1,040 research outputs found
How to prepare quantum states that follow classical paths
We present an alternative quantization procedure for the one-dimensional
non-relativistic quantum mechanics. We show that, for the case of a free
particle and a particle in a box, the complete classical and quantum
correspondence can be obtained using this formulation. The resulting wave
packets do not disperse and strongly peak on the classical paths. Moreover, for
the case of the free particle, they satisfy minimum uncertainty relation.Comment: 10 pages, 3 figures, to appear in Europhysics Letter
On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
Different candidates of Quantum Gravity such as String Theory, Doubly Special
Relativity, Loop Quantum Gravity and black hole physics all predict the
existence of a minimum observable length or a maximum observable momentum which
modifies the Heisenberg uncertainty principle. This modified version is usually
called the Generalized (Gravitational) Uncertainty Principle (GUP) and changes
all Hamiltonians in quantum mechanics. In this Letter, we use a recently
proposed GUP which is consistent with String Theory, Doubly Special Relativity
and black hole physics and predicts both a minimum measurable length and a
maximum measurable momentum. This form of GUP results in two additional terms
in any quantum mechanical Hamiltonian, proportional to and
, respectively, where is the GUP
parameter. By considering both terms as perturbations, we study two quantum
mechanical systems in the framework of the proposed GUP: a particle in a box
and a simple harmonic oscillator. We demonstrate that, for the general
polynomial potentials, the corrections to the highly excited eigenenergies are
proportional to their square values. We show that this result is exact for the
case of a particle in a box.Comment: 11 pages, to appear in Europhysics Letter
One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
We present exact energy eigenvalues and eigenfunctions of the one-dimensional
hydrogen atom in the framework of the Generalized (Gravitational) Uncertainty
Principle (GUP). This form of GUP is consistent with various theories of
quantum gravity such as string theory, loop quantum gravity, black-hole
physics, and doubly special relativity and implies a minimal length uncertainty
and a maximal momentum. We show that the quantized energy spectrum exactly
agrees with the semiclassical results.Comment: 10 pages, 1 figur
Generalized Uncertainty Principle and the Ramsauer-Townsend Effect
The scattering cross section of electrons in noble gas atoms exhibits a
minimum value at electron energies of approximately 1eV. This is the
Ramsauer-Townsend effect. In this letter, we study the Ramsauer-Townsend effect
in the framework of the Generalized Uncertainty Principle.Comment: 11 pages, 3 figure
Juxtaposition of Women, Culture, and Nature in Alice Walker's Possessing the Secret of Joy
The present paper focuses on the tradition of women's circumsicion in the African tribe of Olinkan in Alice Walker's Possesing the Secret of Joy. The Olinkans are asked by the white settlers to stop women's mutilation, but Olinkan men continue this custom stealthily to ensure their patriarchial dominance. This novel is a complicated juxtaposition of two different types of oppression: one by White male colonizers over an African native land, and the other one by the native Olinkan men over native women. In this juxtaposition women and land are both victims exploited and manipulated by men, no matter Black or White. This novel is also seen as a fertile ground to analyze the dual domination of both nature and women by the Olinkan men and White colonizers who are both trying to impose their androcentric rules that are created to dominate women and land, respectively
Quantum Stephani exact cosmological solutions and the selection of time variable
We study perfect fluid Stephani quantum cosmological model. In the present
work the Schutz's variational formalism which recovers the notion of time is
applied. This gives rise to Wheeler-DeWitt equation for the scale factor. We
use the eigenfunctions in order to construct wave packets for each case. We
study the time-dependent behavior of the expectation value of the scale factor,
using many-worlds and deBroglie-Bohm interpretations of quantum mechanics.Comment: 19 pages, 7 figure
Modification of Coulomb's law in closed spaces
We obtain a modified version of Coulomb's law in two- and three-dimensional
closed spaces. We demonstrate that in a closed space the total electric charge
must be zero. We also discuss the relation between total charge neutrality of a
isotropic and homogenous universe to whether or not its spatial sector is
closed.Comment: 11 pages, 3 figure
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