The Lie–Rinehart Universal Poisson Algebra of Classical and Quantum Mechanics
نویسندگان
چکیده
منابع مشابه
Categorified Algebra and Quantum Mechanics
The process some call ‘categorification’ consists of interpreting set-theoretic structures in mathematics as derived from category-theoretic structures. Examples include the interpretation of as the Burnside rig of the category of finite sets with product and coproduct, and of [x] in terms the category of combinatorial species. This has interesting applications to quantum mechanics, and in part...
متن کاملUniversal quantum mechanics
If gravity respects quantum mechanics, it is important to identify the essential postulates of a quantum framework capable of incorporating gravitational phenomena. Such a construct likely requires elimination or modification of some of the “standard” postulates of quantum mechanics, in particular those involving time and measurement. This paper proposes a framework that appears sufficiently ge...
متن کاملMixing Quantum and Classical Mechanics
Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is antisymmetric and satisfies the Jacobi identity, and, therefore, leads to a natural description of interaction between quantum and classical degrees of f...
متن کاملQuantum Mechanics and the Mechanism of Sexual Reproduction
There are many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms. The mechanism of the meiosis, mitosis and gametes life cycle from the view-point of quantum for human has been represented. The quantum gates have been used to simulate these processes for the first time. The reason of several hundred sperms has been explained in the male too
متن کاملClassical Limit of Quantum Mechanics
para o valor esperado de uma dada observável fı́sica A = A(p, q, t) representada pelo operador Â. As equações (1) e (2) são válidas desde que o potencial externo V varie vagarosamente dentro de um pacote de onda bem localizadoψPE (Pacote de Ehrenfest). Assim, de acordo com os livros-texto [1], as equações de Newton são obtidas como limite clássico da equação de Schrödinger. No entanto, Ballentin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2008
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-008-0280-5