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2001 (1)
1998 (1)
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1Author    M. Iijana Bozic, Dusan Arsenovic, Lepsa VuskovicaRequires cookie*
 Title    Transverse Momentum Distribution of Atoms in an Interferometer  
 Abstract    From the stationary solution o f Schrödinger's equation in an interferometer we derive the wave functions of the longitudinal and the transverse motion. The former function is a plane wave. The wave function of the transverse motion is a one dimensional wave packet representing a super­ position of components with various values of the particles transverse momentum. The particles transverse momentum distribution in an interferometer is time independent and is determined by the aperture wave function. Consequently, it is independent of the distance from the slits. As such, it is a very important characteristic of the quantum state. Experimental determination of the mo­ mentum distribution would support the particle and wave interpretation of quantum interference in a new manner. 
  Reference    Z. Naturforsch. 56a, 173—177 (2001); received February 8 2001 
  Published    2001 
  Keywords    Atomic Interference, Transfer Momentum Distribution, Wave-particle Duality 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0173.pdf 
 Identifier    ZNA-2001-56a-0173 
 Volume    56 
2Author    D. Sen, A. N. Basu, S. SenguptaRequires cookie*
 Title    Is the Uncertainty Relation at the Root of all Mutual Exclusiveness?  
 Abstract    It is argued that two distinct types of complementarity are implied in Bohr's complementarity principle. While in the case of complementary variables it is the quantum mechanical uncertainty relation which is at work, the collapse hypothesis ensures this exclusiveness in the so-called wave-particle complementarity experiments. In particular it is shown that the conventional analysis of the double slit experiment which invokes the uncertainty principle to explain the absence of the simul-taneous knowledge of the which-slit information and the interference pattern is incorrect and implies consequences that are quantum mechanically inconsistent. 
  Reference    Z. Naturforsch. 52a, 398—402 (1997); received October 10 1994 
  Published    1997 
  Keywords    Bohr's Complementarity Principle, Wave-Particle Duality, Uncertainty Relation, Mu-tual Exclusiveness, Quantum Mechanics 
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 TEI-XML for    default:Reihe_A/52/ZNA-1997-52a-0398.pdf 
 Identifier    ZNA-1997-52a-0398 
 Volume    52 
3Author    F. H. FröhnerRequires cookie*
 Title    Missing Link Between Probability Theory and Quantum Mechanics: the Riesz-Fejer Theorem  
 Abstract    Quantum mechanics is spectacularly successful on the technical level but the meaning of its rules remains shrouded in mystery even more than seventy years after its inception. Quantum-mechanical probabilities are often considered as fundamentally different from classical probabilities, in disre-gard of the work of Cox (1946) -and of Schrödinger (1947) -on the foundations of probability theory. One central question concerns the superposition principle, i. e. the need to work with inter-fering wave functions, the absolute squares of which are probabilities. Other questions concern the relationship between spin and statistics or the collapse of the wave function when new data become available. These questions are reconsidered from the Bayesian point of view. The superposition principle is found to be a consequence of an apparently little-loiown mathematical theorem for non-negative Fourier polynomials published by Fejer in 1915 that implies wave-mechanical inter-ference already for classical probabilities. Combined with the classical Hamiltonian equations for free and accelerated motion, gauge invariance and particle indistinguishability, it yields all basic quantum features -wave-particle duality, operator calculus, uncertainty relations, Schrödinger equation, CPT invariance and even the spin-statistics relationship -which demystifies quantum mechanics to quite some extent. 
  Reference    Z. Naturforsch. 53a, 637—654 (1998); received January 28 1998 
  Published    1998 
  Keywords    Superposition Principle, Wave Packets, Logical Inference, Wave-Particle Duality, Quantum Mechanics 
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 TEI-XML for    default:Reihe_A/53/ZNA-1998-53a-0637.pdf 
 Identifier    ZNA-1998-53a-0637 
 Volume    53