Floquet’s theorem, a temporal analogue of Bloch’s theorem, is used for studying a time-dependent potential. With applications in cold atoms on optical lattices, quantum dots and more, there is a growing interest in Floquet engineering exotic materials and phases. By solving the time-dependent Schrödinger equation scattering amplitudes are derived from which the transmission spectrum are generated. The driving field induces Floquet sidebands into which the particle can inelastically scatter. Fano resonances are observed when the incoming particle and a bound state of the staticpotential differ by some energy quanta. This process is mediated by the driving field. The scattering matrix and transmission spectra are reproduced from previous work on electron gas, graphene, and a semi-metal admitting a point of quadratic band touching (QBT). The QBT system is extended with linear tilting along the potential, which proves to be another good quantum number for tunable control.

Every child has the constitutional right to be protected from maltreatment, neglect or abuse. However, contrasting every child's constitutional right is the escalating worldwide prevalence of child sexual abuse. The incidence of child sexual abuse must be reduced as far as possible by a multi-faceted approach, including effective prevention programmes which facilitate disclosure and empower children. Since insufficient South African research on prevention programmes and preventative measures are available, the primary aim of the study was to develop a board game which can foster the prevention of sexual abuse of children. Scientifically, the motivation for the study was based on the improved understanding of the educational impact of a board game as primary prevention tool. The researcher developed the HOOC board game as part of the Hands Off Our Children Campaign. The board game, being practical and educational, has the goal of teaching children self-protective behaviours that can lower their probability of being abused. A representative sample of 1697 grade four learners, nine to twelve years of age, were selected from the Metropole East region. In order to determine the educational impact of the HOOC board game, the results of the children on the Children's Knowledge of Abuse Questionnaire-Revised (CKAQ-RIII) in the experimental and control groups were compared. The experimental group (n=407) received the board game as intervention. The control group (n=1290) did not receive any intervention. Performance on the test were also compared with gender and ethnicity. According to the obtained results, the HOOC board game correlated with the improvement of knowledge in an acceptable manner. No significant correlations were found between the scores of the tests and gender. The gender of a learner had no significant impact on the learner's ability to learn and retain information. A significant correlation was found between the difference in scores on the tests and the ethnic grouping of learners. It therefore seems that the ethnicity of a learner relates to the improvement of knowledge. Considering the overall results of the study, the use of the HOOC board game as preventative measure against the sexual abuse of grade four learners is acceptable. The HOOC board game offers a significant and valid preventative measure for sexual abuse of children in the middle age group within the South African context. / Practical Theology / D. Diac.

Every child has the constitutional right to be protected from maltreatment, neglect or abuse. However, contrasting every child's constitutional right is the escalating worldwide prevalence of child sexual abuse. The incidence of child sexual abuse must be reduced as far as possible by a multi-faceted approach, including effective prevention programmes which facilitate disclosure and empower children. Since insufficient South African research on prevention programmes and preventative measures are available, the primary aim of the study was to develop a board game which can foster the prevention of sexual abuse of children. Scientifically, the motivation for the study was based on the improved understanding of the educational impact of a board game as primary prevention tool. The researcher developed the HOOC board game as part of the Hands Off Our Children Campaign. The board game, being practical and educational, has the goal of teaching children self-protective behaviours that can lower their probability of being abused. A representative sample of 1697 grade four learners, nine to twelve years of age, were selected from the Metropole East region. In order to determine the educational impact of the HOOC board game, the results of the children on the Children's Knowledge of Abuse Questionnaire-Revised (CKAQ-RIII) in the experimental and control groups were compared. The experimental group (n=407) received the board game as intervention. The control group (n=1290) did not receive any intervention. Performance on the test were also compared with gender and ethnicity. According to the obtained results, the HOOC board game correlated with the improvement of knowledge in an acceptable manner. No significant correlations were found between the scores of the tests and gender. The gender of a learner had no significant impact on the learner's ability to learn and retain information. A significant correlation was found between the difference in scores on the tests and the ethnic grouping of learners. It therefore seems that the ethnicity of a learner relates to the improvement of knowledge. Considering the overall results of the study, the use of the HOOC board game as preventative measure against the sexual abuse of grade four learners is acceptable. The HOOC board game offers a significant and valid preventative measure for sexual abuse of children in the middle age group within the South African context. / Philosophy, Practical and Systematic Theology / D. Diac.