A dense domain for T₋₃,₃ in L²(−∞,∞)

Authors

Joseph Raphael R. Bunao ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

This paper attempts to construct a domain D(T_-3,3) for the operator T_-3,3 in the Hilbert Space H = L² (−∞, ∞). The domain constructed is a linear span of the basic vectors φ^(e\o) satisfying suitable conditions so that |(T_-3,3φ^(e\o))|2 < ∞. It was then shown that D(T_-3,3) is dense in L²(−∞, ∞) making T_-3,3 a densely-defined operator.

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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-1B-2

Section

Theoretical Physics

Published

2013-10-23

How to Cite

[1]

JRR Bunao and EA Galapon, A dense domain for T₋₃,₃ in L²(−∞,∞), Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-1B-2 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-1B-2.