T and V representations of quantum mechanical virial theorem for diatomic molecules. I

1987 ◽  
Vol 86 (2) ◽  
pp. 1070-1071 ◽  
Author(s):  
Ken Ohwada
Keyword(s):  
Virial Theorem ◽  
Diatomic Molecules ◽  
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.

Relativistic virial theorem for diatomic molecules. Application to H 2 +

1993 ◽  
Vol 87 (1-2) ◽  
pp. 75-87 ◽  
Author(s):  
A. Rutkowski ◽  
W. H. E. Schwarz ◽  
R. Kosłowski
Keyword(s):  
Virial Theorem ◽  
Diatomic Molecules
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