ZfN: Search Results

1	Author	M. Iijana Bozic, Dusan Arsenovic, Lepsa Vuskovica	Requires 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

2	Author	D. Sen, A. N. Basu, S. Sengupta	Requires 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

3	Author	F. H. Fröhner	Requires 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