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In quantum mechanics, a quantum carpetis a regular art-like pattern drawn by the wave function evolution or the probability density in the space of the Cartesian product of the quantum particle position coordinate and time or in spacetime resembling carpet art. It is the result of self-interference of the wave function during its interaction with reflecting boundaries. For example, in the infinite potential well, after the spread of the initially localized Gaussian wave packet in the center of the well, various pieces of the wave function start to overlap and interfere with each other after reflection from the boundaries. The geometry of a quantum carpet is mainly determined by the quantum fractional revivals.

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  • In quantum mechanics, a quantum carpetis a regular art-like pattern drawn by the wave function evolution or the probability density in the space of the Cartesian product of the quantum particle position coordinate and time or in spacetime resembling carpet art. It is the result of self-interference of the wave function during its interaction with reflecting boundaries. For example, in the infinite potential well, after the spread of the initially localized Gaussian wave packet in the center of the well, various pieces of the wave function start to overlap and interfere with each other after reflection from the boundaries. The geometry of a quantum carpet is mainly determined by the quantum fractional revivals. Quantum carpets demonstrate many principles of quantum mechanics, including wave-particle duality, quantum revivals, and decoherence. Thus, they illustrate certain aspects of theoretical physics. In 1995, Michael Berry created the first quantum carpet, which described the momentum of an excited atom. Today, physicists use quantum carpets to demonstrate complex theoretical principles. (en)
  • W mechanice kwantowej dywan kwantowy (ang. Quantum carpet) to regularny paraartystyczny wzór rysowany przez ewolucje funkcji falowej lub gęstość prawdopodobieństwa w przestrzeni iloczynu kartezjańskiego położenia cząstki kwantowej i czasu lub w czasoprzestrzeni przypominający wzór artystyczny na zwykłym dywanie. Jest wynikiem interferencji funkcji falowej samej ze sobą podczas jej oddziaływania z odbijającymi warunkami brzegowymi. Np. w nieskończonej studni potencjału po rozpływaniu się początkowo dobrze zlokalizowanej gausowskiej funkcji falowej w środku studni poszczególne części funkcji falowej zaczynają się przekrywać i wzajemnie zaburzać po odbiciu lub oddziaływaniu z brzegami. Geometria dywanu kwantowego jest wyznaczona przez ułamkowe ożywienia funkcji falowej, których zmiana rzędu w czasie prowadzi do regularnych wzorów i liniowych wygaszeń. (pl)
  • Na mecânica quântica, um tapete quântico ou tapete de luz é um padrão de arte regular, desenhado pela evolução da função de onda ou pela densidade de probabilidade no espaço do produto cartesiano da coordenada da posição da partícula quântica e no tempo ou no espaço-tempo semelhante à arte do tapete. É o resultado da auto-interferência da função de onda durante sua interação com os limites refletidos. Por exemplo, no poço de potencial infinito, após a propagação do pacote de ondas Gaussiano inicialmente localizado no centro do poço, várias partes da função de onda começam a se sobrepor e interferir umas com as outras após a reflexão dos limites. A geometria de um tapete quântico é determinada principalmente pelos . Os tapetes quânticos aparecem em muitos campos da física de ondas, desde a mecânica quântica, com aplicações em física nuclear e condensação de Bose-Einstein, a ondas eletromagnéticas e, em particular, guias de ondas. (pt)
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  • In quantum mechanics, a quantum carpetis a regular art-like pattern drawn by the wave function evolution or the probability density in the space of the Cartesian product of the quantum particle position coordinate and time or in spacetime resembling carpet art. It is the result of self-interference of the wave function during its interaction with reflecting boundaries. For example, in the infinite potential well, after the spread of the initially localized Gaussian wave packet in the center of the well, various pieces of the wave function start to overlap and interfere with each other after reflection from the boundaries. The geometry of a quantum carpet is mainly determined by the quantum fractional revivals. (en)
  • W mechanice kwantowej dywan kwantowy (ang. Quantum carpet) to regularny paraartystyczny wzór rysowany przez ewolucje funkcji falowej lub gęstość prawdopodobieństwa w przestrzeni iloczynu kartezjańskiego położenia cząstki kwantowej i czasu lub w czasoprzestrzeni przypominający wzór artystyczny na zwykłym dywanie. Jest wynikiem interferencji funkcji falowej samej ze sobą podczas jej oddziaływania z odbijającymi warunkami brzegowymi. Np. w nieskończonej studni potencjału po rozpływaniu się początkowo dobrze zlokalizowanej gausowskiej funkcji falowej w środku studni poszczególne części funkcji falowej zaczynają się przekrywać i wzajemnie zaburzać po odbiciu lub oddziaływaniu z brzegami. Geometria dywanu kwantowego jest wyznaczona przez ułamkowe ożywienia funkcji falowej, których zmiana rzędu w (pl)
  • Na mecânica quântica, um tapete quântico ou tapete de luz é um padrão de arte regular, desenhado pela evolução da função de onda ou pela densidade de probabilidade no espaço do produto cartesiano da coordenada da posição da partícula quântica e no tempo ou no espaço-tempo semelhante à arte do tapete. É o resultado da auto-interferência da função de onda durante sua interação com os limites refletidos. Por exemplo, no poço de potencial infinito, após a propagação do pacote de ondas Gaussiano inicialmente localizado no centro do poço, várias partes da função de onda começam a se sobrepor e interferir umas com as outras após a reflexão dos limites. A geometria de um tapete quântico é determinada principalmente pelos . (pt)
rdfs:label
  • Quantum carpet (en)
  • Dywan kwantowy (pl)
  • Tapete quântico (pt)
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