Showing papers on "Quantum geometry published in 1980"
TL;DR: In this article, the effects of gravity, inertia, and quantum mechanics on the motion of the neutron were investigated using a neutron interferometer of the type developed by Bonse and Hart for x rays, and the importance of these experiments with regard to the role of the principle of equivalence in quantum mechanics is discussed.
Abstract: The experiments described in this paper probe the simultaneous effects of gravity, inertia, and quantum mechanics on the motion of the neutron. Using a neutron interferometer of the type developed by Bonse and Hart for x rays, we have observed quantum-mechanical interference phenomena induced by the gravitational field of the Earth and by the Earth's rotation relative to the fixed stars. The importance of these experiments with regard to the role of the principle of equivalence in quantum mechanics is discussed.
180 citations
TL;DR: In this article, a general method of calculation of instanton-anti-instanton configuration was proposed, illustrated on the example of the anharmonic oscillator and the results agree with the direct semi-classical approach.
180 citations
28 citations
TL;DR: The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same as discussed by the authors.
Abstract: The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same. Examination of quantum phenomena reveals that the space-time manifold is not appropriate for quantum theory. A different conception of geometry for quantum theory on the group manifold, which may be an arbitrary Lie group, is proposed. This provides a unified description of gravity and gauge fields as well as generalizations of these fields. A correspondence principle which relates the geometry of quantum physics and the geometry of classical physics is formulated.
26 citations
TL;DR: In this paper, it is argued that the application of the dimensional regularization technique to one-loop quantum gravity calculations is ambiguous and that for the calculation of on-mass-shell S-matrix elements, this ambiguity can be resolved by requiring consistency with results obtained from other regularisation schemes.
Abstract: It is argued that the application of the dimensional regularisation technique to one-loop quantum gravity calculations is ambiguous. However, for the calculation of on-mass-shell S-matrix elements, this ambiguity can be resolved by requiring consistency with results obtained from other regularisation schemes. Some discussion is also given of the implications of this work for recent attempts to use higher derivative Lagrangians to solve the renormalisability problem in quantum gravity.
19 citations
TL;DR: In this paper, topologically nontrivial quantum gravitational field configurations may induce transitions between particles and anti-particles, which explain the change in baryon and other quantum numbers that occur in black-hole formation and evaporation without requiring a loss of information.
13 citations
TL;DR: In this paper, the notion of relative compatibility of observables is treated and its relation to the existence of joint distributions is obtained, and a generalization to the quantum logic approach to quantum mechanics is given.
Abstract: The notion of relative compatibility of observables is treated and its relation to the existence of joint distributions is obtained. The case of conventional quantum mechanics is studied and a generalization to the case of the quantum logic approach to quantum mechanics is given. It is shown that relative compatibility is equivalent to the existence of so-called “type 1” joint distributions.
11 citations
TL;DR: In this article, the Fiks' quasiclassical theory of the electron wind force is quantum mechanically generalized, and the space dependence of electron wind forces in the vicinity of an interface between two media is calculated.
Abstract: The Fiks' quasiclassical theory of the electron wind force is quantum mechanically generalized. Within the framework of this generalization the space dependence of the electron wind force is calculated in the vicinity of an interface between two media. It is found that quantum corrections may be comparable with or even greater than corresponding quasiclassical values.
2 citations
01 Mar 1980
TL;DR: On the basis of the simplest supergravity group, the authors developed the formalism of differential geometry, in which all geometric objects such as supertetrads (supervierbeins), connections, etc. are expressed in terms of the axial-vector gravitational superfield.
Abstract: On the basis of the simplest supergravity group we develop the formalism of differential geometry. In this formalism all geometric objects, such as supertetrads (supervierbeins), connections, etc. are expressed in terms of the axial-vector gravitational superfield.
2 citations
01 Jan 1980
01 Jan 1980
01 Jan 1980
TL;DR: In this paper, several arguments for a new foundation of quantum theory on the basis of the formulated principle of fundamental covariance, combining the General Principle of Relativity (Principle of Coordinate-Covariance in space-time) and the Principle of State-Operator-Cavariance (in the space of quantum states), are presented.
Abstract: Starting from the fact that the traditional formulation of quantum mechanics in pictures (Heisenberg picture, Schrodinger picture, etc.) does not fulfil the requirements of covariance, the question of the deeper reasons of this problem is asked. Several arguments for a new foundation of quantum theory on the basis of the formulated “Principle of Fundamental Covariance”, combining the General Principle of Relativity (Principle of Coordinate-Covariance in space-time) and the Principle of State-Operator-Covariance (in the space of quantum states), are presented.