scholarly journals On the completeness of the natural modes for quantum mechanical potential scattering

1979 ◽  
Vol 20 (2) ◽  
pp. 329-335 ◽  
Author(s):  
B. J. Hoenders
Keyword(s):  
Potential Scattering ◽  
Quantum Mechanical ◽  
Natural Modes

A low-frequency theorem on laser-assisted X-ray scattering

1992 ◽  
Vol 70 (9) ◽  
pp. 731-739 ◽  
Author(s):  
F. Ehlotzky
Keyword(s):  
Low Frequency ◽  
Potential Scattering ◽  
Quantum Mechanical ◽  
Free Electrons ◽  
X Ray ◽  
Classical Counterpart ◽  
Frequency Theorem ◽  
X Ray Scattering ◽  
Cross Section Formula ◽  
Ray Scattering

As we shall show, for laser-assisted X-ray scattering by free electrons, a similar low-frequency theorem can be derived, as was found many years ago by Kroll and Watson, for potential scattering of electrons in a laser field. If quantum mechanical recoil effects are neglected, our renormalized cross-section formula becomes independent of Planck's constant and therefore must have a classical counterpart.

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

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