Common recipe for the Lengthening Pendulum (LP) involves some change of variables to give a relationship with the Bessel’s equation. In this work, semiclassical MAF (Modified Airy Function) solution of the LP is being obtained by first transforming the ...
Coşkun Deniz
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Erratum: Connection between entanglement and the speed of quantum evolution [PDF]
PACS number s : 03.67.Mn, 89.70. c, 03.65. w, 02.50. r, 99.10.CdErratum: Connection between entanglement and the speed of quantum evolution [Phys. Rev.
Batle, Josep +3 more
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Cole-Hopf Like Transformation for Schr\"odinger Equations Containing Complex Nonlinearities [PDF]
We consider systems, which conserve the particle number and are described by Schr\"odinger equations containing complex nonlinearities. In the case of canonical systems, we study their main symmetries and conservation laws.
A M Scarfone +22 more
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Nonlinear gauge transformation for a class of Schroedinger equations containing complex nonlinearities [PDF]
We consider a wide class of nonlinear canonical quantum systems described by a one-particle Schroedinger equation containing a complex nonlinearity. We introduce a nonlinear unitary transformation which permits us to linearize the continuity equation. In
A.M. Scarfone +9 more
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On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space [PDF]
We study two-dimensional Hamiltonians in phase space with noncommutativity both in coordinates and momenta. We consider the generator of rotations on the noncommutative plane and the Lie algebra generated by Hermitian rotationally invariant quadratic ...
Cárcamo, D. +5 more
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Harmonic and Dirac oscillators in a (2+1)-dimensional noncommutative space [PDF]
We study the Harmonic and Dirac Oscillator problem extended to a three-dimensional noncom- mutative space where the noncommutativity is induced by a shift of the dynamical variables with generators of SL(2;R) in a unitary irreducible representation.
Vega, F.
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Understanding quantum mechanics: a review and synthesis in precise language
This review, of the understanding of quantum mechanics, is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject.
Drummond Brian
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Hierarchical theory of quantum adiabatic evolution
Quantum adiabatic evolution is a dynamical evolution of a quantum system under slow external driving. According to the quantum adiabatic theorem, no transitions occur between nondegenerate instantaneous energy eigenstates in such a dynamical evolution ...
Qi Zhang, Jiangbin Gong, Biao Wu
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Noncommutative Coulombic Monopole
We have constructed the appropriate Hamiltonian of the noncommutative coulombic monopole (i.e. the noncommutative hydrogen atom with a monopole). The energy levels of this system have been calculated, discussed and compared with the noncommutative ...
Armen Yeranyan +4 more
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Baryon asymmetry at the weak phase transition in presence of arbitrary CP violation [PDF]
We consider interactions of fermions with the domain wall bubbles produced during a first order phase transition. A new exact solution of the Dirac equations is obtained for a wall profile incorporating a position dependent CP violating phase.
Torrente-Lujan, Emilio
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