{"product_id":"analytical-mechanics-for-relativity-and-quantum-mechanics","title":"Analytical Mechanics for Relativity and Quantum Mechanics","description":"\u003cp\u003eAn innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It is intended for use at the introductory graduate level. A distinguishing feature of the book is its integration of special relativity into teaching of classical mechanics. After a thorough review of the traditional theory, Part II of the book introduces extended Lagrangian and Hamiltonian methods\n\u003cbr\u003ethat treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Langrangians and Hamiltonians, canonical transformations, and\n\u003cbr\u003eHamilton-Jacobi methods are simplified by the use of this extended theory. And the definition of canonical transformation no longer excludes the Lorenz transformation of special relativity. This is also a book for those who study analytical mechanics to prepare for a critical exploration of quantum mechanics. Comparisons to quantum mechanics appear throughout the text. The extended Hamiltonian theory with time as a coordinate is compared to Dirac's formalism of primary phase space constraints.\n\u003cbr\u003eThe chapter on relativistic mechanics shows how to use covariant Hamiltonian theory to write the Klein-Gordon and Dirac equations. The chapter on Hamilton-Jacobi theory includes a discussion of the\n\u003cbr\u003eclosely related Bohm hidden variable model of quantum mechanics. Classical mechanics itself is presented with an emphasis on methods, such as linear vector operators and dyadics, that will familiarize the student with similar techniques in quantum theory. Several of the current fundamental problems in theoretical physics - the development of quantum information technology, and the problem of quantizing the gravitational field, to name two - require a rethinking of the quantum-classical\n\u003cbr\u003econnection. Graduate students preparing for research careers will find a graduate mechanics course based on this book to be an essential bridge between their undergraduate training and advanced study in\n\u003cbr\u003eanalytical mechanics, relativity, and quantum mechanics.\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":46060250431726,"sku":"9780191001628","price":189.4,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780191001628.jpg?v=1736508937","url":"https:\/\/bookland.com.au\/products\/analytical-mechanics-for-relativity-and-quantum-mechanics","provider":"Book Land AU","version":"1.0","type":"link"}