining others. The participants were comfortable with uncertainty about such matters and were highly tolerant of divergent beliefs. Understanding how these participants made sense of their world increases our understanding of both worldview dynamics and the forms that secularity can take in modern Britain. This shows why more nuanced understandings of âbeliefâ are necessary to explore the complexity of peopleâs lived experiences
Quantum field dynamics of the slow rollover in the linear delta expansion
We show how the linear delta expansion, as applied to the slow-roll
transition in quantum mechanics, can be recast in the closed time-path
formalism. This results in simpler, explicit expressions than were obtained in
the Schr\"odinger formulation and allows for a straightforward generalization
to higher dimensions. Motivated by the success of the method in the
quantum-mechanical problem, where it has been shown to give more accurate
results for longer than existing alternatives, we apply the linear delta
expansion to four-dimensional field theory.
At small times all methods agree. At later times, the first-order linear
delta expansion is consistently higher that Hartree-Fock, but does not show any
sign of a turnover. A turnover emerges in second-order of the method, but the
value of at the
turnover. In subsequent applications of the method we hope to implement the
calculation in the context of an expanding universe, following the line of
earlier calculations by Boyanovsky {\sl et al.}, who used the Hartree-Fock and
large-N methods. It seems clear, however, that the method will become
unreliable as the system enters the reheating stage.Comment: 17 pages, 9 figures, revised version with extra section 4.2 including
second order calculatio
Using a fuzzy inference system to control a pumped storage hydro plant
The paper discusses the development of a fuzzy inference system (FIS) based governor control for a pumped storage hydroelectric plant. The First Hydro Company's plant at Dinorwig in North Wales is the largest of its kind in Europe and is mainly used for frequency control of the UK electrical grid. In previous investigations, a detailed model of the plant was developed using MATLAB(R)/SIMULINK(R) and this is now being used to compare FIS governor operation with the proportional-integral-derivative (PID) controller currently used. The paper describes the development of an FIS governor, and shows that its response to a step increase in load is superior to the PID under certain conditions of load. The paper proceeds to discuss the implications of these results in view of the possible practical application of an FIS governor at the Dinorwig plant
- âŠ