Statistical Properties of Klauder–perelomov Coherent States for the Morse Potential

Daoud, Mohammed; Popov, Dušan

doi:10.1142/s0217979204023817

Cited by 18 publications

(29 citation statements)

References 26 publications

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“…We observe that the previous results for the case of added photons have the same aspect as those for the ordinary Klauder-Perelomov CSs for the MO [27], the difference due to the added photons being included in the expression of the partition function Z V,N and so on. But, this will be the subject of a forthcomming paper.…”

Section: Thermal Expectation Valuessupporting

confidence: 62%

“…Due to the fact that the Morse potential has a finite number of the bounded states, we cannot construct the Klauder-Perelomov or Gazeau-Klauder coherent states in stricto senso for this potential because the positivity of the measure is not everywhere positive [26,27].…”

Section: Discussionmentioning

confidence: 99%

“…Recently, the Gazeau-Klauder coherent states for the Morse potential and the Barut-Girardello coherent states for this potential based on the Lie algebra U (1, 1) have been carried out [24,25]. Statistical properties of the Gazeau-Klauder quasi-coherent states, or the Klauder-Perelomov coherent states for the Morse potential were the subject matter of two recent works [26,27].…”

Section: Introductionmentioning

confidence: 99%

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Photon-added coherent states for the Morse oscillator

2006

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In the paper we have constructed and investigated some properties of the Perelomov's "generalized coherent states" and photon-added coherent states for the Morse onedimensional Hamiltonian (MO-PACSs), using the SU(2) group generators. We have found the integration measure in the resolution of unity and we have calculated some expectation values in the MO-PACSs representation. Using these states, the diagonal P-representation of the density operator is constructed as a new result for Morse potential. In addition, we have calculated some thermal expectation values for the quantum canonical diatomic gas of the Morse oscillators.PACS : 03.65. Ca, 31.15.Hz,

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Section: Thermal Expectation Valuessupporting

confidence: 62%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Photon-added coherent states for the Morse oscillator

2006

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“…Although our future calculations do not need the explicit form of the ladder operators, we give them for completeness [19,21,28,29]. For example, we obtain [21] …”

Section: Ladder Operatorsmentioning

confidence: 99%

Squeezed coherent states and the one-dimensional Morse quantum system

Angelova¹,

Hertz²,

Hussin³

2012

J. Phys. A: Math. Theor.

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The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to the one of the harmonic oscillator using ladder operators. The properties of these states are analysed with respect to the localization in position, minimal Heisenberg uncertainty relation, the statistical properties and illustrated with examples using the finite number of states in a well-known diatomic molecule.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Coherent states: mathematical and physical aspects'.

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“…Circumvalaţiunii No. [8][9][10][11][12]300012 Timişoara, Romania points of view which evinced some facts that we are not able to realize: (a) we cannot perform a quantum measurement without perturbing the state of the measured system; (b) we cannot determine the particle position and momentum simultaneously and with any precision; (c) we cannot perform a simultaneously measurement of polarization of the photon in a vertical and diagonal basis; (d) we cannot represent the image (or "photography") of individual quantum processes; (e) we cannot be able to reproduce an unknown quantum state.…”

Section: Introductionmentioning

confidence: 99%

Quantum Information in the Frame of Coherent States Representation

et al. 2007

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In this paper we have showed that the qubit can be expressed through the coherent states. Consequently, a message, i.e. a sequence of qubits, is expressed as a tensor product of coherent states. In the quantum information theory and practice, only the code and key message are expressed as a sequence of qubits, i.e. through a quantum channel, the properly information will be transmitted by using a classical channel. Even if the most used coherent states in the quantum information theory are the coherent states of the harmonic oscillator (particularly, expressing by them the Schrödinger "cat states" and the Bell states), several authors have been demonstrated that other kind of coherent states may be used in quantum information theory. For the ensembles of qubits, we must use the density operator, in order to describe the informational content of the ensemble. The diagonal representation of the density operator, in the coherent state representation, is also useful to examine the entanglement of the states.

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Statistical Properties of Klauder–perelomov Coherent States for the Morse Potential

Cited by 18 publications

References 26 publications

Photon-added coherent states for the Morse oscillator

Photon-added coherent states for the Morse oscillator

Squeezed coherent states and the one-dimensional Morse quantum system

Quantum Information in the Frame of Coherent States Representation

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