On the quantum-mechanical virial theorem for molecular bending motions

1969 ◽  
Vol 4 (3) ◽  
pp. 109-110 ◽  
Author(s):  
Y. Takahata ◽  
R.G. Parr
Keyword(s):  
Virial Theorem ◽  
Quantum Mechanical

Non-existence of eigenvalues of Schrödinger operators

1977 ◽  
Vol 79 (1-2) ◽  
pp. 157-172 ◽  
Author(s):  
H. Kalf
Keyword(s):  
Schrödinger Operator ◽  
Exterior Domain ◽  
Virial Theorem ◽  
Schrödinger Operators ◽  
Quantum Mechanical ◽  
Schrodinger Operators ◽  
Schrodinger Operator ◽  
Image Position

SynopsisThe paper provides conditions which enstlre that the Schrödinger operatordefined on an exterior domain has no eigenvalues on a certain half-ray. These conditions are in terms of weak local assumptions onThe proof uses Kato's ideas [16] in conjunction with the physicists' “commutator proof” of the quantum mechanical virial theorem.

Quantum-mechanical stress and a generalized virial theorem for clusters and solids

1988 ◽  
Vol 37 (14) ◽  
pp. 8167-8178 ◽  
Author(s):  
P. Ziesche ◽  
J. Gräfenstein ◽  
O. H. Nielsen
Keyword(s):  
Mechanical Stress ◽  
Virial Theorem ◽  
Quantum Mechanical ◽  
Generalized Virial Theorem

Footnote to the quantum mechanical virial theorem

1989 ◽  
Vol 57 (6) ◽  
pp. 555-557 ◽  
Author(s):  
Frank S. Crawford
Keyword(s):  
Virial Theorem ◽  
Quantum Mechanical
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