Application of Eigenkets of Bosonic Creation Operator in Deriving Some New Formulas of Associated Laguerre Polynomials

Using the resolution of unity composed of bosonic creation operator＇s eigenkets and annihilation operator＇s un-normalized eigenket, which is a new quantum mechanical representation in contour integration form, we derive new contour integration expression of associated Laguerre polynomials L^ρm （｜z｜^2） and its generalized generating function formula. A series of recursive relations regarding to L^ρm （｜z｜^2） are also deduced in the context of the Fock representation by algebraic method.

Squeezed State Caused by Inverse of Photon Creation Operator

Using the photon creation operator＇s eigenstate theory we derive the normally ordered expansion of inverse of the squeezed creation operator. It turns out that using this operator a kind of excitation on the squeezed vacuum states can be formed.

Stakeholders’ Participation in Agricultural Farmers’ Extension Services Programmes in Sub-Saharan Africa: A Case of the Operation Wealth Creation (OWC) Programme in Uganda

The paper presents findings from a study carried out to assess the contribution of stakeholders’participation on the performance of the national agricultural farmers’extension services programme in Uganda known as Operation Wealth Creation(OWEC).Specifically,the study sought to establish how participatory planning,budgeting,monitoring and evaluation(M&E)respectively contributed to the performance of OWC in selected district in central Uganda.The study adopted a cross-sectional survey design using both quantitative and qualitative data collection and analysis techniques and employed both questionnaires and interview guides on key participants in the programme.Findings of the study indicated positive relationships between stakeholders’participation and programme performance with participatory planning,budgeting and M&E all having positive significant effects on the performance of OWC programme.The study concluded that indeed stakeholders’participation contributed to improved performance of the OWC programme.The study recommends increased funding and M&E of the agricultural extension programmes for improved performance.

An Interacting Gauge Field Theoretic Model for Hodge Theory: Basic Canonical Brackets

We derive the basic canonical brackets amongst the creation and annihilation operators for a two(1 + 1)-dimensional(2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field(Aμ) is coupled with the fermionic Dirac fields(ψ andˉψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries(and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta(corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries(and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level.