The Schrdinger equation is a deterministic equation for the quantum mechanical state. It can be cast into the form of a Hamiltonian system (familiar from analytical mechanics) on the space of pure states (rays) . Quantum states (pure or mixed) then formally become distribution functions This ...
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Keywords: Theorem; Perturbation theory (quantum mechanics); Unitarity (physics); Naturalness (physics); Integral equation; Eigenfunction; Expectation value (quantum mechanics); Eigenvalues and eigenvectors; Quantum mechanics; Fubini's theorem; Analytic Fredholm theorem; Schrödinger equation; Mathematical ind...
However, in the hamiltonian formalism, at the semiclassical level as well as in the quantum theory, the Maxwell-Gauss equation is considered as a constraint that the solutions have to satisfy (see [ref. 31, p. 363, 375]).We are now ready to quantize the theory. We quantize both the ...
The Hamiltonian Operator Associated with Some Quantum Stochastic Evolutions We consider the Hamiltonian operator associated to the quantum stochastic differential equation introduced by Hudson and Parthasarathy to describe a quantu... M Gregoratti - 《Communications in Mathematical Physics》 被引量: 46发表...
introduced recently as an approach having both the advantage of the quantum Monte Carlo method and that of the direct diagonalization of the Hamiltonian ... T Mizusaki,M Honma,T Otsuka - 《Physical Review C》 被引量: 68发表: 2007年 Time-dependent theory of non-Hermitian Schrodinger equation:...
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There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schrodinger equation of quantum mechanics. 拉格朗日及汉密尔敦力学LAGRANGIAN AND HAMILTONIAN ...
(1953).Equation of state calculations by fast computing machines.Journal of Chemical Physics,21:1087–1092. Neal, R. M. (1993).Probabilistic Inference Using Markov Chain Monte Carlo Methods.Technical Report CRG-TR-93-1. Dept. of Computer Science, University of Toronto. Neal, R. M. (1994)...