𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A remark on the integration of Schrödinger equation using quantum Itô's formula

✍ Scribed by K. R. Parthasarathy


Publisher
Springer
Year
1984
Tongue
English
Weight
174 KB
Volume
8
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis


A B ST R ACT. When the potential is the Fourier transform of a totally finite complex-valued measure, a formula for the one-parameter unitary group generated by the SchrOdinger operator in L2(lR n) is obtained entirely in terms of the basic field operators in a suitable Fock space by means of quantum stochastic calculus.


📜 SIMILAR VOLUMES


On the Integrability Properties of a Per
✍ K.S. Sreelatha; K.Babu Joseph 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 485 KB

The integrability properties of a perturbed nonlinear Schro à dinger equation are studied using Painleve analysis and Lax|s method[ We distinguish between integrability in the Painleve sense and integrability in the Lax sense[ The solution of the perturbed equation\ with the perturbing term dependin

Remark on the solution of the Schrödinge
✍ Jorge Rezende 📂 Article 📅 1983 🏛 Springer 🌐 English ⚖ 313 KB

integrable' functions, are again 'integrable' functions, and so are also compositions with entire functions. The formal notation involving d7 has the advantage of reminding us of the origins of the normalized-oscillatory integral and of its properties such as the invariance under translations and \

The reduction of the multi-dimensional s
✍ C.M Rosenthal 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 648 KB

A method is proposed for reducing the multi-dimensional Schriidinger equation to a one\_dimensionaI integral equation. The reduction is exact; and the resulting integral equation although complicated, may be treated by any of a number of numerical methods. Two 24iniensional problems, the harmonic os