scholarly journals Solution of radial equation of Kepler’s problem by pseudo-angular-momentum method and normalization of eigenstate and coherent state

2004 ◽  
Vol 53 (9) ◽  
pp. 2964
Author(s):  
Li Wen-Bo ◽  
Li Ke-Xuan
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Radial Equation ◽  
Kepler’S Problem

Quantum Key Distribution Based on Heralded Pair Coherent State and Orbital Angular Momentum

2019 ◽  
Vol 39 (4) ◽  
pp. 0427001
Author(s):  
何业锋 He Yefeng ◽  
杨红娟 Yang Hongjuan ◽  
王登 Wang Deng ◽  
李东琪 Li Dongqi ◽  
宋畅 Song Chang
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Orbital Angular Momentum ◽  
Quantum Key Distribution ◽  
Key Distribution ◽  
Pair Coherent State

PROPERTIES OF SO(2, 1) COHERENT STATE FOR THE COULOMB PROBLEM

2004 ◽  
Vol 19 (03) ◽  
pp. 355-360
Author(s):  
BO-WEI XU ◽  
FEI YE
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Physical Properties ◽  
Geometric Phase ◽  
Classical Limit ◽  
Uncertainty Relation ◽  
Phase Factor ◽  
High Excitation ◽  
Coulomb Problem ◽  
Minimum Uncertainty

The physical properties of the SO(2, 1) coherent state for the Coulomb problem are discussed in this paper. We find that the coherent state, for which the minimum uncertainty relation holds, has a nonvanishing geometric phase factor, and also is approximately nonspreading in the classical limit of the high excitation of angular momentum.

Angular momentum coherent states

1971 ◽  
Vol 321 (1546) ◽  
pp. 321-340 ◽  
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Classical Limit ◽  
Coherent States ◽  
Uncertainty Relations ◽  
Mean Square ◽  
Expectation Values ◽  
Angular Momenta ◽  
Two Component

The work of Carruthers & Nieto on the harmonic oscillator coherent states is combined with Schwinger’s construction of angular momentum to produce the angular momentum coherent states. It is shown that these states become the vector representatives of angular momentum in the classical limit, and so are particularly useful for discussing the transition from quantum to classical angular momentum. The uncertainty relations for angle and angular momentum are described and are compatible with the classical limit. Under rotations the coherent states transform in a manner that in the classical limit is equivalent to the transformation of vectors, and in the same limit the root mean square variation of the expectation values of the components of angular momentum become negligible in comparison with the expectation values themselves. The coupling of two angular momenta in the classical limit is investigated: it is shown that although the product of two coherent states is not itself a coherent state, it does represent a packet similar to a true coherent state, and centred on the direction of the classical resultant of the two component vectors. The properties and implications of hyperbolic angular momentum space are discussed.

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