On an Extension of the Mathematical Framework of the Quantum Theory

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概要

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• Extending the usual framework of the quantum theory, we have succeeded in getting a new mathematical framework. The most essential character of the usual theory is preserved in the new theory, that is, the set of physical quantities can be represented by an operator algebra in a separable Hilbert space. In the new theory, on the other hand, we can rigorously treat the interaction Hamiltonians, which cannot be treated in the usual framework. In our new framework there are always solutions of the Schrodinger equation for any Hamiltonian. However, the most serious defect of our theory is in the fact that we have no guarantee of the uniqueness of solutions.

• 理論物理学刊行会の論文
• 1961-05-25

著者

• Wakita Hitoshi

  Research Institute For Theoretical Physics Hiroshima University

関連論文

• Mathematical Foundation of the Quantum Theory of Free Fields
• Measurement in Quantum Mechanics. II : Reduction of a Wave Packet
• On an Extension of the Mathematical Framework of the Quantum Theory
• On the Representations of Field Quantities, II

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