In a famous essay on determinism and free will, he expressed very clearly the sense that consciousness is a unity, arguing that this "insight is not new...From the early great Upanishads the recognition Atman = Brahman (the personal self equals the omnipresent, all-comprehending eternal self) was in Indian thought considered, far from being blasphemous, to represent, the quintessence of deepest insight into the happenings of the world. The striving of all the scholars of Vedanta was, after having learnt to pronounce with their lips, really to assimilate in their minds this grandest of all thoughts."
Schrodinger wrote:
“Vedanta teaches that consciousness is singular, all happenings are played out in one universal consciousness and there is no multiplicity of selves.”
“the stages of human development are to strive for Possession (Artha), Knowledge (Dharma), Ability (Kama), Being (Moksha)”
“Nirvana is a state of pure blissful knowledge.. It has nothing to do with individual. The ego or its separation is an illusion. The goal of man is to preserve his Karma and to develop it further – when man dies his karma lives and creates for itself another carrier.”
(source: What is life? the physical aspect of the living cell & Mind and matter - By Erwin Schrodinger p. 87). Refer to What is Life? Published in 1944