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harmonic oscillator
, 2010
"... In standard courses of Quantum Mechanics the harmonic oscillator is frequently resolved through of different techniques. In this paper, we introduce another didactic method to obtain its energy spectrum and wave functions by using directly the Hermite polynomials. To do this we only use arguments of ..."
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In standard courses of Quantum Mechanics the harmonic oscillator is frequently resolved through of different techniques. In this paper, we introduce another didactic method to obtain its energy spectrum and wave functions by using directly the Hermite polynomials. To do this we only use arguments
harmonic oscillator †
, 1993
"... Using Green ′ s function and operator techniques we give a closed expression for the response of a nonrelativistic system interacting through confining, harmonic forces. The expression for the incoherent part permits rapid evaluation of coefficients in a 1/q expansion. A comparison is made with sta ..."
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Using Green ′ s function and operator techniques we give a closed expression for the response of a nonrelativistic system interacting through confining, harmonic forces. The expression for the incoherent part permits rapid evaluation of coefficients in a 1/q expansion. A comparison is made
Adelic Model of Harmonic Oscillator
 arXiv:hepth/0402193; pAdic and Adelic Quantum Mechanics, Proc. V.A. Steklov Inst. Math. 245
, 1994
"... Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation. 1. ..."
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Cited by 2 (2 self)
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Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation. 1.
QUANTUM COMPUTATION WITH HARMONIC OSCILLATORS
, 2002
"... By encoding a qudit in a harmonic oscillator and investigating the d → ∞ limit, we give an entirely new realization of continuous–variable quantum computation. The generalized Pauli group is generated by number and phase operators for harmonic oscillators. We describe a physical realization in term ..."
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By encoding a qudit in a harmonic oscillator and investigating the d → ∞ limit, we give an entirely new realization of continuous–variable quantum computation. The generalized Pauli group is generated by number and phase operators for harmonic oscillators. We describe a physical realization
Horizons and the Thermal Harmonic Oscillator
, 2004
"... We show that twodimensional antide Sitter spacetime (AdS2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS2 has a horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temper ..."
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We show that twodimensional antide Sitter spacetime (AdS2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS2 has a horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking
On Lax representations of harmonic oscillator
, 901
"... Lax representations for the harmonic oscillator are used to construct the quantum counterparts of 3d real Lie algebras. The Jacobians of the corresponding quantum algebras are calculated. 1 ..."
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Cited by 1 (1 self)
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Lax representations for the harmonic oscillator are used to construct the quantum counterparts of 3d real Lie algebras. The Jacobians of the corresponding quantum algebras are calculated. 1
Quantum states of a generalized timedependent inverted harmonic oscillator
 Int. J. Mod. Phys. B
, 2004
"... harmonic oscillator ..."
On the truncation of the harmonic oscillator wavepacket
, 2005
"... We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the nonsignificant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator has a remarkable consequence. Namely, there ex ..."
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We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the nonsignificant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator has a remarkable consequence. Namely
Controllability of quantum harmonic oscillators
 IEEE Trans Automatic Control
"... Abstract—It is proven in a previous paper that any modal approximation of the onedimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finitedimensional approximations, the original infinitedimensional system is not controllable:Its controllable part is of ..."
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Cited by 27 (5 self)
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Abstract—It is proven in a previous paper that any modal approximation of the onedimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finitedimensional approximations, the original infinitedimensional system is not controllable:Its controllable part
Results 1  10
of
3,803