What is the energy of a particle

In summary, when performing a standard QM calculation, the energy eigenvalues obtained include whatever is included in the Hamiltonian. In the case of a basic hydrogen atom, this includes kinetic energy and electric potential energy. However, thermal energy is not a property of individual particles and is only considered in an approximate description of systems of many particles. If performing a calculation with relativistic quantum mechanics, the mass-energy is automatically included in the Hamiltonian.
  • #1
jaydnul
558
15
When we do a standard QM calculation we get energy eigenvalues. So, for example in the ground state of a hydrogen atom, does that energy value include the mass-energy of the particle. Does it include the thermal energy? Or is it just the kinetic plus potential energy?
 
Physics news on Phys.org
  • #2
It includes whatever is included in the Hamiltonian. For the most basic hydrogen atom this is just kinetic energy and electric potential energy.

Note that thermal energy is not a property of individual particles. Thermal energy in thermodynamics or statistical mechanics is part of an approximate description of systems of many particles.
 
  • #3
I see. Thanks
 
  • #4
You could add the mass-energy manually (just by adding mc^2 to the Hamiltonian).

If you calculate the energy with relativistic quantum mechanics, you automatically include the mass-energy in the Hamiltonian.
 

1. What is the definition of energy in particle physics?

In particle physics, energy is a measure of the ability of a particle or a system of particles to do work. It can exist in many forms, such as kinetic energy, potential energy, and rest energy.

2. How is the energy of a particle measured?

In particle physics, the energy of a particle is typically measured in electron volts (eV) or joules (J). This can be done using various detection methods, such as calorimetry or particle tracking.

3. What is the relationship between mass and energy in particle physics?

According to Einstein's famous equation, E = mc², there is a direct relationship between mass and energy. In particle physics, this means that particles with mass also have energy, and energy can be converted into mass and vice versa.

4. Can particles have negative energy?

In some theories, particles can have negative energy. However, in most cases, the total energy of a system must remain positive to maintain stability and follow the laws of thermodynamics.

5. How is energy conserved in particle interactions?

In particle interactions, energy is always conserved, meaning that the total energy before and after the interaction remains the same. This can involve the conversion of energy into different forms or the creation and annihilation of particles.

Similar threads

Replies
75
Views
3K
Replies
13
Views
1K
Replies
29
Views
1K
  • Quantum Physics
Replies
2
Views
982
Replies
2
Views
687
Replies
5
Views
1K
Replies
4
Views
843
Replies
2
Views
463
  • Quantum Physics
Replies
10
Views
2K
Replies
1
Views
816
Back
Top