By Ángel S. Sanz

ISBN-10: 3642180914

ISBN-13: 9783642180910

ISBN-10: 3642180922

ISBN-13: 9783642180927

Trajectory-based formalisms are an intuitively beautiful manner of describing quantum procedures simply because they permit using "classical" recommendations. starting at an introductory point appropriate for college kids, this two-volume monograph offers (1) the basics and (2) the functions of the trajectory description of easy quantum approaches. this primary quantity is focussed at the classical and quantum history essential to comprehend the basics of Bohmian mechanics, which are thought of the most subject of this paintings. Extensions of the formalism to the fields of open quantum structures and to optics also are proposed and discussed.

**Read or Download A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian Perspective PDF**

**Similar quantum theory books**

**Decoherence: Theoretical, Experimental, and Conceptual - download pdf or read online**

During this e-book the method of decoherence is reviewed from either the theoretical and the experimental physicist's standpoint. Implications of this crucial proposal for primary difficulties of quantum concept and for chemistry and biology also are given. This vast assessment of decoherence addresses researchers and graduate scholars.

**New PDF release: Systemic Homeostasis and Poikilostasis in Sleep: Is REM**

This ebook goals at providing biologists and clinicians with a compact description of the physiological manifestations of sleep which are major from the point of view of the primary of homeostasis. within the jargon of the physiological literature, the be aware "homeostasis", brought through W. B. Cannon (1926), refers back to the life of a relentless kingdom of extracellular physique fluids in regards to their actual and chemical houses.

**Robert Sims, Daniel Ueltschi's Entropy and the Quantum: Arizona School of Analysis With PDF**

Those lecture notes supply a pedagogical advent to quantum mechanics and to a couple of the math that has been encouraged by way of this box. they're a made from the varsity ""Entropy and the Quantum"", which came about in Tucson, Arizona, in 2009. they've been written essentially for younger mathematicians, yet they're going to additionally end up worthwhile to more matured analysts and mathematical physicists.

- Quantum Mechanics on Phase Space
- Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy
- The Hybrid Grand Unified Theory
- Quantum Particle Dynamics
- Advanced modern physics

**Additional resources for A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian Perspective**

**Sample text**

Q = q(q0 , p0 , t), p = p(q0 , p0 , t). 61) Given a Hamiltonian, the corresponding trajectories can never cross in phase space due to the uniqueness of the classical equations of motion, as seen in Sect. 1. This classical non-crossing rule is comparable to the one arising in Bohmian mechanics (see Sect. 1), although the latter is more restrictive in the sense that it directly applies on the configuration space defined by q. The Liouville equation can be seen as the infinitesimal generator of the group of time translations induced in the phase space of the probability densities.

As in Sect. 106) by means of the Fourier method. 106), the latter becomes 4 This example has been chosen here for its simplicity and without loss of generality. Thus, the results could also be readily extended to nonhomogeneous, three-dimensional media. 109) ξ˜ (α, t) = ξ˜ (α, 0)eiαvt . 111) ξ˜ (α, 0)e−iα(x−vt) dα = ξ(x − vt). 107) is finally reached, 1 ξ(x, t) = √ 2π Consider that the perturbation or pulse has also initially a Gaussian shape with width σ , ξ(x, 0) = ξ0 e−x 2 /2σ 2 . , the Gaussian propagates with positive velocity along the string.

64) its coefficient, and f 0 (q0 , p0 ) any classical initial distribution function. The formal comparison between the solutions of the quantum and classical Liouville equations may lead to think that the superposition principle also holds classically. Some superpositions of eigendistributions for different eigenvalues of the Liouville operator describing the classical harmonic oscillator can be found in [72]. In those cases where one is only interested in the distribution of some of the degrees of freedom, reduced distribution functions can be easily obtained by integrating over all those phase coordinates which are not of interest.

### A Trajectory Description of Quantum Processes. I. Fundamentals: A Bohmian Perspective by Ángel S. Sanz

by James

4.4