OurBigBook About$ Donate
 Sign in Sign up

Schrödinger equation for a one dimensional particle

Ciro Santilli (@cirosantilli, 37) ... Physics Particle physics Quantum mechanics Non-relativistic quantum mechanics Schrödinger equation Solutions of the Schrodinger equation
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
We select for the general Equation "Schrodinger equation":
  • x=x, the linear cartesian coordinate in the x direction
  • H^=−2mℏ2​∂x2∂2​+V(x,t), which analogous to the sum of kinetic and potential energy in classical mechanics
giving the full explicit partial differential equation:
iℏ∂t∂ψ(x,t)​=[−2mℏ2​∂x2∂2​+V(x,t)]ψ(x,t)
(1)
Equation 1.
Schrödinger equation for a one dimensional particle
.
The corresponding time-independent Schrödinger equation for this equation is:
[−2mℏ2​∂x2∂2​+V(x)]ψ(x)=Eψ(x)
(2)
Equation 2.
time-independent Schrödinger equation for a one dimensional particle
.

 Ancestors (9)

  1. Solutions of the Schrodinger equation
  2. Schrödinger equation
  3. Non-relativistic quantum mechanics
  4. Quantum mechanics
  5. Particle physics
  6. Physics
  7. Natural science
  8. Science
  9.  Home

 Incoming links (1)

  • Schrödinger equation for a free one dimensional particle

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook