physics.casimir_effect

Title : Finding the value of magnitude of either the Casimir force, the surface area of one of the plates or distance between the plates provided that the other two parameters are given.

Description : In quantum field theory, the Casimir effect is a physical force acting on the macroscopic boundaries of a confined space which arises from the quantum fluctuations of the field. It is a physical force exerted between separate objects, which is due to neither charge, gravity, nor the exchange of particles, but instead is due to resonance of all-pervasive energy fields in the intervening space between the objects. Since the strength of the force falls off rapidly with distance it is only measurable when the distance between the objects is extremely small. On a submicron scale, this force becomes so strong that it becomes the dominant force between uncharged conductors.

Dutch physicist Hendrik B. G. Casimir first proposed the existence of the force, and he formulated an experiment to detect it in 1948 while participating in research at Philips Research Labs. The classic form of his experiment used a pair of uncharged parallel metal plates in a vacuum, and successfully demonstrated the force to within 15% of the value he had predicted according to his theory.

The Casimir force F for idealized, perfectly conducting plates of surface area A square meter and placed at a distance of a meter apart with vacuum between them is expressed as -

F = - ((Reduced Planck Constant ℏ) * c * Pi^2 * A) / (240 * a^4)

Here, the negative sign indicates the force is attractive in nature. For the ease of calculation, only the magnitude of the force is considered.

Source : - https://en.wikipedia.org/wiki/Casimir_effect - https://www.cs.mcgill.ca/~rwest/wikispeedia/wpcd/wp/c/Casimir_effect.htm - Casimir, H. B. ; Polder, D. (1948) “The Influence of Retardation on the

London-van der Waals Forces”, Physical Review, vol. 73, Issue 4, pp. 360-372

Attributes

REDUCED_PLANCK_CONSTANT

SPEED_OF_LIGHT

Functions

casimir_force(→ dict[str, float])

Input Parameters

Module Contents

physics.casimir_effect.casimir_force(force: float, area: float, distance: float) → dict[str, float]

Input Parameters

force -> Casimir Force : magnitude in Newtons

area -> Surface area of each plate : magnitude in square meters

distance -> Distance between two plates : distance in Meters

Returns

result : dict name, value pair of the parameter having Zero as it’s value

Returns the value of one of the parameters specified as 0, provided the values of other parameters are given. >>> casimir_force(force = 0, area = 4, distance = 0.03) {‘force’: 6.4248189174864216e-21}

>>> casimir_force(force = 2635e-13, area = 0.0023, distance = 0)
{'distance': 1.0323056015031114e-05}

>>> casimir_force(force = 2737e-21, area = 0, distance = 0.0023746)
{'area': 0.06688838837354052}

>>> casimir_force(force = 3457e-12, area = 0, distance = 0)
Traceback (most recent call last):
    ...
ValueError: One and only one argument must be 0

>>> casimir_force(force = 3457e-12, area = 0, distance = -0.00344)
Traceback (most recent call last):
    ...
ValueError: Distance can not be negative

>>> casimir_force(force = -912e-12, area = 0, distance = 0.09374)
Traceback (most recent call last):
    ...
ValueError: Magnitude of force can not be negative
physics.casimir_effect.REDUCED_PLANCK_CONSTANT = 1.054571817e-34
physics.casimir_effect.SPEED_OF_LIGHT = 300000000.0