Spiros Konstantogiannis

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Questions related from Spiros Konstantogiannis

Referring to abstract branches of mathematics, like topology, what is it that we generally call intuition and how it can be developed?

Referring to standard textbooks, one finds frequent appeals to readers’ intuition, when fundamental theorems are proved or basic definitions are explained. What exactly is intuition in such an...

01 January 1970 5,601 4 View

Is the property of completeness of the quantum mechanical state space presented and analyzed adequately in standard quantum-mechanics textbooks?

In quantum mechanics, the state space is a separable complex Hilbert space. By definition, a Hilbert space is a complete inner product space. The term complete means that any Cauchy sequence of...

01 January 1970 262 9 View

Is the property of separability of the quantum mechanical state space presented and analyzed adequately in standard quantum-mechanics textbooks?

In quantum mechanics, the state space is a separable complex Hilbert space. A Hilbert space is separable if and only if it has a countable orthonormal basis [1, 2]. Why the quantum mechanical...

01 January 1970 4,977 4 View