Restricted Path Integrals and the Philosophy of Quantum Mechanics

Michael B. Mensky

Michael C. Ogilvie

Михаил Борисович Менский

List of Figures. Preface. 1. Introduction. I: The Nature of Quantum Measurements. 2. The Physics Behind Quantum Measurements. 3. Measurement induced uncertainties. II: Continuous Quantum Measurements: Theory. 4. Continuous Quantum Measurements: The General Notion. 5. Fuzzy Continuous Measurements: Phenomenology. 6. Restricted Path Integrals: General Features. III: Continuous Quantum Measurements: Applications. 7. The Monitoring of Energy. 8. Monitoring by a series of observations. 9. The Quantum Zeno effect in a passive setup. IV: Conceptual Problems and Prospects. 10. RPI and the Philosophy of Quantum Mechanics. 11. Conclusion: New Prospects. A. The Formalism of Quantum Mechanics. References. Index.

Hossien Hossieni, Jabar Fatah, Said Kaki +1 more

In this study, we explain why Hawking thinks in his book (The Grand Design) that philosophy is dead. For this purpose, in the second and third sections we first introduce in brief quantum mechanics, Heisenberg uncertainty, Bohr Complementary and path integral approach to quantum mechanics and explain Young Experiment as heart of quantum mechanics and why no one can predicate future a microscopic system definitely. In fourth section, we explain Kant philosophy about causality and Kant understanding for phenomena and things itself. We discuss towards the end of this work the Copenhagen interpretation, philosophy and Kantian concepts which cannot be used to interpret reality of phenomena on atomic level and quantum mechanics. We then introduce the alternative of philosophy in modern physics, i.e., mathematics.

Manu B. Paranjape

Martin C. Gutzwiller