Non-point transformations in classical mechanics
نویسندگان
چکیده
منابع مشابه
Classical and Non-Classical Representations in Physics II: Quantum Mechanics
The conceptual and formal structure of quantum mechanics is analysed from the point of view of the dynamics of distinctions, occcuring during the observation process. The Hilbert space formalism is simplified with the help of the concept of closure: closure of an eigenstate under an operator is generalized to the linear closure of a subset of states, and this is further simplified to orthogonal...
متن کاملTransformations of Space and Time in Quantum Mechanics in Comparison to Classical Mechanics
The standard structures of nonrelativistic quantum mechanics and classical mechanics do not change if special nonintegrable space and time transformations are performed. The physical diierence between both theories is reeected in the appearance or the absence of a condition between the space and the time transformation .
متن کاملThe classical mechanics of non-conservative systems
Hamilton’s principle of stationary action lies at the foundation of theoretical physics and is applied in many other disciplines from pure mathematics to economics. Despite its utility, Hamilton’s principle has a subtle pitfall that often goes unnoticed in physics: it is formulated as a boundary value problem in time but is used to derive equations of motion that are solved with initial data. T...
متن کاملNon - relativistic classical mechanics for spinning particles ∗
[ψ ≡ ψγ, p̂ ≡ i~∂, and Ŝ ≡ i~(γγ − γγ)/4 represents the spin tensor operator]. The first term in the r.h.s. is associated with the translational motion of the CM; whilst, the non-Newtonian term in the r.h.s. is related to the existence of the spin, and describes the Zitterbewegung rotational motion. Analogous Gordon-like decompositions of the conserved currents can be written for spin-1 bosons a...
متن کاملNon-Hermitian techniques of canonical transformations in quantum mechanics.
The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum form of the classical Hamiton-Jacobi theory is also employed to solve time d...
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: Journal of Physical Studies
سال: 1999
ISSN: 1027-4642,2310-0052
DOI: 10.30970/jps.03.1