Which-path problem for one and two particles with two degrees of freedom and a relation between transverse spatial structure and group velocity of light

Quantum mechanics, optics and indeed any wave theory exhibits the phenomenon of interference. In this thesis we present two problems investigating interference due to indistinguishable alternatives and a mostly unrelated investigation into the free space propagation speed of light pulses in particular spatial modes. In chapter 1 we introduce the basic properties of the electromagnetic field needed for the subsequent chapters. In chapter 2 we review the properties of interference using the beam splitter and the Mach-Zehnder interferometer. In particular we review what happens when one of the paths of the interferometer is marked in some way so that the particle having traversed it contains information as to which path it went down (to be followed up in chapter 3) and we review Hong-Ou-Mandel interference at a beam splitter (to be followed up in chapter 5). In chapter 3 we present the first of the interference problems. This consists of a nested Mach-Zehnder interferometer in which each of the free space propagation segments are weakly marked by mirrors vibrating at different frequencies [1]. The original experiment drew the conclusions that the photons followed disconnected paths. We partition the description of the light in the interferometer according to the number of paths it contains which-way information about and reinterpret the results reported in [1] in terms of the interference of paths spatially connected from source to detector. In chapter 4 we briefly review optical angular momentum, entanglement and spontaneous parametric down conversion. These concepts feed into chapter 5 in which we present the second of the interference problems namely Hong-Ou-Mandel interference with particles possessing two degrees of freedom. We analyse the problem in terms of exchange symmetry for both boson and fermion pairs and show that the particle statistics at a beam splitter can be controlled for suitably chosen states. We propose an experimental test of these ideas using orbital angular momentum entangled photons. In chapter 6 we look at the effect that the transverse spatial structure of the mode that a pulse of light is excited in has on its group velocity. We show that the resulting group velocity is slower than the speed of light in vacuum for plane waves and that this reduction in the group velocity is related to the spread in the wave vectors required to create the transverse spatial structure. We present experimental results of the measurement of this slowing down using Hong-Ou-Mandel interference.

Quantification of variable palmar ligaments around the triquetrum-hamate joint determined by lunate type

The ligaments of the wrist are highly variable and poorly described, which is more obvious on the ulnar side of the wrist. Previous studies highlighted the potential differences within the ligaments of the wrist but no consensus has been reached. Poor tissue description and inconsistent use of terminology hindered the reproducibility of the results. Improved understanding of the morphological variations between carpal bones may facilitate improved understanding of the ligamentous structure within the wrist. This study aims to identify the potential variations between carpal bones that could be used to separate palmar ligamentous patterns around the triquetrum-hamate joint into subgroups within the sample population. Investigations were performed following a detailed nomenclature and a clear definition of ligamentous structures to facilitate detailed description and reproducible results. Quantitative analyses were conducted using 3D modelling technique. Histological sections were then analysed to identify the structure of each ligamentous attachment. Variable patterns of ligamentous attachments were identified. Differences were not only obvious between samples but also between the right and left hands of the same person. These identifications suggested that the palmar ligamentous patterns around the triquetrum-hamate joint are best described as a spectrum with a higher affinity of the triquetrum-hamate-capitate ligament and the lunate-triquetrum ligament to be associated with type I lunate wrists on one extreme and type II lunate wrists with the palmar triquetrum-hamate ligament, triquetrum-hamate-capitate ligament and palmar radius-lunate-triquetrum ligament attachments at the other extreme. Histological analyses confirmed pervious established work regarding the mechanical role of ligaments in wrist joint biomechanics. Also, there were no significant differences between the quantitative data obtained from the Genelyn-embalmed and unembalmed specimens (p>0.05). The current study demonstrated variable ligamentous patterns that suggest different bone restraints and two different patterns of motion. These findings support previous suggestions regarding separating the midcarpal joint into two distinct functional types. Type I wrists were identified with ligamentous attachments that are suggestive of rotating/translating hamate whilst type II wrists identified with ligamentous attachments that are suggestive of flexing/extending hamate motion based upon the patterns of the ligamentous attachments in relation to the morphological features of the underlying lunate type of the wrist. This opens the horizon for particular consideration and/or modification of surgical procedures, which may enhance the clinical management of wrist dysfunction.

Cultural citizenship and its implications for citizenship education: Chinese university students’ civic experience in relation to mass media and the university citizenship curriculum

A growing body of research has argued that university citizenship curricula are inefficient in promoting civic participation, while there is a tendency towards a broader citizenship understanding and new forms of civic engagements and citizenship learning in everyday life. The notion of cultural citizenship in this thesis concentrates on media practices’ relation to civic expression and civic engagement. This research thus argues that not enough attention has been paid to the effects of citizenship education policy on students and students’ active citizenship learning in China. This thesis examines the civic experience of university students in China in the parallel contexts of widespread adoption of mass media and of university citizenship education courses, which have been explicitly mandatory for promoting civic morality education in Chinese universities since 2007. This research project raises significant questions about the meditating influences of these two contexts on students’ perceptions of civic knowledge and civic participation, with particular interest to examine whether and how the notion of cultural citizenship could be applied in the Chinese context and whether it could provide certain implications for citizenship education in China. University students in one university in Beijing contributed to this research by providing both quantitative and qualitative data collected from mixed-methods research. 212 participants contributed to the questionnaire data collection and 12 students took part in interviews. Guided by the theoretical framework of cultural citizenship, a central focus of this study is to explore whether new forms of civic engagement and civic learning and a new direction of citizenship understanding can be identified among university students’ mass media use. The study examines the patterns of students’ mass media use and its relationship to civic participation, and also explores the ways in which mass media shape students and how they interact and perform through the media use. In addition, this study discusses questions about how national context, citizenship tradition and civic education curricula relate to students’ civic perceptions, civic participation and civic motivation in their enactment of cultural citizenship. It thus tries to provide insights and identify problems associated with citizenship courses in Chinese universities. The research finds that Chinese university students can also identify civic issues and engage in civic participation through the influence of mass media, thus indicating the application of cultural citizenship in the wider higher education arena in China. In particular, the findings demonstrate that students’ citizenship knowledge has been influenced by their entertainment experiences with TV programs, social networks and movies. However, the study argues that the full enactment of cultural citizenship in China is conditional with regards to characteristics related to two prerequisites: the quality of participation and the influence of the public sphere in the Chinese context. Most students in the study are found to be inactive civic participants in their everyday lives, especially in political participation. Students express their willingness to take part in civic activities, but they feel constrained by both the current citizenship education curriculum in universities and the strict national policy framework. They mainly choose to accept ideological and political education for the sake of personal development rather than to actively resist it, however, they employ creative ways online to express civic opinions and conduct civic discussion. This can be conceptualised as the cultural dimension of citizenship observed from students who are not passively prescribed by traditional citizenship but who have opportunities to build their own civic understanding in everyday life. These findings lead to the conclusion that the notion of cultural citizenship not only provides a new mode of civic learning for Chinese students but also offers a new direction for configuring citizenship in China. This study enriches the existing global literature on cultural citizenship by providing contemporary evidence from China which is a developing democratic country, as well as offering useful information for Chinese university practitioners, policy makers and citizenship researchers on possible directions for citizenship understanding and citizenship education. In particular, it indicates that it is important for efforts to be made to generate a culture of authentic civic participation for students in the university as well as to promote the development of the public sphere in the community and the country generally.