title: Editorial: Organisational Behaviour

authors: Haar, Jarrod M.

subjects: human resource management

abstract: Welcome to the first of our set of Special Editions of the New Zealand Journal of Human Resource Management (NZJHRM). The idea behind the current set of Special Issue’s was trying to promote emerging research and researchers from New Zealand and Australasia undertaking research of interest to Human Resource Management professionals, academics, and researchers. A number of these papers were presented at the Australian and New Zealand Academy of Management (ANZAM) Conference in Auckland 2008 and as such, I would like to acknowledge the initial work of reviewers from the conference through the various HRM-related streams. The new focus of the NZJHRM has been broadened to encompass the wider settings of other Australasian countries because often the lessons these studies provide are as applicable to New Zealand as they are to their specific local setting. The present Special Issue covers a wide variety of cultural settings including Australia, Malaysian, and India. Given the growth of globalization and the cultural diversity found in New Zealand, I believe the lessons found here are likely to be at least somewhat transferable to our New Zealand setting and should provide greater understanding of commonalities in HRM within our Australasian region.

text: Editorial: Organisational Behaviour Welcome to the first of our set of Special Editions of the New Zealand Journal of Human Resource Management (NZJHRM). The idea behind the current set of Special Issue’s was trying to promote emerging research and researchers from New Zealand and Australasia undertaking research of interest to Human Resource Management professionals, academics, and researchers. A number of these papers were presented at the Australian and New Zealand Academy of Management (ANZAM) Conference in Auckland 2008 and as such, I would like to acknowledge the initial work of reviewers from the conference through the various HRM-related streams. The new focus of the NZJHRM has been broadened to encompass the wider settings of other Australasian countries because often the lessons these studies provide are as applicable to New Zealand as they are to their specific local setting. The present Special Issue covers a wide variety of cultural settings including Australia, Malaysian, and India. Given the growth of globalization and the cultural diversity found in New Zealand, I believe the lessons found here are likely to be at least somewhat transferable to our New Zealand setting and should provide greater understanding of commonalities in HRM within our Australasian region.

year: 2009

title: Variable separation for Heat and Schrödinger equations

authors: Reid, Gregory John

abstract: All R-separable coordinate systems are classified for the equation
Δₘ Ψ + 2ε ∂/∂t Ψ = EΨ (*)
where Δₘ = ᵐΣ ᵤ₌₁ ∂²/(∂yᵘ)² and the variables t and yᵘ are real. An R-separable coordinate system for (*) is a coordinate system yᵘ = yᵘ (xᵏ), t = t (xᵏ) such that (*) admits a solution of form Ψ = eᴿ⁽ˣⁱ⁾ ᵐ⁺¹Πᵢ₌₁ Ψᵢ(xⁱ;c₁, ···, cₘ₊₁). For ε = ⁱ/₂ and ε = - ¹/₂, E = 0, (*) yields standardised versions of the Schrӧdinger and Heat equations respectively. Recognition of (*) as a symmetry-reduced version of the Helmholtz equation on m + 2 dimensional Minkowski space, for which there is a well developed theory of separation, is central to the solution of the classification problem. The solution is built from the case ε = 0 which has been solved by Kalnins and Miller in an article submitted to the Transactions of the American Mathematical Society.
We find the operators and separation equations for (*) and give a detailed treatment of the physically interesting case m =3. The operators are always in the enveloping algebra of the Schrӧdinger algebra. This means that much of the special function theory relating to the separated solutions can be reduced to problems in the representation theory of this algebra.
Various complex extensions of (*) are treated. In particular a class of systems is uncovered leading to nontrivial R-separation for the Hamilton-Jacobi equation corresponding to (*). A formula is derived for expressing the second order Killing tensors describing separation in flat spaces in terms of the enveloping algebra. This formula forms the basis of a program written in the symbolic language MACSYMA capable of producing all the time consuming details of separation.

text: Variable separation for Heat and Schrödinger equations All R-separable coordinate systems are classified for the equation
Δₘ Ψ + 2ε ∂/∂t Ψ = EΨ (*)
where Δₘ = ᵐΣ ᵤ₌₁ ∂²/(∂yᵘ)² and the variables t and yᵘ are real. An R-separable coordinate system for (*) is a coordinate system yᵘ = yᵘ (xᵏ), t = t (xᵏ) such that (*) admits a solution of form Ψ = eᴿ⁽ˣⁱ⁾ ᵐ⁺¹Πᵢ₌₁ Ψᵢ(xⁱ;c₁, ···, cₘ₊₁). For ε = ⁱ/₂ and ε = - ¹/₂, E = 0, (*) yields standardised versions of the Schrӧdinger and Heat equations respectively. Recognition of (*) as a symmetry-reduced version of the Helmholtz equation on m + 2 dimensional Minkowski space, for which there is a well developed theory of separation, is central to the solution of the classification problem. The solution is built from the case ε = 0 which has been solved by Kalnins and Miller in an article submitted to the Transactions of the American Mathematical Society.
We find the operators and separation equations for (*) and give a detailed treatment of the physically interesting case m =3. The operators are always in the enveloping algebra of the Schrӧdinger algebra. This means that much of the special function theory relating to the separated solutions can be reduced to problems in the representation theory of this algebra.
Various complex extensions of (*) are treated. In particular a class of systems is uncovered leading to nontrivial R-separation for the Hamilton-Jacobi equation corresponding to (*). A formula is derived for expressing the second order Killing tensors describing separation in flat spaces in terms of the enveloping algebra. This formula forms the basis of a program written in the symbolic language MACSYMA capable of producing all the time consuming details of separation.

year: 1984

title: Horowaewae

authors: Maxwell, Te Kahautu

abstract: Horowaewae is dedicated to Horowaewae Maxwell a Te Matatini Lifemember. Horowaewae is from the Rotorua area and the Te Arawa iwi. He is a foundation member of the champion kapa haka Ngāti Rangiwewehi. Horowaewae has been a performer, a male leader, the Te Arawa delegate to the Te Matatini National Committee. He has served kapa haka in its development since the inception of Te Matatini in 1972 and prior to this performing in the tourism industry in Rotorua. Horowaewae was performed by Ōpōtiki Mai Tawhiti at the 2013 Te Matatini World Championship Kapa Haka Competition.

text: Horowaewae Horowaewae is dedicated to Horowaewae Maxwell a Te Matatini Lifemember. Horowaewae is from the Rotorua area and the Te Arawa iwi. He is a foundation member of the champion kapa haka Ngāti Rangiwewehi. Horowaewae has been a performer, a male leader, the Te Arawa delegate to the Te Matatini National Committee. He has served kapa haka in its development since the inception of Te Matatini in 1972 and prior to this performing in the tourism industry in Rotorua. Horowaewae was performed by Ōpōtiki Mai Tawhiti at the 2013 Te Matatini World Championship Kapa Haka Competition.

year: 2012-09-13