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This paper seeks to clarify the foundations of quantum mechanics. CHAPTER 3 General Formulation of Quantum Mechanics and Examples 3.1 Hubert space formalism In the previous chapter, we discussed the principles of Schrödinger's wave mechanics, i.e., the quantum mechanics of a material point in three-dimensional Euclidean space. We present an approach to quantum gravity based on the general boundary formulation of quantum mechanics, path integral quantization, spin foam models and renormalization. Hugh Everett III’s relative-state formulation of quantum mechanics is a proposal for solving the quantum measurement problem by dropping the collapse dynamics from the standard von Neumann-Dirac formulation of quantum mechanics. It presents a reformulation of quantum theory in a form believed suitable for application to general … History. The explicit goal is to provide a formulation of quantum mechanics that is suitable for application to general relativity. Matrix mechanics was the ﬁrst formulation of quantum mechanics to be discovered. We cannot use it, for example, to describe vibrations of diatomic molecules, where quantum effects are important. The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as the space-time geometry itself. s of Quantum Mechanics}. The revised version was subsequently published as ' Relative State'' Formulation of Quantum Mechanics' in {\em Reviews of Modern Physics\/} 29: 454--62. One problem with this classical formulation is that it is not general. A first step toward a quantum formulation is to use the classical expression $$k = m\omega^2$$ to limit mention of a “spring” constant between the atoms. 2. W. Heisenberg, ‘‘U¨ber die quantentheoretische Umdeutung kinematis-cher und mechanischer Beziehungen,’’ ~‘‘Quantum-theoretical re- Read more Article The founding papers are 3. T. F. Jordan, Quantum Mechanics in Simple Matrix Form ~Wiley, New York, 1986!.