Spiros Konstantogiannis

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Questions related from Spiros Konstantogiannis

Can the form of the momentum operator, in position space, be derived from qualitative physical arguments?

In standard quantum mechanics textbooks, the form of the momentum operator, in position space, is either given as definition, i.e. they write that the momentum operator is –id/dx (times the...

18 January 2019 8,920 5 View

In one-dimensional quantum mechanics, can the form of the potential be determined from the spectrum of the Hamiltonian?

In one-particle, one-dimensional quantum mechanics, if the spectrum of the Hamiltonian is given, can the form of the potential be determined? For instance, can all potentials with spectrum of the...

28 November 2018 9,280 18 View

Is it physically correct to impose mathematical conditions on the wave function pointwisely, i.e. at individual points of the physical space?

Due to the position-momentum uncertainty, it is impossible to measure the position of a microscopic particle exactly. This means that it is impossible to measure the probability density, i.e. the...

01 January 1970 1,059 3 View

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 5,325 3 View

Is the Hermite basis the only orthonormal basis of the Schwartz space that can be calculated in closed form?

The Schwartz space of rapidly decreasing functions consists of all infinitely differentiable complex-valued functions on R that vanish at infinity, along with their derivatives, more rapidly than...

01 January 1970 3,442 4 View