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1
Content available remote

Minimum Uncertainty States Using n-Dependent Annihilation Operator

100%
Ullah N.
Acta Physica Polonica A
|
1995
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vol. 87
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issue 3
571-574
EN
We develop a formalism to obtain minimum uncertainty states using n-dependent annihilation operator. The formalism is applied to a three-di­mensional harmonic oscillator and also to the one containing centrifugal barrier term. Our formalism shows that in both the cases the minimum uncertainty state can be written down as a product of the ground state and a simple function.
2
Content available remote

Generalised Equilibrium Reduced-Density Operator

63%
Jacyna-Onyszkiewicz Z.
Acta Physica Polonica A
|
2018
|
vol. 133
|
issue 5
1231-1240
EN
Equilibrium reduced-density operators for subsystems of the universe are derived from the generalised Schrödinger variational principle, additionally assuming that the values of von Neumann entropy for the subsystems are fixed and higher than zero. The obtained reduced-density operator may be useful for description of the properties of an arbitrary system (macroscopic, mesoscopic, nanoscopic, or microscopic) in the equilibrium mixed state.
3
Content available remote

Universal Propagator for Group-Related Coherent States

63%
Klauder J., Tomé W.
Acta Physica Polonica A
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1994
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vol. 85
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issue 4
655-666
EN
In earlier work universal propagators were introduced for the Heisenberg -Weyl group, the affine group, and the rotation group. By generalizing these constructions we show here that it is possible to introduce a universal propagator for a rather general unitary Lie group. In the context of coherent-state representations, the universal propagator is a single function independent of any particular choice of fiducial vector, which nonetheless, propagates all coherent state Hilbert space representatives correctly.
4
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Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential

51%
Hassanabadi H., Ikot A., Zarrinkamar S.
Acta Physica Polonica A
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2014
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vol. 126
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issue 3
647-652
EN
Analytical solution of the Klein-Gordon equation under the equal scalar and vector Pöschl-Teller double-ring-shaped Coulomb potentials is obtained. We have used the Nikiforov-Uvarov method in our calculations. The radial wave function in terms of the Laguerre polynomials is presented and the angular wave functions are expressed in terms of the Jacobi polynomials. We have also considered some special cases of the Pöschl-Teller double-ring-shaped Coulomb potential and represented the energy eigenvalues and the corresponding wave functions.
5
Content available remote

Solution of Spinless Salpeter Equation with Generalized Hulthén Potential Using SUSYQM

51%
Ikot A., Isonguyo C., Chad-Umoren Y., Hassanabadi H.
Acta Physica Polonica A
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2015
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vol. 127
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issue 3
674-677
EN
The solution of spinless Salpeter equation with generalized Hulthén potential using SUSYQM formalism is presented. We obtained approximately the energy eigenvalues and the corresponding wave function in a closed form for any arbitrary l state. We have also reported on the numerical result of our work.
6
Content available remote

Closed Relation Between Single-Particle Kinetic Energy and Electron Density in One-Dimensional Two-Level Systems

51%
Kozłowski P., March N.
Acta Physica Polonica A
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1992
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vol. 82
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issue 3
421-424
EN
For a two-level problem in one dimension, an implicit relation is derived relating the kinetic energy density t_{s}(x) to the electron density ρ(x) plus its first and second derivatives. As an example, the harmonic oscillator potential is used to make this relation explicit.
7
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Content available

On Mixed States Entanglement and Quantum Communication: Aspects of Quantum Channels Theory

51%
Horodecki P.
Acta Physica Polonica A
|
2002
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vol. 101
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issue 3
399-424
EN
Basic aspects of quantum communication based on quantum channels theory are reviewed together with suitable examples. The key notion of quantum channel capacity is discussed. The role of mixed states entanglement as a practical tool in quantum channels theory is explained in detail. Application of recent results on non-positive partial transpose bound entanglement conjecture to binding entanglement channels shows that validity of the conjecture for some states implies nonadditivity of two-way quantum channel capacity. Some aspects of robustness of entanglement in context of positive maps theory are also discussed.
8
Content available remote

A Pointer Theory Explanation of Weak Value Persistence Occurring in the Quantum Three Box Experimental Data

51%
Parks A. D., Spence S.
Acta Physica Polonica A
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2016
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vol. 130
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issue 6
1265-1268
EN
A concise exact pointer theory for von Neumann projector measurements of pre- and post-selected quantum systems has previously been used to formalize the notion of weak value persistence and apply it to explain pointer position data collected from a dynamical quantum non-locality detection experiment. This paper applies this exact pointer theory to provide an operational explanation of weak value persistence observed in the data obtained from a recent quantum box experiment.
9
Content available remote

On entanglement distillation and quantum error correction for unknown states and channels

38%
Horodecki P.
Open Physics
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2003
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vol. 1
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issue 4
695-707
EN
We consider the problem of invariance of distillable entanglement D and quantum capacities Q under erasure of information about single copy of quantum state or channel respectively. We argue that any 2 ⊗N two-way distillable state is still two-way distillable after erasure of single copy information. For some known distillation protocols the obtained two-way distillation rate is the same as if Alice and Bob knew the state from the very beginning. The isomorphism between quantum states and quantum channels is also investigated. In particular it is pointed out that any transmission rate down the channel is equal to distillation rate with formal LOCC-like superoperator that uses in general nonphysical Alice actions. This allows to we prove that if given channel Λ has nonzero capacity (Q → or Q ⟺) then the corresponding quantum state ϱ(Λ) has nonzero distillable entanglement (D → or D ⟺). Follwoing the latter arguments are provided that any channel mapping single qubit into N level system allows for reliable two-way transmission after erasure of information about single copy. Some open problems are discussed.
10
Content available remote

Wave mechanics of two hard core quantum particles in A 1-D box

32%
Jain Y.
Open Physics
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2004
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vol. 2
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issue 4
709-719
EN
The wave mechanics of two impenetrable hard core particles in a 1-D box is analyzed. Each particle in the box behaves like an independent entity represented by a macro-orbital (a kind of pair waveform). While the expectation value of their interaction, 〈 V HC(x) 〉, vanishes for every state of two particles, the expectation value of their relative separation, 〈 x 〉, satisfies 〈 x 〉≥λ/2 (or q ≥ π/d, with 2d=L being the size of the box). The particles in their ground state define a close-packed arrangement of their wave packets (with 〈 x 〉= λ/2, phase position separation Δϕ = 2π and momentum |q o| = π/d) and experience a mutual repulsive force (zero point repulsion) f o=h 2/2md 3 which also tries to expand the box. While the relative dynamics of two particles in their excited states represents usual collisional motion, the same in their ground state becomes collisionless. These results have great significance in determining a correct microscopic understanding of widely different many-body systems.
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