Hamilton-Jacobi approach to Berezinian singular systems

In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra. We derive the Hamilton-Jacobi equation for such systems, analizing the singular case in order to obtain the equations of motion as total differential equations and study the integrability conditions for such equations. An example is solved using both Hamilton-Jacobi and Dirac's Hamiltonian formalisms and the results are compared.Comment: LaTex, 30 pages, no figure

How do the events leading up to the World War I and the war itself affect the protagonist Lt. Henry and the characters close to him in the novel “Farewell to Arms” ?

The aim of this extended essay is to state the effects of events taking place and changing life standarts of the main character Lt. Frederic Henry and people around him especially Catherine Barkley in WWI in the novel “Farewell to Arms”. In this essay the effects of war on main character, people who are in close relationship with him and friendships after the war are examined. There are various changes in people’s lives especially the main character himself before and after the war. The situations that the main character Lt. Henry encountered with his friends both in military service and civil life took my interest to write this essay. There are many problems that the main character faced during WWI such as starvation and death of a close friend but these are only the ones that happened when he was in The Italian Army. By depicting those negative situations Ernest Hemingway critisizes war. Interrelational and psychological breakdowns that the characters face are emphasized as a reality of war in this novel. The narrator does not directly express these destructions during WWI. Instead, the narrator communicates ideas via main character Lt. Frederic Henry’s observations and experiences of war. As a person with dual nationality born in the USA, these observations are expository and declared. Thus his experiences of these realities such as feeling of loss, pain and love during WWI are highlighted. During this war, his life considerably changes as he tries to pursuit his love and relocate in order to meet his beloved again but their distress does not end although they escape from Italy to Switzerland. In army, he also gains affinity to violence by hurting people. In this way the protagonist undergoes changes and his life differentiates as well, but is it possible to confront all the problems

General Relativity in two dimensions: a Hamilton-Jacobi constraint analysis

We will analyze the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We will be able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized brackets we will show how to assure integrability of the theory, to eliminate the set of non-involutive constraints, and to build the field equations

Hamilton - Jacobi treatment of front-form Schwinger model

The Hamilton-Jacobi formalism was applied to quantize the front-form Schwinger model. The importance of the surface term is discussed in detail. The BRST-anti-BRST symmetry was analyzed within Hamilton-Jacobi formalism.Comment: 11 pages, to be published in Int. Journ. Mod. Phys.