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1: Differentiation of macro and nano scales are coming from comparisons of the thermal de Broglie wavelength of particles and the sizes of the domain that the particles confined within. Depending on the nature of the system and particle statistics, one can replace the thermal de Broglie wavelength with the appropriate characteristic de Broglie wavelength.

1: Differentiation of macro and nano scales are coming from comparisons of the thermal de Broglie wavelength of particles and the sizes of the domain that the particles confined within. Depending on the nature of the system and particle statistics, one can replace the thermal de Broglie wavelength with the appropriate characteristic de Broglie wavelength.

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Can we change the shape of a domain without altering its sizes? By introducing a size-invariant shape transformation, we propose the existence and explore the consequences of a new type of physical effect appearing at the quantum scales, which we call here as "quantum shape effect". By completely separating the shape effects from size effects, we s...

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