Elements of Poisson Integral Calculus and Quantum Mechanics
2017
The theory of integration along Poisson trajectories is developed. Its probabilistic, statistical, and physical applications are specified.
Keywords:
- Calculus
- Analytical mechanics
- Functional integration
- Relation between Schrödinger's equation and the path integral formulation of quantum mechanics
- Mathematical analysis
- Quantum stochastic calculus
- Differentiation under the integral sign
- Canonical quantization
- Time-scale calculus
- Quantum statistical mechanics
- Mathematics
- Quantum probability
- Path integral formulation
- Poisson algebra
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