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HEISENBERG UNCERTAINTY PRINCIPLE [3 records]

Record 1 2001-04-18

English

Subject field(s)
  • Atomic Physics
  • Physics
CONT

Heisenberg Uncertainty Principle. An odd aspect of Quantum Mechanics is contained in the Heisenberg Uncertainty Principle(HUP). The HUP can be stated in different ways, let me first talk in terms of momentum and position. If there is a particle, such as an electron, moving through space, I can characterize its motion by telling you where it is(its position) and what its velocity is(more precisely, its momentum). Now, let me say something strange about what happens when I try to measure its positions and momentum. In the Quantum Mechanical world, the idea that we can measure things exactly breaks down. Let me state this notion more precisely. Suppose a particle has momentum p and a position x. In a Quantum Mechanical world, I would not be able to measure p and x precisely. There is an uncertainty associated with each measurement, e. g. there is some dp and dx, which I can never get rid of even in a perfect experiment!!!. This is due to the fact that whenever I make a measurement, I must disturb the system.(In order for me to know something is there, I must bump into it.) The size of the uncertainties are not independent, they are related...

French

Domaine(s)
  • Physique atomique
  • Physique
CONT

Commençons par le principe d'incertitude d'Eisenberg : Il affirme qu'on ne peut pas connaître avec précision à la fois la position et la vitesse d'une particule. [...] Si l'on ne peut pas connaître sa position et sa vitesse, c'est parce que qu'une particule quantique n'étant pas ponctuelle, n'a pas à la fois une position et une vitesse définies (c'est un autre univers). Les objets quantiques admettent tout un spectre de valeurs pour la position et la vitesse. Cette limite ne porte pas sur la précision des mesures; elle porte sur la validité des concepts classiques pour une particule quantique.

Spanish

Campo(s) temático(s)
  • Física atómica
  • Física
CONT

Estipula el principio de indeterminación de Heisenberg que, cuanto más corta sea la duración de un estado, más incierta será su energía.

Save record 1

Record 2 1994-11-14

English

Subject field(s)
  • Physics
  • Mathematics
DEF

The relation whereby, if one simultaneously measures values of two canonically conjugate variables, such as position and momentum, the product of the uncertainties of their measured values cannot be less than approximately Planck’s constant divided by 2[pi].

OBS

The author [Nottale] proposes an extension of the principle of relativity upon which the setting of a spatio-temporal theory of microphysics could be founded. He shows that some of the main properties of the quantum world, I. E the Heisenberg uncertainty relations, may be deduced from the geometric structures of a new space-time whose metrics would depend on spatio-temporal resolutions.

French

Domaine(s)
  • Physique
  • Mathématiques
CONT

En physique, les relations d'incertitude de Heisenberg imposent une limite à ce qui peut être mesuré (...)

Spanish

Save record 2

Record 3 1989-08-08

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

Nottale proposes an extension of the principle of relativity upon which the setting of a spatio-temporal theory of microphysics could be founded. He shows that some of the main properties of the quantum world, i. e. the Heisenberg uncertainty relations, may be deduced from the geometric structures of a new space-time whose metrics would depend on spatio-temporal resolutions. The theory may be worked out due to the introduction of a new mathematical tool, the fractal derivative, which allows one to connect the concepts of presence probability and metric potentials.

French

Domaine(s)
  • Mathématiques
  • Infographie
OBS

Tiré du résumé de l'article de Nottale L., sur le temps de la microphysique, publié dans les Comptes rendus de l'Académie des sciences, Série 2, 1988, vol. 306, no. 5, p. 341-346.

Spanish

Save record 3

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