What is Macroscopic Quantization and How Does it Affect Everyday Objects?

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Macroscopic quantization is generally not noticeable in everyday objects due to the small scale of Planck's constant, which makes energy changes in larger systems appear continuous. However, phenomena such as superconductivity and superfluidity demonstrate quantized behaviors at macroscopic levels, particularly under low-temperature conditions. The stability of atoms, resulting from microscopic quantization, contributes to the properties of larger bodies. Additionally, certain classical systems exhibit quantized characteristics, such as stairs or anchored structures. Overall, while quantization is less apparent in macroscopic objects, it still plays a crucial role in specific phenomena.
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I'm learning about Schrodinger's equation in my general chem class right now, so obviously I'm doing a little background reading on quantum theory. The following is an excerpt from a supplement on basic (very basic) quantum theory:

The answer is that quantization is only noticeable when studying really
small (microscopic) things, like an atom or an electron; it is hidden (although not absent) in large (macroscopic) things, like a baseball or a person.

I'm curious as to what types of quantization occur in the macroscopic world. I'm guessing it's not going to be something obvious, like motion. Does anyone have any insight as to what exactly is meant by quantization in the macroscopic world, or could you provide a reasonably nontechnical example? Thanks in advance for all responses.
 
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Well technically speaking energy is always quantized.

The problem is is that energy is typically proportional to Planck's constant which is incredibly small, so as the energy increases to a higher level the increase is very small. This is why we can very easily approximate macroscopic systems with a continuous energy spectrum.
 
First of all, the microscopic quantization provides stability of atoms and thus macroscopic bodies.

There are few phenomena, like superconductivity with quantizes velocity, super-fluidity, etc. that are due to quantized energies of macroscopic variables. Normally they are low-temperature phenomena.

However there are classically "quantized" systems, like stairs, anchored, trigged things, etc.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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