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- Path Integrals in Quantum Mechanics - MIT
We present the path integral formulation of quantum mechanics and demon-strate its equivalence to the Schr ̈odinger picture We apply the method to the free particle and quantum harmonic oscillator, investigate the Euclidean path integral, and discuss other applications
- AN INTRODUCTION INTO THE FEYNMAN PATH INTEGRAL - arXiv. org
discuss the radial path integral with its application of the exact treatment of the radial (time-dependent) harmonic oscillator The chapter concludes with a comprehensive
- Mathematical Theory of Feynman Path Integrals - Springer
Abstract Sergio Albeverio’s outstanding contributions to the mathematical theory of Feynman path integrals are reviewed Connections with quantum mechanics and quantum field theory are discussed Feynman path integrals are ubiquitous in theoretical physics [1–6]
- The Feynman Path Integral: An Historical Slice - ResearchGate
Efforts to give an improved mathematical meaning to Feynman's path integral formulation of quantum mechanics started soon after its introduction and continue to this day In the present
- [hep-th 9302097] An Introduction into the Feynman Path Integral - arXiv. org
In this lecture a short introduction is given into the theory of the Feynman path integral in quantum mechanics The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian
- An Introduction to the Path Integral Approach to Quantum Mechanics
In this paper I will give a short overview of the propagator and how it can be used to describe the system Then I will discuss the results of the Feynman path integral formulation and its equivalence to the SchrÄodinger equation
- 75 years of the path integral formulation - Nature
Writing in Reviews of Modern Physics in 1948, Feynman (pictured) was setting out his own approach to non-relativistic quantum mechanics It was inspired by Paul Dirac, and comments he had made
- 221A Lecture Notes - Hitoshi Murayama
Feynman’s formulation of quantum mechanics using the so-called path inte-gral is arguably the most elegant It can be stated in a single line: hxf, tf|xi, tii = Dx(t)eiS[x(t)] ̄h The meaning of this equation is the following
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