Conference booklet - XXXV Workshop on Geometric Methods in
... AKSZ sigma models were originally proposed to describe topological systems. In fact, an AKSZ model with finite number of fields and space-time dimension higher than 1 is necessarily topological. These models are quite distinguished in the sense that the geometry of the target space manifold encodes no ...
... AKSZ sigma models were originally proposed to describe topological systems. In fact, an AKSZ model with finite number of fields and space-time dimension higher than 1 is necessarily topological. These models are quite distinguished in the sense that the geometry of the target space manifold encodes no ...
Qualitative individuation in permutation
... operates is much harder to achieve than non-separability: that is, non-separability does not entail entanglement. I said that entanglement is almost exclusively defined as non-separability. In fact there are dissenters, chiefly Ghirardi, Marinatto & Weber (2002) (see also Ghirardi & Marinatto (2003, ...
... operates is much harder to achieve than non-separability: that is, non-separability does not entail entanglement. I said that entanglement is almost exclusively defined as non-separability. In fact there are dissenters, chiefly Ghirardi, Marinatto & Weber (2002) (see also Ghirardi & Marinatto (2003, ...
Angular momentum operator
... These turn out to be the spherical harmonics, Y�m (θ, φ). In particular, the eigenvalue equation for L̂2 is L̂2 Y�m (θ, φ) = �(� + 1)�2 Y�m (θ, φ) , ...
... These turn out to be the spherical harmonics, Y�m (θ, φ). In particular, the eigenvalue equation for L̂2 is L̂2 Y�m (θ, φ) = �(� + 1)�2 Y�m (θ, φ) , ...
Non-Hermitian Hamiltonians of Lie algebraic type
... • Calculated conditions and appropriate metrics with respect to which a large class of non Hermitian Hamiltonians bilinear in su(1,1) generators can be considered Hermitian. • The same non Hermitian Hamiltonians could be diagonalized and it was shown, whithout metrics, that although being non Hermit ...
... • Calculated conditions and appropriate metrics with respect to which a large class of non Hermitian Hamiltonians bilinear in su(1,1) generators can be considered Hermitian. • The same non Hermitian Hamiltonians could be diagonalized and it was shown, whithout metrics, that although being non Hermit ...
Complex Obtuse Random Walks and their Continuous
... Let us have here a more detailed discussion on these physical motivations underlying our study. These motivations do not appear anymore in the rest of the article which is devoted entirely to the probabilistic properties of complex obtuse random walks and their continuous-time limits, but we have fe ...
... Let us have here a more detailed discussion on these physical motivations underlying our study. These motivations do not appear anymore in the rest of the article which is devoted entirely to the probabilistic properties of complex obtuse random walks and their continuous-time limits, but we have fe ...
COHERENT STATES FOR CONTINUOUS SPECTRUM AS
... spectrum are labeled also by a complex variable Z , but we have used this different notation just to avoid the confusion with discrete case. We use the notation X c = X c (E ) for the quantities regarding to the continuous spectrum, respectively X d = X d ( n , nmax ) for those regarding to the disc ...
... spectrum are labeled also by a complex variable Z , but we have used this different notation just to avoid the confusion with discrete case. We use the notation X c = X c (E ) for the quantities regarding to the continuous spectrum, respectively X d = X d ( n , nmax ) for those regarding to the disc ...
Nonperturbative quantum geometries
... A nontrivial physical Hilbert space can exist only in the case that the algebra of the quantum mechanical constraints closes. (iv) An inner product (~k[q~) defined on the physical Hilbert space, 5:Phy~. It is important to stress that one need not have any inner product on the larger representation s ...
... A nontrivial physical Hilbert space can exist only in the case that the algebra of the quantum mechanical constraints closes. (iv) An inner product (~k[q~) defined on the physical Hilbert space, 5:Phy~. It is important to stress that one need not have any inner product on the larger representation s ...
Complete Analytical Solutions of the Mie
... -type potential was obtained in [34]. Moreover, the Schrödinger equation for a system bound by a Mie-type potential was also solved by using the 1/N expansion method [33]. In this paper, we give a complete normalized polynomial solution for the general N -dimensional Schrödinger equation for diatomi ...
... -type potential was obtained in [34]. Moreover, the Schrödinger equation for a system bound by a Mie-type potential was also solved by using the 1/N expansion method [33]. In this paper, we give a complete normalized polynomial solution for the general N -dimensional Schrödinger equation for diatomi ...
an introduction to quantum mechanics - TU Dortmund
... There are observables that can be simultaneously measurable and other that can not, it depends on their dependence on momentum and position. Let two observables A and B be simultaneously measurable. Then if measuring the A and B we find the values ai and ßj respectively, the state of the system is ...
... There are observables that can be simultaneously measurable and other that can not, it depends on their dependence on momentum and position. Let two observables A and B be simultaneously measurable. Then if measuring the A and B we find the values ai and ßj respectively, the state of the system is ...
ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER
... open quantum systems using the density operator formalism [20, 46, 58, 59, 70]. However, it is difficult to derive rigorous bounds with this approach because the dynamics involve a non-Hermitian operator without a complete set of orthonormal eigenstates. Some progress has been made for the AQC equiv ...
... open quantum systems using the density operator formalism [20, 46, 58, 59, 70]. However, it is difficult to derive rigorous bounds with this approach because the dynamics involve a non-Hermitian operator without a complete set of orthonormal eigenstates. Some progress has been made for the AQC equiv ...
Localized - Current research interest: photon position
... (2) Helicity and total AM can have definite values, but spin cannot. Their nonintegrable AM leads to the Berry phase observed in helically wound fibers. (3) Incoming and outgoing waves are equally likely. Localization is due to destructive interference of ...
... (2) Helicity and total AM can have definite values, but spin cannot. Their nonintegrable AM leads to the Berry phase observed in helically wound fibers. (3) Incoming and outgoing waves are equally likely. Localization is due to destructive interference of ...
Extending coherent state transforms to Clifford analysis
... holomorphic functions to Clifford algebra valued functions, satisfying properties generalizing the Cauchy–Riemann conditions. On the other hand, in quantum physics, Clifford algebra or spinor representation valued functions describe some systems with internal degrees of freedom, such as particles wi ...
... holomorphic functions to Clifford algebra valued functions, satisfying properties generalizing the Cauchy–Riemann conditions. On the other hand, in quantum physics, Clifford algebra or spinor representation valued functions describe some systems with internal degrees of freedom, such as particles wi ...