## Search

Now showing items 1-10 of 2008

#### The frame of fixed stars in Relational **Mechanics**

(Springer, 2016-10-07)

Relational mechanics is a gauge theory of classical mechanics whose laws do not govern the motion of individual particles but the evolution of the distances between particles. Its formulation gives a satisfactory answer ...

#### Self-induced decoherence and the **classical** limit of quantum **mechanics**

(University of Chicago Press, 2005-12)

In this paper we argue that the emergence of the classical world from the underlying quantum reality involves two elements: self‐induced decoherence and macroscopicity. Self‐induced decoherence does not require the openness ...

#### The problem of the **classical** limit of quantum **mechanics** and the role of self-induced decoherence

(Springer, 2006-12)

Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system ...

#### Conflict between the **classical** equivalence principle and quantum **mechanics**

(2009-05-11)

As far as external gravitational fields described by Newton's theory are concerned, theory shows that there is an unavoidable conflict between the universality of free fall (Galileo's equivalence principle) and quantum ...

#### Supersymmetric quantum **mechanics** and the equivalent **classical** transformation

(1997-04-30)

In the usual supersymmetric quantum mechanics, the supercharges change the eigenfunction from the bosonic to fermionic sector and conversely. The classical correspondent of this transformation is shown to be the addition ...

#### Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop

(2018-02-01)

The existence of Lie symmetries in differential equations can generate transformations in the dependent and independent variables and obtain new equations that may be easier to integrate. In particular, in some situations, ...

#### Multiple **classical** limits in relativistic and nonrelativistic quantum **mechanics**

(AMER INST PHYSICS, 2009)

The existence of a classical limit describing the interacting particles in a second-quantized theory of identical particles with bosonic symmetry is proved. This limit exists in addition to the previously established ...

#### Probabilities for time-dependent properties in **classical** and quantum **mechanics**

(American Physical Society, 2013-05)

We present a formalism which allows one to define probabilities for expressions that involve properties at different times for classical and quantum systems and we study its lattice structure. The formalism is based on the ...

#### Relational **mechanics** as a gauge theory

(Springer/plenum Publishers, 2016-02)

Absolute space is eliminated from the body of mechanics by gauging translations and rotations in the Lagrangian of a classical system. The procedure implies the addition of compensating terms to the kinetic energy, in such ...