Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics

نویسنده

  • Michele Pavon
چکیده

The von Neumann collapse of the quantum mechanical wavefunction after a position measurement is derived by a purely probabilistic mechanism in the context of Nelson’s stochastic mechanics. Running Title: Stochastic mechanics and measurement PACS number: 03.65.Bz ∗Dipartimento di Elettronica ed informatica, Università di Padova, via Gradenigo 6/A, and LADSEB, CNR, 35131 Padova, Italy, ph.: 39 049 827 7604, FAX: 39 049 827 7699, E-mail: [email protected].

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Conceptual Introduction to Nelson’s Mechanics∗

Nelson’s programme for a stochastic mechanics aims to derive the wave function and the Schrödinger equation from natural conditions on a diffusion process in configuration space. If successful, this programme might have some advantages over the better-known deterministic pilot-wave theory of de Broglie and Bohm. The essential points of Nelson’s strategy are reviewed, with particular emphasis on...

متن کامل

A New Wave Equation For a Continuous Nondemolition Measurement

A stochastic model for nondemolition continuous measurement in a quantum system is given. It is shown that the posterior dynamics, including a continuous collapse of the wave function, is described by a nonlinear stochastic wave equation. For a particle in an electromagnetic field it reduces the Schrödinger equation with extra imaginary stochastic potentials. According to the statistical interp...

متن کامل

Time of arrival through interacting environments: Tunneling processes

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function PX(T ), which describes the arrival time T of a packet at a detector located at point X. We calculate PX(T ) for wave packets traveling through a tunneling barri...

متن کامل

ua nt - p h / 99 12 10 9 v 1 2 6 D ec 1 99 9 Time of Arrival Through Interacting Environments — tunnelling case —

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function PX(T ), which describes the arrival time T of a packet at a detector located at point X. We calculate PX(T ) for wave packets travelling through a tunnelling bar...

متن کامل

The Wave Function and Its Evolution

The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999