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A system of N non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical commutation relations (CCRs). Instead they obey the weaker postulates for the oscillator to be a Wigner quantum system. In particular the PM-operators fulfil the main postulate, which is due to Wigner: they satisfy the equations of motion (the Hamiltonian's equations) and the Heisenberg equations. One of the relevant features is that the coordinate (the momentum) operators do not commute, but instead their squares do commute. As a result the space structure of the basis states corresponds to pictures when each oscillating particle is measured to occupy with equal probability only finite number of points, typically the eight vertices of a parallelepiped. The state spaces are finite-dimensional, the spectrum of the energy is finite with equally spaced energy levels. An essentially new feature is that the angular momenta of all particles are aligned. Therefore there exists a strong interaction or correlation between the particles, which is not of dynamical, but of statistical origin.
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Wigner Oscillators with Non-commutative Square Commutative Geometry
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LAP LAMBERT Academic Publishing Mai 2018, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A system of N non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical commutation relations (CCRs). Instead they obey the weaker postulates for the oscillator to be a Wigner quantum system. In particular the PM-operators fulfil the main postulate, which is due to Wigner: they satisfy the equations of motion (the Hamiltonian's equations) and the Heisenberg equations. One of the relevant features is that the coordinate (the momentum) operators do not commute, but instead their squares do commute. As a result the space structure of the basis states corresponds to pictures when each oscillating particle is measured to occupy with equal probability only finite number of points, typically the eight vertices of a parallelepiped. The state spaces are finite-dimensional, the spectrum of the energy is finite with equally spaced energy levels. An essentially new feature is that the angular momenta of all particles are aligned. Therefore there exists a strong interaction or correlation between the particles, which is not of dynamical, but of statistical origin. 88 pp. Englisch. Seller Inventory # 9786139837113
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Wigner Oscillators with Non-commutative Square Commutative Geometry
Published by
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - A system of N non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical commutation relations (CCRs). Instead they obey the weaker postulates for the oscillator to be a Wigner quantum system. In particular the PM-operators fulfil the main postulate, which is due to Wigner: they satisfy the equations of motion (the Hamiltonian's equations) and the Heisenberg equations. One of the relevant features is that the coordinate (the momentum) operators do not commute, but instead their squares do commute. As a result the space structure of the basis states corresponds to pictures when each oscillating particle is measured to occupy with equal probability only finite number of points, typically the eight vertices of a parallelepiped. The state spaces are finite-dimensional, the spectrum of the energy is finite with equally spaced energy levels. An essentially new feature is that the angular momenta of all particles are aligned. Therefore there exists a strong interaction or correlation between the particles, which is not of dynamical, but of statistical origin. Seller Inventory # 9786139837113
Quantity: 1 available
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Wigner Oscillators with Non-commutative Square Commutative Geometry
Published by
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Palev TchavdarThe author graduated from Moscow State University in the field of Theoretical Physics in 1962. Since then he is studying the algebraic properties of quantum statistics. In particular he proved that to each class A, B, C. Seller Inventory # 385873535
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Wigner Oscillators with Non-commutative Square Commutative Geometry
Published by
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Wigner Oscillators with Non-commutative Square Commutative Geometry
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LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Wigner Oscillators with Non-commutative Square Commutative Geometry
Published by
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Wigner Oscillators with Non-commutative Square Commutative Geometry
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LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
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Paperback. Condition: Brand New. 88 pages. 8.66x5.91x0.20 inches. In Stock. Seller Inventory # zk6139837111
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Wigner Oscillators with Non-commutative Square Commutative Geometry
Published by
LAP LAMBERT Academic Publishing Mai 2018, 2018
ISBN 10: 6139837111
ISBN 13: 9786139837113
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. Neuware -A system of N non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical commutation relations (CCRs). Instead they obey the weaker postulates for the oscillator to be a Wigner quantum system. In particular the PM-operators fulfil the main postulate, which is due to Wigner: they satisfy the equations of motion (the Hamiltonian's equations) and the Heisenberg equations. One of the relevant features is that the coordinate (the momentum) operators do not commute, but instead their squares do commute. As a result the space structure of the basis states corresponds to pictures when each oscillating particle is measured to occupy with equal probability only finite number of points, typically the eight vertices of a parallelepiped. The state spaces are finite-dimensional, the spectrum of the energy is finite with equally spaced energy levels. An essentially new feature is that the angular momenta of all particles are aligned. Therefore there exists a strong interaction or correlation between the particles, which is not of dynamical, but of statistical origin.Books on Demand GmbH, Überseering 33, 22297 Hamburg 88 pp. Englisch. Seller Inventory # 9786139837113
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