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An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra
Clifford algebra, foundations of quantum mechanics, wave function collapse,quantum mechanics and conceptual entities, von Neumann postulates on quantum measurement
2011/9/2
We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems ms on the existence of the A(Si) and i,±1 N Clifford algebras. ...
The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach
The Clifford Algebra Quantum Mechanics
2010/11/23
In this paper we present for the first time a complete description of the Bohm model of the Dirac particle. This result demonstrates again that the common perception that it is not possible to constr...
The Clifford Algebra approach to Quantum Mechanics A: The Schroedinger and Pauli Particles
The Clifford Algebra approach Quantum Mechanics
2010/11/23
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
Cliff ord algebra supersymmetric quantum mechanics deformation quantization Wigner functions Jaynes-Cummings models
2010/4/13
In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal sta...
Embedding Fundamental Aspects of the Relational Blockworld Interpretation in Geometric (or Clifford) Algebra
Relational Blockworld Clifford algebraic derivation of Heisenberg algebra
2008/4/11
I summarize Silberstein, et. al’s (2006) discussion of the derivation of the Heisenberg commutators, whose work is based on Kaiser (1981, 1990) and Bohr, et. al. (1995, 2004a,b). I argue that Bohr an...
Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables
Bell's Theorem Local Causality Local realism
2008/4/11
It is shown that Bell's theorem fails for the Clifford algebra valued local realisticvariables. This is made evident by exactly reproducing quantum mechanical expectationvalue for the EPR-Bohm type sp...
In this paper, introducing the concept of“quasi- permutation”,we solve the sign problem often met with when the operation is carried out in the incommutable Clifford algebra, and using the results in ...