• Gautam Kumar

The paper proposes to study the mathematical formulation of quantum mechanics. The foundations of quantum mechanics are concerned more or less with Hilbert space; the theory of which furnishes the mathematical by ground for the application of lattice theory in quantum. The main concepts of states, observables and propositions in quantum mechanical formalism, three approaches to quantum mechanics have evolved – (i) the basic notions of states and observables; (ii) takes the observables as the basic concept, and (iii) draws it authority directly from experiment. This paper is devoted to the study of the first two formulations of quantum mechanics and to show that the latter, both from foundational as well as technical point of view, is preferable to the former.

Hilbert space, Abstruct lattice, Entity, Quantum mechanics, Orthocomplementation.

"FORMULATION OF QUANTUM MECHANICS ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 5, page no.1164-1167, May-2018, Available :http://www.jetir.org/papers/JETIR1805937.pdf

"FORMULATION OF QUANTUM MECHANICS ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 5, page no. pp1164-1167, May-2018, Available at : http://www.jetir.org/papers/JETIR1805937.pdf