Superposition and second quantization in classical mechanics
نویسندگان
چکیده
منابع مشابه
Towards the topological quantization of classical mechanics
We consider the method of topological quantization for conservative systems with a finite number of degrees of freedom. Maupertuis’ formalism for classical mechanics provides an appropriate scenario which permit us to adapt the method of topological quantization, originally formulated for gravitational field configurations. We show that any conservative system in classical mechanics can be asso...
متن کاملSolutions to Problems in Goldstein, Classical Mechanics, Second Edition
A nucleus, originally at rest, decays radioactively by emitting an electron of momentum 1.73 MeV/c, and at right angles to the direction of the electron a neutrino with momentum 1.00 MeV/c. ( The MeV (million electron volt) is a unit of energy, used in modern physics, equal to 1.60 x 10 erg. Correspondingly, MeV/c is a unit of linear momentum equal to 5.34 x 10 gm-cm/sec.) In what direction doe...
متن کاملSecond quantization representation for classical many - particle system
The second quantization method is applied to classical many-particle systems. Statistical quantities such as free energy and time correlation functions are expressed in terms of creation and annihilation operators. The method is especially useful for the system in which the number of the composite molecules changes with time, e.g. the system including chemical reaction.
متن کاملIrreversibility in Classical Mechanics
An explanation of the mechanism of irreversible dynamics was offered. The explanation was obtained within the framework of laws of classical mechanics by the expansion of Hamilton formalism. Such expansion consisted in adaptation of it to describe of the nonpotential interaction of a systems. The procedure of splitting of a system into equilibrium subsystems, presentation of subsystem’s energy ...
متن کاملClassical Mechanics
here xi = (xi1, . . . , xid) are coordinates of the i-th particle and ∂xi is the gradient (∂xi1 , . . . , ∂xid); d is the space dimension (i.e. d = 3, usually). The potential energy function will be supposed “smooth”, i.e. analytic except, possibly, when two positions coincide. The latter exception is necessary to include the important cases of gravitational attraction or, when dealing with ele...
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: Results in Physics
سال: 2019
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2019.102387