Simple derivation of the quantum mechanical virial theorem

1991 ◽  
Vol 59 (5) ◽  
pp. 476-476 ◽  
Author(s):  
T. C. Ernest Ma
Keyword(s):  
Virial Theorem ◽  
Quantum Mechanical ◽  
Simple Derivation

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.

Simple derivation of the explicit forms of quantum-mechanical fundamental representations

2021 ◽  
Vol 89 (5) ◽  
pp. 535-537
Author(s):  
Ye-Jun Xu ◽  
Xiu-Chun Ding ◽  
Ji-Zhu Peng ◽  
Shu-Dong Fang
Keyword(s):  
Quantum Mechanical ◽  
Simple Derivation

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

The quantum mechanical Hamiltonian in curvilinear coordinates: A simple derivation

1990 ◽  
Vol 58 (4) ◽  
pp. 344-347 ◽  
Author(s):  
Henrik Grum Kjaergaard ◽  
Ole Sonnich Mortensen
Keyword(s):  
Curvilinear Coordinates ◽  
Quantum Mechanical ◽  
Simple Derivation
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