A modified ladder operator formalism for molecule-fixed components of the total angular momentum operator in linear molecules

1973 ◽  
Vol 48 (3) ◽  
pp. 609-611 ◽  
Author(s):  
Jon T. Hougen
Keyword(s):  
Angular Momentum ◽  
Total Angular Momentum ◽  
Momentum Operator ◽  
Angular Momentum Operator ◽  
Operator Formalism ◽  
Ladder Operator ◽  
Linear Molecules

scholarly journals DISAPPEARANCE OF SCHWINGER'S STRING AT THE CHARGE–MONOPOLE "MOLECULE"

2010 ◽  
Vol 25 (02) ◽  
pp. 91-100
Author(s):  
S. E. KORENBLIT ◽  
KIEUN LEE
Keyword(s):  
Angular Momentum ◽  
Diatomic Molecule ◽  
Total Angular Momentum ◽  
Quantization Condition ◽  
Momentum Operator ◽  
Angular Momentum Operator

An equivalence of total angular momentum operator of charge–monopole system to the momentum operator of a symmetrical quantum top is observed. This explicitly shows the string independence of Dirac's quantization condition leading to disappearance of Schwinger's string and reveals some properties of diatomic molecule for this system.

scholarly journals GLUEBALL SPIN

2001 ◽  
Vol 16 (01) ◽  
pp. 41-51
Author(s):  
D. SINGLETON
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Momentum Operator ◽  
Angular Momentum Operator ◽  
Total Field ◽  
Expectation Value ◽  
Starting Point ◽  
Simplifying Assumptions

The spin of a glueball is usually taken as coming from the spin (and possibly the orbital angular momentum) of its constituent gluons. In light of the difficulties in accounting for the spin of the proton from its constituent quarks, the spin of glueballs is re-examined. The starting point is the fundamental QCD field angular momentum operator written in terms of the chromoelectric and chromomagnetic fields. First, we look at the possible restrictions placed on the structure of glueballs from the requirement that the QCD field angular momentum operator should satisfy the standard commutation relationships. This analysis can be compared to the electromagnetic charge/monopole system, where the requirement that the total field angular momentum obey the angular momentum commutation relationships places restrictions (i.e. the Dirac condition) on the system. Second, we look at the expectation value of the field angular momentum operator under some simplifying assumptions.

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