Basic Problems of a Microscopic Theory of a Many Body Quantum System
| dc.creator | Jain, Y. S. | |
| dc.date | 2002-08-23 | |
| dc.date.accessioned | 2026-07-07T02:46:56Z | |
| dc.date.available | 2026-07-07T02:46:56Z | |
| dc.description | Basic problems of a microscopic theory of many body quantum systems and different aspects of a new approach which can help in solving them are discussed in detail. To this effect we make a critical study of the wave mechanics of two hard core quantum particles and discover its several untouched aspects, viz.: (i) the useful details of ψ_k(r) (representing the relative motion of two particles), (ii) the expectation value of hard core (HC) repulsion (<V_{HC}(r)>), (iii) the inconsistency of the statements, r \leσand ψ_k(r \leσ)=0 (σ=HC diameter of a particle), with uncertainty principle particularly for low k values, (iv) the lower bound of allowed values of k=2q, (v) the dominance of interparticle phase correlation in low temperature phase. For the first time this study concludes that <V_{HC}(r)> has zero value which does not agree with its non-zero value known for the last several decades. This also finds compelling reasons for a system of interacting bosons such as liquid ^4He to have (q, -q) pair condensation with allowed q, obviously controlled by V_{HC}(r), to satisfy q \geπ/d. Several important aspects of N body quantum systems like liquids ^4He and ^3He are also concluded. Free from any error [see editor's note J. Scientific Exploration 16(1), p.1 (2002)], our approach can help in developing nearly exact microscopic theories of widely different systems of interacting bosons and fermions, as demonstrated for liquids ^4He type systems [J. Scientific Exploration, 16, 77-116 (2002)]. The paper also sums up the expert observations with our response to facilitate one to have a critical assessment and better understanding of the new approach. | |
| dc.description | 9 pages, RevTeX, No figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0208445 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0208445 | |
| dc.identifier | brief report in J. Scientific Exploration 16(1), 67(2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19821 | |
| dc.subject | Condensed Matter | |
| dc.title | Basic Problems of a Microscopic Theory of a Many Body Quantum System | |
| dc.type | text |