Quaternionic differential operators

Motivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical theory, namely the resolution of the second order differential equations with constant coefficients. We overcome the problems coming out from the loss of the fundamental theorem of the algebra for quaternions and propose a practical method to solve quaternionic and complex linear second order differential equations with constant coefficients. The resolution of the complex linear Schrodinger equation, in presence of quaternionic potentials, represents an interesting application of the mathematical material discussed in this paper.Comment: 25 pages, AMS-Te

Study

Wireless sensor networks are successfully used in the conditions of war as well as natural calamities like earthquake, flood, volcanoes etc. Rapid technological advances in the area of micro electro-mechanical systems have spurred the development of small inexpensive sensors capable of intelligent sensing. A significant amount of research has been done in the area of connecting large numbers of these sensors to create robust and scalable Wireless Sensor Networks (WSNs). Proposed applications for WSNs include habitat monitoring, battlefield surveillance, and security systems. WSNs aim to be energy efficient, self-organizing, scalable, and robust. Relatively little work has been done on security issues related to sensor networks. The resource scarcity, ad-hoc deployment, and immense scale of WSNs make secure communication a particularly challenging problem. The primary consideration for sensor networks is energy efficiency, security schemes must balance their security features against the communication and computational overhead required to implement them. This paper will describe the fundamental challenges in the emergent field of sensor network security and the initial approaches to solving them

Presidential Inability: Hearing Before the Special Subcommittee on Study of Presidential Inability of the Committee on the Judiciary, House of Representatives, 85th Congress

Text of proposed legislation, testimony, and documents relating to situations in which the President is unable to discharge the powers and duties of his office.https://ir.lawnet.fordham.edu/twentyfifth_amendment_congressional_materials/1003/thumbnail.jp